If Daniel wants to predict how far he can hike. He can estimate that he can hike approximately 13.5 kilometers in 6 hours.
How to find the distance?Using the equation y = 2x + 1.5, where x is the time spent hiking in hours and y is the distance hiked in kilometers:
If Daniel spends 6 hours hiking, we can estimate the distance he can hike as:
y = 2x + 1.5
y = 2(6) + 1.5
y = 12 + 1.5
y = 13.5
Therefore, based on the equation, Daniel can estimate that he can hike 13.5 kilometers in 6 hours.
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Micah wants to know how much principal, P, he should invest at interest rate, r, to have an amount, A, of money at the end of t years. He knows that the formula for the final amount earned using simple interest can be found using the formula, A - P(1 + rt). Which equation is rewritten correctly to isolate principal, P
The correct equation to isolate principal, P, is:
What is simple interest?Simple interest refers to the interest that is earned on an initial amount of money, known as the principal, over a fixed period of time. It is called "simple" because it is calculated based only on the initial principal amount and does not take into account any interest earned on the interest itself, which is known as compound interest.
To isolate principal, P, we need to rearrange the given formula as follows:
[tex]A - P(1 + rt) =[/tex] Interest earned on principal (I)
The interest earned on the principal (I) is given by:
[tex]I = Prt[/tex]
Now, we can rewrite the above formula as:
[tex]A = P + I[/tex]
Substituting the value of I, we get:
[tex]A = P + Prt[/tex]
Now, we can isolate P by subtracting Prt from both sides:
[tex]A - Prt = P[/tex]
Therefore, the correct equation to isolate principal, P, is:
[tex]P = (A - Prt)[/tex]
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The correct equation to isolate P is c. P = A/(1 + rt)
What is simple interest?Simple interest is the term used to describe the interest that is accrued over a predetermined amount of time on an initial sum of money, known as the principal. It is known as "simple" interest because it is computed just using the initial principal sum and ignores any interest that has been earned on top of the interest itself, a concept known as compound interest.
The formula for the final amount earned using simple interest is A = P(1 + rt), where A is the total amount at the end of t years, P is the principal amount, r is the interest rate, and t is the time in years.
To isolate P, we can rearrange the formula as:
A = P(1 + rt)
Divide both sides by (1 + rt):
A/(1 + rt) = P
Therefore, the correct equation to isolate P is:
c. P = A/(1 + rt)
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DUE SOON PLEASE HELP
The slope intercept form of the given line whose coordinate of point is (- 5,9) and slope is - 5 would be y = -5x - 16.
Equation of a straight line: y = mx + b ------(i)
Given that
y = 9, x = -5
and slope, m = - 5
By putting above values in equation (i)
9 = -5 (-5) + b
9 = 25 + b
-16 = b
b = -16
y = -5x - 16
The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.
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Verify that $\triangle ABC\sim\triangle DEF$ . Find the scale factor of $\triangle ABC$ to $\triangle DEF$ .
$\triangle ABC:\ BC\ =\ 18,\ AB\ =\ 15,\ AC\ =\ 12$
$\triangle DEF:\ EF\ =\ 12,\ DE\ =\ 10,\ DF\ =\ 8$
The scale factor of the given triangle is 3/2.
What is triangle?
Triangles are a particular form of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional image shown here. An example of a 3-sided shape is a triangle. The total of a triangle's three angles is 180 degrees.
In triangle ABC and triangle DEF;
AB= 15, BC=18, AC=12 and DE=10, EF=12, DF=8
NOW, we know that scale factors are the REDUCED FORM of corresponding sides of two similar triangles, then;
HERE;
scale factors will be....
AB/DE=15/10=3/2
BC/EF=18/12=3/2
AC/DF=12/8=3/2
Hence, scale factor is 3/2.
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The correct question is:
Verify that △ABC∼△DEF. Find the scale factor of △ABC to △DEF. If △ABC: BC = 18, AB = 15, AC = 12 △DEF: EF = 12, DE = 10, DF = 8.
true or false: when two numerical figures appear side by side, spelled-out numbers and numerals should be alternated for clarity.
When two numbers appear side by side, the number and number should be written together for clarity. The statement is true.
The term numeric expression consists of two words, number for a number and expression for a sentence. Therefore, it is a word containing numbers. Teaching mathematics is the combination of numbers and mixed numbers using mathematical operations such as addition, subtraction, division, or division. There are many number expressions such as word form and number form. Numerical expressions are mathematical expressions that contain only numbers and one or more operators.
