Answer:
$4088.5
Step-by-step explanation:
Given data
Price a = $6500
Rate of depreciation r= 14.3%
Time x= 3 years
The exponential function Decay is described as
y= ab^x
For decay
b= 1-r
a.
Hence the exponential function that model the value of the computer is
y=a(1-r)^x
b.
y= 6500(1-0.143)^3
y= 6500*(0.857)^3
y= 6500*0.629
y=$4088.5
Hence the value of the computer after 3 years is $4088.5
a 10-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8feet from the base of the building. How high up does the ladder reach?
The ladder would reach a distance of 6 feet up the wall.
The Pythagorean theorem.This is a theorem that can be used to determine the unknown side of a right angled triangle. It is given as:
/hyp/^2 = /opp/^2 + /adj/^2
In the given question, the ladder is placed a against a vertical wall of a building. Given that the bottom of the ladder is 8 feet to the base of the building. Therefore this is would form a right angled triangle, such that the Pythagorean theorem can be applied.
So that, let the height of the ladder on the wall be represented by t. Then;
10^2 = t^2 + 8^2
100 = t^2 + 64
t^2 = 100 -64
= 36
t = (36)^1/2
t = 6 feet
Thus the ladder is placed 6 feet up the vertical wall.
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the range of daliyh temperatures during march was 32 degreed and the range of the daily temperatures during july was 8 degrees which month had a greater difference between the hottest abd coldeest temperaturw4
Difference between coldest and hottest temperature was greater in march than July.
What is range?The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.
Given,
Range of temperature in march = 32°
⇒ difference in temperature in march ΔT = 32°
Range of temperature in July = 8°
⇒ difference in temperature in July Δt = 8°
By the above observation
ΔT > Δt .
difference in temperature in march > difference in temperature in July.
Hence, In month of march, there was greater difference between the hottest and coldest temperature than in month of July.
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Is math in Grade 6 hard?
Sixth grade math class can be difficult, even for students who have done well in math previously. In sixth grade you begin to learn more advanced topics such as ratios and rates.
You also work more with fractions. Sixth grade is also when you begin building the foundations of algebra, geometry, and statistics.
example
given problem in maths
- x + 8 > 6 ( isolate the term in x by subtracting 8 from both sides )
- x > - 2 ( multiply both sides by - 1 )
Remembering to reverse the inequality symbol when multiplying/dividing by a negative quantity
x < 2 ← reverse symbol
From the given list the only value less than 2 is 1, hence
x = 1 ← is the only possible solution
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Find the area of the kite. Round to the nearest tenth.
The area of the kite is 90 sq.m.
Calculation
Area of the kite (quadrilateral) = [tex]\frac{product of their diagonal}{2}[/tex] = [tex]\frac{pq}{2}[/tex]
= [tex]\frac{12m*15m}{2}[/tex] = [tex]\frac{180 sq.m}{2}[/tex] = 90 sq.m.
What is the geometry of a kite?
The diagonals of every kite are orthodiagonal (at right angles), and when convex, they are tangential quadrilaterals (its sides are tangent to an inscribed circle). The quadrilaterals that are orthodiagonal and tangential are precisely convex kites. In addition to the squares, which are special examples of both right kites and rhombi, they also include the right kites, which have two opposite right angles, the rhombi, which have two diagonal axes of symmetry, and the squares.To learn more about kite geometry, refer to https://brainly.com/question/26870235
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How do you find the third side of a triangle that is not right?
The third side of a triangle can be found using the Pythagorean Theorem.
The Pythagorean Theorem states that for a triangle with sides of length a, b, and c (with c being the length of the unknown side) a^2 + b^2 = c^2.
To find the third side of a triangle that is not right, first calculate the lengths of the two known sides. Let's say the lengths of the two known sides are a = 5 and b = 12.
Next, plug the values into the Pythagorean Theorem and solve for c.
[tex]a^2 + b^2 = c^2[/tex]
[tex](5)^2 + (12)^2 = c^2 \\25 + 144 = c^2[/tex]
[tex]169 = c^2[/tex]
Finally, take the square root of both sides to solve for c.
sqrt(169) = c
13 = c
Therefore, the length of the third side is 13.
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What are equivalents in a reaction?
In a reaction the amount f a substance which react with another substance is known as it's equivalent.
The definition of equivalent is "weight in grams of a substance that displaces or combines with one gram of hydrogen."
