If Benjamin's credit card has an APR of 19%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. the total amount that Benjamin has made in payments over the 7 months is: $285.01.
Total amount made in paymentTo determine the total amount that Benjamin has made in payments over the 7 months we would need to add up or sum up all the Payment Finance received charges for the first six months.
Now let calculate the total amount that Benjamin made in payment.
Hence,
Total amount made in payment=$48.00+$47.80+$47.60+$47.40+$47.20+$47.01
Total amount made in payment =$285.01
Therefore if Benjamin's credit card has an APR of 19%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. the total amount that Benjamin has made in payments over the 7 months is: $285.01.
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I WILL GIVE BRAINLIEST!!!
Please help me.
Translate all word problems into equations.
You only need to give equation+answer for number 7 and 9.
7. Between noon and midnight, the temperature
dropped 20°F. If the temperature was -8°F at
midnight, what was the temperature at noon?
8. If a strawberry pie is divided into 6 equal slices, each
slice has 240 calories. How many calories are in the
whole pie?
9. A chest was resting on the ocean floor 1000 ft below
the surface. It was lifted to the deck of a ship 8 ft
above the surface. How far was the chest lifted?
10. When all the kids who tried out for Little League
were divided into teams of 20 players, there were
exactly 8 teams. How many kids tried out?
Number 7:
-8=x-20
-8+20=x
12=x
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 2 and 3+ i
The polynomial function of least degree with only real coefficients is y = x³ - 8 · x² + 22 · x - 20.
What is the polynomial function of least degree with real coefficients?
The statement indicates that the polynomial has a leading coefficient of 1 and zeros of 2 and 3 + i. By algebra of quadratic equations, equations with real coefficients with complex roots are α + i β and α - i β. Then, all the roots of the polynomial function of least degree are 2, 3 + i and 3 - i. The complete expression is shown below:
y = 1 · (x - 2) · (x - 3 - i) · (x - 3 + i)
y = (x - 2) · [x² - 3 · x - i · x - 3 · x + i · x + (3 + i) · (3 - i)]
y = (x - 2) · (x² - 6 · x + 9 - i²)
y = (x - 2) · (x² - 6 · x + 10)
y = x³ - 6 · x² + 10 · x - 2 · x² + 12 · x - 20
y = x³ - 8 · x² + 22 · x - 20
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find the difference. (6d+5)-(2-3d)
Solving the Question
[tex](6d+5)-(2-3d)[/tex]
We subtract algebraic expressions exactly as we would integers, or as we would in a 'normal' subtraction sentence. First, we must open up the brackets:
[tex]= 6d+5-2+3d[/tex]
Now, combine like terms:
[tex]= 9d+5-2\\= 9d+3[/tex]
Answer9d+3
Alexia landed her plane. The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed. How high was the plane after 1000 seconds?
A) 8500 meters
B) 1500 meters
C) 3500 meters
D) 5 meters
4x1+6-9x3-6; answer 7
Add Brackets Or Parentheses to solve
Answer:
-23
Step-by-step explanation:
Remember Bedmas/Pedmas
P/B = Bractets or parentheses ( )
E = Exponents 3⁵
D = Division ÷
M = Multiply ×
A = Addition
S = Subtract
(4x1)+6-9x3-6
4+6-(9×3)-6
(4+6)-27-6
(10-27)-6
-17-6
-23
How are postulates and theorems related?
Answer:
A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven
Step-by-step explanation:
Answer:
Theorems and postulates are statements of geometrical truth.
Explanation:
We create theorems based on postulates.
Postulates are the mathematical statements we assume to be true without any proof while theorems are mathematical statements we can or must prove as true.
--------------------
Hope this helps!
Have a great day and God bless! :)
A food manufacturer donates money to schools based on the number of
its product labels the school collects. The students at one school collected
2,100 product labels in three months. The number of labels collected in the
first two months was three times the number of labels collected in the thirc
month. How many product labels were collected in the third month?
The total number of labels collected by the students in the third month is equal to 525 by the equation 3 x + x = 2100.
Let the number of labels collected in the first two months be 3 x.
We are given that the number of labels collected in the first two months was three times the number of labels collected in the third month.
So, the number of labels collected in the third month = 3 x / 3 = x
Now, we are also given that:
The total number of labels collected by the students at the school = 2100.
So, we get the equation as:
3 x + x = 2100
4 x = 2100
x = 2100 / 4
x = 525 labels.
Therefore, we get that, the total number of labels collected by the students in the third month is equal to 525 by the equation 3 x + x = 2100.
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find the equivalent fractionsss with large denominatorsss
Answer: 27/45
Step-by-step explanation:
[tex]\displaystyle\\\frac{3}{5} =\\\\\frac{3}{5}*1=\\\\ \frac{3}{5}*\frac{9}{9} =\\\\\frac{3*9}{5*9}= \\\\\frac{27}{45}[/tex]
Please help I’m struggling!!