Examples of symbol operations are addition, subtraction, multiplication, and division. It can be represented by a radical symbol (square root symbol) or a real value.
Equations consist of numbers and contain multiple digits. There is no limit to the number of operators a shared account can have. Some numbers use only one operator of the two numbers, while others may have more than one operator. The only requirement for a numeric expression is that it only contains a number and an operator. Some numbers have only one operator code others have two or more.
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A 30
-foot-tall street lamp casts a 16.5
-foot-long shadow. Use the reciprocal functions and the Pythagorean Theorem, as necessary, to determine the distance from the top of the lamppost to the farthest part of the shadow. What is the angle at which the street lamp casts its shadow?
Step-by-step explanation:
See image
20 points and brainlist!
show all steps pls!!
Using the area formula,
Area of the prism = 40mm².
Define area?
The word "area" designates a vacant region. The length and width of a form are used to calculate its area. The units of unidimensional length are feet (ft), yards (yd), inches (in), etc. Yet, the area of a shape is a two-dimensional quantity. Measurements like square inches (in²), square feet (ft²), square yards (yd²), etc. are used to measure anything in a square.
In the figure,
We have 2 equal rectangles and 2 equal triangles.
Now dimensions of the rectangles, l = 4mm and b = 3mm.
Area of 2 rectangles = 2 × 4 × 3
= 24mm².
Height of triangle, h = 4mm and base, b = 4mm.
Area of 2 triangles = 2 × 1/2 × b × h
= 4 × 4
= 16mm².
Therefore, total area of the prism = 24 + 16 = 40mm².
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2√3 and √3 geometric mean
Answer:
Step-by-step explanation:
The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.
Example: What is the Geometric Mean of 2 and 18?
First we multiply them: 2 × 18 = 36
Then (as there are two numbers) take the square root: √36 = 6
In one line:
Geometric Mean of 2 and 18 = √(2 × 18) = 6
Only these questions
Answer: 4, -7
Step-by-step explanation:
Plug the numbers into the variables and solve;
(6)(12) / 6+12
Multiply the values in the numerator and add the values in the denominator.
72/18
Then divide and the answer will be 4.
For the second one:
4+3 / 3-4
Add the values in the numerator and subtract the values in the denominator.
7/-1
Dividing this will make 7 a negative, so the answer is -7.
Hope that helped ^^;;
Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
Answer:
1 over 36
Step-by-step explanation:
Explain how you would calculate the salary and benefits required to move from a place with an average cost of living to one with a cost of living index of 133 so that you could maintain your standard of living.
Answer:
here are the factors
Cost of living data includes the expenses incurred for food, shelter, transportation, energy, clothing, education, healthcare, childcare, and entertainment. A cost of living index tracks how much basic expenses rise over time and among different regions.
here
How To Calculate Cost Of Living
Subtract the index of your current city from the index of the city you want to move to: 115.1 - 90.9 = 24.2.
Divide the resulting difference by the index of your current city: 24.2 ÷ 90.9 = 0.266.
Multiply the resulting quotient by 100 to get the percentage: 0.266 x 100 = 26.6%
whats the answer for that qustion
Answer to Whats the answer for that question?:
A correct response to a question asked to test one's knowledge.
Step-by-step explanation:
The way you answer a question depends on how you view it. This could entail thought process, method, and calculations. So overall it depends on perspective.
Manuel has 18 yards of fabric to make table runners. It takes Three-fourths of a yard to make each runner. The expression that represents the amount of fabric left after making t table runners is 18 minus three-fourths t. Which are possible numbers of table runners that Manuel could make? Select three options.
20
22
24
26
28
Manuel could make up to 24 table runners with the given amount of fabric thus all possible values are 20, 22, and 24.
What is algebraic expressions?One or more variables, integers, and mathematical operations like addition, subtraction, multiplication, and division are all included in an algebraic expression. Algebraic expressions are used to simulate events in the actual world and to represent relationships between quantities. Constants (fixed values), variables (unknown values), and coefficients can all be found in an algebraic equation (numbers multiplied by variables).
The expression for the left over fabric is:
Amount of fabric left = 18 - (3/4)t
Solving for t we have:
(3/4)t = 18
t = 24
Hence, Manuel could make up to 24 table runners with the given amount of fabric, thus all possible values are 20, 22, and 24.
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helloo, I need help!
Answer:
∠1 = 126°
∠4 = 54°
∠7 = 126°
Step-by-step explanation:
Since line p and line q are parallel lines we can use the angle relations to find the missing angle measures.