It is an important part of chemistry and comes under stoichiometry. In every reaction there is a reactant which forms the suitable product and the amount of that is calculated using stoichiometry.
The mole ratio is a typical sort of stoichiometric relationship that compares the amounts in moles of any two components in a chemical process.
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Cherri brought $2,100 computer on an installment plan. She made a $400 down payment, and she has to make a monthly payment for $79. 50 for the next two years. How much interst will she pay
If Cherri brought $2100 computer on an installment plan and made $400 down payment and monthly payment for $79. 50 for the next two years, then the interest amount is $208 .
the cost of the computer is = $2100 ;
the amount paid as down payment is = $400 ;
the amount that will be paid in monthly installment is = $79.50 ;
the time for the loan is = 24 months ;
So , the amount paid as installment is 24 months is = [tex]24 \times79.50[/tex]
= $1908 .
So , the total amount paid by Cherri with installment plan is = [tex]\$1908+\$400[/tex]
= $2308 .
So , the interest amount paid is = [tex]\$2308-\$2100[/tex]
= $208 .
Therefore , Cherri will pay $208 as interest .
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7. Communicate and justify Janice is dividing
1.926. Why does she exchange the
place-value blocks shown for 18 tenths and
12 hundredths?
The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.
What do we mean by an exchange?The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.
Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.
The complete question is:
Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?
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The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.
What do we mean by an exchange?The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.
Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.
The complete question is:
Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?
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What is the frequency of the function f(x)? f(x)=3cos(πx)−2 Express the answer in fraction form
Answer:
1/2
Step-by-step explanation:
You want to know the frequency of the function f(x) = 3cos(πx) -2.
FrequencyFor frequency f, the basic function (before vertical scaling or translation) will be written ...
f(x) = cos(2πfx)
That is, we can find the frequency by comparing the arguments of the cosine function:
πx = 2πfx
f = (πx)/(2πx) = 1/2
The frequency of the function is 1/2.
__
Additional comment
You will notice in the attached graph that there is 1/2 period in 1 horizontal unit. A full period takes 2 horizontal units, so the frequency is ...
(1 period)/(2 units) = 1/2 periods/unit.
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In the diagram, line n is parallel to line p.
Answer:
<2 and <8 is alt interior angles, 3 and 5 are also alt interior angles, 1 and 7 are alt exterior angles, 1 and 5 are corresponding angles, 6 and 8 are vertical angles and 3 and 7 are corresponding angles
Step-by-step explanation:
What is the dual of a ∧ b ∨ c ∧ d?
On interchanging the logical AND operator with logical OR operator and zeroes with ones,
(B'+C).A = (B'.C) + A
Now, According to the question:
Concept:
Duality theorem states that the dual of the Boolean function is obtained by interchanging the logical AND operator with logical OR operator and zeroes with ones. For every Boolean function, there will be a corresponding Dual function.
Calculation:
On interchanging the logical AND operator with logical OR operator and zeroes with ones,
(B'+C).A = (B'.C) + A
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The complete question is this:
Calculate the dual of the Boolean expression (B' + C).A
Which term BEST describes the quadrilateral formed when line segments connect points A, B, C, and D?
Answer:
The quadrilateral formed is a trapezoid
Step-by-step explanation:
In this case, it is necessary to know what points A, B, C, and D.
If the points are equal to the following coordinate points
A (-2, 1)
B (2, 1)
C (3, -2)
D (-3, -2)
As shown in the image the answer would be a trapezoid.
________________________________
The figure cannot be a square, a rhombus or a rectangle since by definition these are:
A square has all sides of equal length and all its right angles.
A rhombus is a parallelogram that has all sides of equal length and all its angles different from right angles.
A rectangle is a parallelogram that has all its right angles.
The figure that we obtain is neither a parallelogram nor does it have all its right angles.
William is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants. 3 t-shirts, and 4 pairs of shoes. How many different outfits does William have to choose from?
Answer:
3
Step-by-step explanation:
because he has 2 pants and they could get washed do he could wear the three shirts and wear the same pants again.
Jim received a gift card of $70 for a pizza restaurant the restaurant charges $20 for pizza Ciara received a gift card of $60 for different pizza restaurant the restaurant charges $15 per pizza write an equation to show when the two cards would have the same amount of money left on them
Answer: 70-20x = 60-15x, where x is the number of pizzas purchased.