∠1 and ∠3 are alternate and congruent, so their measures are equal and 126° each.
∠4 and ∠3 are making a straight line and are supplementary angles, so their sum is adding up to 180°.
To find ∠4 we need to subtract 126 from 180:
180 - 126 = 54°
∠7 and ∠3 are corresponding angles and so they are equal in measurement and 126° each.
Jim will rent a car for the weekend he can choose one of two plans. the first one has no initial fee but cost $0.70 cents per mile driven. the second plan has an initial fee of $70 and cost an additional $0.50 per mile driven. how many miles would Jim need to drive for two plans to cost the same?
Mario’s bank account has a balance of -49.25 dollars. Which of these statements must be true?
a) Mario just wrote a check for $49.25
b)The bank owes Mario a little more than $50
c)Mario owes the bank a little more than $50
d)Mario owes the bank a little less than $50
Answer: D Mario owes the bank a little less than $50
I need help I need to show my work help me please
The value of x in the tangent angle formed by the intersecting chords on the circle is 8.
What is the value of x?
The value of x is calculated by setting up equation for the sum of angles in a circle in order to obtain the value of the opposite arc angle (arc WX) as shown below.
arc WX + arc WV + arc VX = 360 ( sum of angles in a circle)
arc WX + 96⁰ + 64⁰ = 360⁰
arc WX + 160 = 360
arc WX = 360 - 160
arc WX = 200
The value of angle WVX is equal to half of arc angle WX (based on intersecting chord theorem).
m ∠WVX = ¹/₂ arc WX
12x + 4 = ¹/₂ (200)
12x + 4 = 100
12x = 100 - 4
12x = 96
x = 96/12
x = 8
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Describe the data. It would help a lot. Thank you
Answer:
Frequency is high hope this help you
Gavin is doing a survey to predict the results of an upcoming school election. He waits outside the lunchroom during each lunch period and surveys every tenth student leaving the lunchroom. This table shows the results of his survey.
Position - Votes
President
Henry 36
Christy 42
Celina 22
Vice President
Tristan 14
Kenny 46
Madison 40
Treasurer
Priscilla 53
Reuben 24
Erica 23
-Secretary-
Xavier 33
Ben 30
Charlie 37
Based on his survey, Gavin will predict who the 1,500 students in his school will vote for in the races for president, vice president, treasurer, and secretary. Complete the steps below to predict the outcome of the election.
Part A
Predict how many votes from the student population each candidate for president will get in the election. (Hint: Set up and solve a proportion between the sample and the population.)
Part B
Based on the survey results, who will most likely get the highest percentage of votes for the president’s position? What is that percentage?
Part C
Predict how many votes from the student population each candidate for vice president will get in the election.
Part D
Based on the survey results, who will most likely get the highest percentage of votes for the vice president’s position? What is that percentage?
Part E
Predict how many votes each candidate for treasurer will get in the election from the student population.
Part F
Based on the survey results, who will most likely get the highest percentage of votes for the treasurer’s position? What is that percentage?
Part G
Predict how many votes each candidate for secretary will get in the election from the student population.
Part H
Based on the survey results, who is most likely to get the highest percentage of votes for the secretary’s position? What is that percentage?
100 POINTS! PLEASE ANSWER ALL OF THEM OF I'LL REPORT YOUR ANSWER!!
Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.
What is probability?
Probability is a measure of the likelihood of an event occurring.
Part A:
To predict how many votes each candidate for president will get in the election, we can set up a proportion between the sample and the population
Let x be the number of votes each candidate will receive in the election.
For Henry:
36/150 = x/1500
x = (36/150) * 1500
x = 360
For Christy:
42/150 = x/1500
x = (42/150) * 1500
x = 420
For Celina:
22/150 = x/1500
x = (22/150) * 1500
x = 220
Therefore, Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.
Part B:
Based on the survey results, Christy is most likely to get the highest percentage of votes for the president’s position with 42/100 votes, which is approximately 42%.
Part C:
To predict how many votes each candidate for vice president will get in the election, we can set up a proportion between the sample and the population.
Let x be the number of votes each candidate will receive in the election.
For Tristan:
14/150 = x/1500
x = (14/150) * 1500
x = 140
For Kenny:
46/150 = x/1500
x = (46/150) * 1500
x = 460
For Madison:
40/150 = x/1500
x = (40/150) * 1500
x = 400
Therefore, Tristan is predicted to receive 140 votes, Kenny is predicted to receive 460 votes, and Madison is predicted to receive 400 votes for the vice president’s position.
Part D:
Based on the survey results, Kenny is most likely to get the highest percentage of votes for the vice president’s position with 46/100 votes, which is approximately 46%.
Part E:
To predict how many votes each candidate for treasurer will get in the election, we can set up a proportion between the sample and the population.
Let x be the number of votes each candidate will receive in the election.
For Priscilla:
53/150 = x/1500
x = (53/150) * 1500
x = 530
For Reuben:
24/150 = x/1500
x = (24/150) * 1500
x = 240
For Erica:
23/150 = x/1500
x = (23/150) * 1500
x = 230
Therefore, Priscilla is predicted to receive 530 votes, Reuben is predicted to receive 240 votes, and Erica is predicted to receive 230 votes for the treasurer’s position.
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What is Limit of StartFraction 4 minus 3 x + x squared Over 2 x squared + 1 EndFraction as x approaches infinity? 0 One-half 2 nonexistent
The limit of the given function as x approaches infinity is 2.
What is infinity?Infinity is a concept used in mathematics to represent a quantity that is unbounded or without limits. It is often used to describe a value or set of values that increases or decreases indefinitely without ever reaching a final value.
According to question:To find the limit of the given function as x approaches infinity, we need to determine the behavior of the function as x becomes very large (positive or negative).
Let's examine the expression inside the limit as x approaches infinity:
StartFraction 4 - 3x + x² Over 2x² + 1 EndFraction
As x approaches infinity, the highest power term in the numerator and denominator dominates. In this case, the term x² dominates in the numerator and denominator. So we can simplify the expression by dividing both numerator and denominator by x²:
Start Fraction 4/x² - 3/x + 1 Over 2 + 1/x² End Fraction
As x approaches infinity, both the terms 3/x and 1/x² become very small and can be ignored. Therefore, the expression approaches:
Start Fraction 4/x² - 0 + 1 Over 2 + 0 End Fraction
which simplifies to:
Start Fraction 4 Over 2 End Fraction = 2
Therefore, the limit of the given function as x approaches infinity is 2.
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according to the national retail federation, the average shopper will spend $1,007.24 during the holiday shopping season. what is the null and alternatehypothesis?
Based on the amount predicted to be spent, the hypotheses Null Hypothesis = $1,007.24 and Alternate Hypothesis ≠ $1,007.24
The null hypothesis, or H0, in statistics science is the exact reverse of what the researcher wants to investigate. Generally, unless there is compelling proof to the contrary, the null hypothesis is taken to be correct. Another theory that will demonstrate the area one wants to investigate and be reflected by H1 must be developed.
The forecast is confirmed by the null hypothesis, which in this instance is that the typical consumer will indeed spend $1,007.24. According to the Alternate Hypothesis, the predicted occurrence won't occur, so in this instance, the shopper wouldn't spend $1,007.24. In conclusion, the variant contradicts the null hypothesis and supports it.
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Nancy's new baby weighed 9.5 pounds one month after leaving the
hospital. If he gained 1.5 pounds since leaving the hospital, how many
ounces did he weigh when he left the hospital?
A 0.025kg golf ball is hit off a tee with a force of 450N. If the golf club was in contact with the ball for 0.012 s, how much will its velocity change?
A 0.025kg golf ball is hit off a tee with a force of 450N. If the golf club was in contact with the ball for 0.012 s, the velocity of the golf ball will increase by 216 m/s.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
To solve this problem, we can use the equation:
F = m*a
where F is the force applied, m is the mass of the object, and a is the acceleration.
We can rearrange this equation to solve for acceleration:
a = F/m
Using this equation, we can find the acceleration of the golf ball:
a = 450N / 0.025kg = 18000 m/s²
Next, we can use the equation:
v = v0 + a*t
where v is the final velocity, v0 is the initial velocity (which we'll assume is 0 m/s), a is the acceleration, and t is the time.
We know the acceleration and the time, so we can solve for the final velocity:
v = 0 + (18000 m/s²) * 0.012 s
v = 216 m/s
Therefore, the velocity of the golf ball will increase by 216 m/s.
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Which number should be added to both sides of the quadratic equation to complete the square?
Using the equations we know that the square should be finished by adding 9 to both sides.
What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
So, write the equation so that the terms with x are on the left and the constants are on the right:
x² – 6x = 5
Ensure that the x2 term's coefficient is 1:
x² – 6x = 5
Including a phrase on both sides will complete the left side's square. The x term's coefficient is multiplied by two and squared to achieve this.