Step-by-step explanation:
(TLDR, the solution to the given equation is that the cards will have the same amount of money left on them if both jim and clara buy two pizzas each. feel free read my explanation on how to write equations like this in the future, should you need it.)
so, we know that since jim and clara received $70 and $60 gift cards (respectively), these numbers are called constants, because their original values do not depend on anything (they are given). while these numbers may decrease with the amount of pizzas bought, their original values are fixed.
now, the price for one pizza at jim's pizza restaurant is $20, right? so if you buy 2 pizzas, it'll be $40, 3 pizzas are $60, and so on. but we can actually represent the price of the pizzas as 20x (where x is the number of purchased pizzas, and 20 is the price of one pizza), and this expression works for any number of pizzas you buy. you can also apply this to clara's restaurant, as the total price of the number of pizzas she buys is represented by 15x.
the words charges and left in this problem tells you that you're going to need to subtract from the total amount of money on the gift cards. using the expressions above, the amount of money jim has left on his card can be expressed as 70 (amount of money on the card) MINUS 20x (number of money spent on however many pizzas were bought (x)). likewise, the amount of money left on clara's card after she buys however many pizzas can be represented as 60-15x. you can then set the equations equal to each other and solve for x, which tells you how many pizzas they each need to buy to have the same number of $$ left on their cards.
70-20x = 60-15x
10=5x
2=x. hope this helped :3
the sum of 1/4 a number and 5 is 3. What is the number?
Answer:
x = -2/4 = -1/2
Step-by-step explanation:
The sum of 4 times a number and 5 is 3.
Let sum = +
times = *
is means =
a number = x
So, 4x + 5 = 3. Then we solve it !
Subtract 5 to both sides to get 4x = - 2.
Next, we divide 4 to both sides to get x = -2/4 = -1/2
Answer:
The number is -8
Step-by-step explanation:
You can set up the question as (x/4)+5 = 3
x/4 = -2
x = -8
9 ft 8 ft 5 ft 13 ft What is the area of this figure?
Answer:
D. 98 ft.^2
Step-by-step explanation:
A= b*h
=13*8
=104 ft.^2
Because there is a piece missing, we know it must be under 104 ft.^2. They didn't give us enough information to find the complete area of the missing triangle, so I used the process of elimination. With the responses given and this information, we can assume that the answer is 98 ft.^2.
Mario wait table at a retaurant where he make money by earning tip. One night, two of hi regular cutomer dined at the retaurant. Cutomer A had a total bill of $430. 50 and tipped 20% of the bill. Cutomer B had a total bill of $184. 00 and tipped 25% of the bill. How much did Mario make from the tip of hi two regular cutomer
Mario make total $132.1 from the tip of his two customers.
The amount of tip obtained = total bill × percentage of the bill
Put the respective values in equation depending on the customer A or B
Tip from customer A
Tip = 430.50 × 20%
Now find percentage by multiplication and division on Right Hand Side of the equation
Tip = $86.1
Tip from customer B
Tip = 184 × 25%
Again perform multiplication and division on Right Hand Side of the equation
Tip = $46
Total tip earned = 86.1 + 46
Simply add the two numbers on Right Hand Side of the equation to find the total tip earned
Total tip earned = $132.1
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A rectangle with two parallel sides is called a
Answer:
Parallelogram!
Step-by-step explanation:
Hope this helps! :3
Which equation is graphed here?
Responses
A 2x - y = 122x - y = 12
B x + y = 12x + y = 12
C 2y - x = 122y - x = 12
D 2x + y = 122x + y = 12
E x + 2y = 12x + 2y = 12
The equation of the line passing through (3, 6) and (6, 0) is 2x + y = 12
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
The line passes through (3, 6) and (6, 0). Hence:
y - 6 = [(0 - 6)/(6 - 3)](x - 3)
y - 6 = -2(x - 3)
y = -2x + 12
2x + y = 12
The equation of the line is 2x + y = 12
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Solve 3x^2 - 6x - 9?
Answer:
3(x+1)(x-3)
Step-by-step explanation:
Well, this isn't an equation, but we can factor it like this:
[tex]3x^2-6x-9=3(x^2-2x-3)=3(x+1)(x-3)[/tex]
Is a solution of pair of equations 3x 2y 4 and 2x y 5?
The solution of this pair of equations is (2, 3).