To make the equation equal on both sides, add the same amount to the right side.
x² – 6x + 9 = 5 + 9
(x-3)² = 14
Therefore, using the equations we know that the square should be finished by adding 9 to both sides.
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Correct question:
What number should be added to both sides of the equation to complete the square?
x2 – 6x = 5
what is 8² + 36 vfvdscvfcfd
Answer:
100 or 10²
Step-by-step explanation:
8² = 64
36 = 6²
64 + 36 = 100
8² + 6² = 10²
pc is less than 50% (this can be seen by the shaded area which is less than half of the area under the graph). does this mean that the cost of overage or the cost of underage is higher?
The fact that PC is less than 50% indicates a higher probability of underage.
However, without additional information on the costs associated with overage and underage, we cannot determine which cost is higher.
From the information given in the student question, it is clear that the probability of underage (PC) is less than 50%, as indicated by the shaded area under the graph.
To determine whether the cost of overage or the cost of underage is higher, follow these steps:
1. Identify the costs associated with overage and underage in the given context. Overage cost refers to the cost incurred when the inventory is higher than demand, while underage cost refers to the cost incurred when the inventory is lower than demand.
2. Analyze the graph or data provided to compare the costs of overage and underage. Since the student question does not provide any specific data or graph, we cannot accurately determine which cost is higher based on the given information.
3. Interpret the results. If the cost of overage is higher than the cost of underage, this means that having excess inventory is more expensive than having insufficient inventory.
Conversely, if the cost of underage is higher than the cost of overage, this means that not having enough inventory is more expensive than having excess inventory.
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Heyyy y’all can you please help me
Answer:
Step-by-step explanation:
x + 5 < 7
x + 5 - 5 < 7 - 5
x < 2
The number line will have a open circle at 2 and be shaded to the left
completely. The solution is all numbers less than positive 2.
Find the probability that a chosen point, in the figure lies in the shaded region.
The probability that a chosen point, in the figure lies in the shaded region is 3.18.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
The probability of the point chosen in the shaded region is calculated by the formulae
Probability = [tex]\frac{Area of shaded region}{Total area}[/tex]
To find the total area we need to find the area of a triangle and the area of a semicircle.
Area of triangle = 1/2 * Base * Height
= 1/2 * 15 * 6
= 45
Area of semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
= [tex]\frac{\pi (3)^{2} }{2}[/tex]
=14.13
Therefore the probability that chosen point = [tex]\frac{45}{14.13}[/tex] = 3.18
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Solve for length of segment d.
2 cm
3 cm
6 cm
d= [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer: 4
Step-by-step explanation:
2x6 = 3xd
12=3d
d=4
You can trust this answer because I answered it right now and it was correct. <3
The value of length of segment d is,
⇒ d = 4
What is mean by Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle is shown in figure.
Now, We can formulate;
⇒ 6 × 2 = d × 3
Solve for d;
⇒ 12 = 3d
⇒ 3d = 12
⇒ d = 12/3
⇒ d = 4
Thus, The value of length of segment d is,
⇒ d = 4
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Can someone help me please
The linear equation that passes through the given points is:
y + 9 = -10*(x - 1)
How to write the linear equation?A general linear equation that passes through two points (x₁, y₁) and (x₂, y₂) has a slope given by:
a = (y₂ - y₁)/(x₂ - x₁)
Then using any of these points we can write the line as:
y - y₁ = a*(x - x₁)
Here the points are (1, -9) and (-10, 101), then the slope is:
a = (101 + 9)/(10 - 1) = 110/-11 = -10
And using the point (1, -9) we can write the line as:
y + 9 = -10*(x - 1)
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Brad Huxter offers to pay $1,000 over the dealer' cost for a luxury coupe. The base price is $62.685 and options total $5,209. There is no destination charge. If the dealer' costs are 87 percent of the base price and 89 percent of the options, what is Huster's offer?
r offers to pay $1,000 over the dealer' cost for a luxury coupe. The base price is $62.685 and options total $5,209. There is no destination charge. If the dealer' costs are 87 percent of the base price and 89 percent of the options, what is Huster's offer?The dealer's cost for the base price would be 87% of $62,685, which is $54,508.95. The dealer's cost for the options would be 89% of $5,209, which is $4,638.01. Therefore, the total dealer's cost would be $54,508.95 + $4,638.01 = $59,146.96. Brad Huxter's offer is $1,000 over the dealer's cost, so his offer would be $59,146.96 + $1,000 = $60,146.96.