To solve this pair of equations, we can use the substitution method.
First, we solve the first equation for y:
3x + 2y = 4
2y = 4 - 3x
y = (4 - 3x) / 2
Next, we substitute this expression for y in the second equation:
2x + (4 - 3x) / 2 = 5
2x + 2 - 3x = 10
-x = 8
x = -8
Finally, we substitute this value for x in the expression for y to find the value of y:
y = (4 - 3(-8)) / 2
y = (4 + 24) / 2
y = 28 / 2
y = 14
Therefore, the solution of this pair of equations is (x, y) = (-8, 14).
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Josefina wants to prove that figures d and d are similar.
What seguence of transformation could Josefina perform to prove the figures are similar?
The left shift required to translate from D to D" is 6 units and scale factor for dilation of D" from D' is 2.5.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
Compare the corresponding vertex of the given figures.
It is given as,
(-5, 0) → (1, 0)
It can be concluded that the graph of D is shifted (1 - (-5)) = 6 units towards left.
The scale factor is given as,
Length of side of D" ÷ Length of side of D'
⇒ 10 ÷ 4 = 2.5
Hence, the required shift and the scale factor are obtained as 6 units and 2.5 respectively.
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ind the median and mean of the data set below: 29,8,11,29,29,6,49
Answer:
Mean= 23
Median= 29
Step-by-step explanation:
I need help plz no links
Answer:
look at the picture I sent
Hassan lined up the interior angles of the triangle along the line below.
Triangle A B C. Angle C is 112 degrees and angle B is 30 degrees. 2 lines extend from a horizontal line to form 3 angles. From left to right the angles are 38 degrees, question mark, 112 degrees.
What is the measure of the missing angle along the line?
30°
38°
112°
150°
Answer:
A/30 degrees
Step-by-step explanation:
Just took the test and passed it
Answer:
A
Step-by-step explanation:
lol
PLEASE HELP ME ILL MARK YOU AS A Brainiest
Answer:
4 + 2 + q - 1 + q = 15
Step-by-step explanation:
P = 4 + 2 + q - 1 + q = 15
The graph shows the cost of grapes at a grocery store. What is the slope of the line?
The slope of the line that passes through the graph is 3
How to calculate the slope of the line?From the graph, the points are given as
(0, 0) and (1, 3)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (0, 0) and (1, 3)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 0) and (1, 3)
Substitute the known values in the above equation
So, we have the following equation
Slope = (3 - 0)/(1 - 0)
Evaluate
Slope = 3
Hence, the slope of the line is 3
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-3 + 7 - 2
simplifyyyyyyyyy please someone
Answer:
2
Step-by-step explanation:
-3+7=4
4-2=2
Answer:
2
Step-by-step explanation:
-3 is a negative number so,
-3 + 7 is 4.
Then, 4 - 2 is 2.
So the answer is 2.
Please help this is due soon and I'm struggling!
1)
a. 4
b. 9
c. -7
d. -23
2)
a. F
b. F
c. T
d. F
3)
a. 100 -66 =34
b. 78 x 3 = 234
c. 36 + 24 = 60
d. 4 x 17 x 3 = 204
21)
a. -9 + (-12)
= - 9 - 12
= - 21
b. -17 + (3)
= -17 + 3
= - 14
c. 24 + ( -11 )
= 24 - 11
= 13
d. - 15 + (-10)
= - 15 - 10
= - 25
e. - 63 + ( -42) + 8
= - 63 - 42 + 8
= - 97
f. 101 + ( -11 ) + ( -100 )
= 101 -11 - 100
= - 10
A company creates containers of mixed nuts using the same ratios of different types of nuts in each container. In a 20 ounce container of the company's mixed nuts, there are 11 ounces of peanuts.
There are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.
We know that the company uses the same ratio of different types of nuts in each container. Therefore, we can use the ratio of peanuts to the total weight in the 20-ounce container to find the weight of almonds in the 42-ounce container.
In the 20-ounce container, 11 ounces of the nuts are peanuts. Therefore, 20-11 = 9 ounces of the nuts are not peanuts.
To find the weight of almonds in the 42-ounce container, we can use the same proportion of non-peanut nuts to the total weight. So,
9 ounces / 20 ounces = x / 42 ounces
Cross-multiplying we get:
9 × 42 ounces = 20 × x
x = 37.8 ounces
So, there are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.
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