Answer:
5
2
8
4
6
1
3
7
Step-by-step explanation:
Help jwhsiwoeodjdjdjiejf
Help my cousin
Answer:
I. 1) 32124, 32456, 32532, 32934, 32983
2) 62279, 62312, 62345, 62387, 62398
3) 89123, 90246, 89345, 89534, 89923
4) 19087, 19216, 19312, 19432, 19910
5) 31821, 31839, 31861, 31876, 31890
II. 1) 58240, 58204, 58042, 58024
2) 10908, 10809, 10098, 10089
3) 85703, 85370, 85307, 85073
4) 98705, 98570, 98507, 98057
5) 41810, 41108, 41081, 41018
Step-by-step explanation:
What’s the answer to 4x(x+3) < -24
The answer to the inequality is expressed as x< 1 and x< -4
What are inequalities?Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.
Given the inequality;
4x (x+3) < -24
First, expand the bracket
4x² + 12x < - 24
Let's turn to quadratic inequality
4x² + 12x - 24 < 0
Factorize further
4 ( x² + 3x - 4) < 0
4 ( x² + 4x - x - 4) < 0
4 ( x(x + 4) - 1 (x + 4) ) < 0
4(x - 1) ( x + 4) < 0
expand the bracket
4x - 4 < 0
x < 1
And
4x + 16 < 0
x < -4
Thus, the answer to the inequality is expressed as x< 1 and x< -4
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find the slope of the line through the given points: (-3,4) and (2,-4) leave answer as a fraction. slope=
Step-by-step explanation:
it is always the same. the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
the direction itself does not matter, but it is important to use the same direction for the x and the y comparison.
I prefer to go from left to right, so let's go from
(-3, 4) to (2, -4).
x changes by +5 (from -3 to 2).
y changes by -8 (from 4 to -4).
the slope is
-8/+5 = -8/5
For the function f(x) = -(x + 1)² + 4, identify the vertex, domain, and range.
Answer:
Vertex: (-1, 4)
Domain: All Real Numbers
Range: y < or equal to 4
Step-by-step explanation:
Vertex: Using my calculator, i determined the vertex. The vertex is the most bottom/top point of the parabola, depending on if it opens down or up.
Domain: All the answers have all real numbers so its obvious.
Range: the parabola opens down at (-1, 4), so all the numbers on the y axis below 4 fit in with the line
In a class of 36 students for every four students who could only speak one language, five students could speak more than one language. How many students in the class can speak more than one language?
7 students in the class can speak more than one language.
Given that,
Total student = 36
For every four students who could only speak one language
For every five students who could only speak one language.
To determine how many students in the class can speak more than one language.
Since,
For every five students who could only speak one language,
= 36 / 5
quotient = 7 ; remainder = 1
Implies that, 7 students in the class can speak more than one language.
Thus, 7 students in the class can speak more than one language.
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Find the product of √6 x √12
pls help for brianlest
The product of √6 and √12 is option b 6√2.
Given,
Two square roots : √6 and √12
We have to find the product of these square roots:
That is,
√6 × √12
Multiplying square roots:
Multiply the two numbers as usual without considering the square root.After multiplying consider the square root of the product.It will be the product of the square roots.So here,
Multiply the numbers,
√6 × √12 = 6 × 12 = 72
Now consider the square root of 72
√72 = √36 × √2 = 6√2
That is, the product of the square roots √6 and √12 is 6√2
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what is the sum of 5x and 9x
Answer:
14x
Step-by-step explanation:
We just add the bases because they have the same variable terms, (they are like terms)
9 + 5 = 14
14x
Pls help, and answer both questions I will try to give you brainly.
Answer: J(2,2) K(1,-1) thats all I got
Step-by-step explanation:
I’m not really sure what to do
PLEASE HELP WILL MARK WHAT IS 25-29
i don't Know how to solve this please help
Answer:
f(0) = 0
f(-2) = 0
f(5) = 15
f(-10) = 16
Step-by-step explanation:
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
[tex]f(x)=\begin{cases} \begin{aligned}-2x-4 & \;\;\textsf {if }\;x < 0\\3x & \;\;\textsf {if }\;x\geq 0\\\end{aligned}\end{cases}[/tex]
Therefore, the function has two definitions:
[tex]\textsf{$f(x)=-2x-4$ when $x$ is less than zero}.[/tex][tex]\textsf{$f(x)=3x$ when $x$ is more than or equal to zero}.[/tex]When graphing piecewise functions:
Use an open circle where the value of x is not included in the interval.Use a closed circle where the value of x is included in the interval.Use an arrow to show that the function continues indefinitely.First piece of the function
Substitute zero into the first function:
[tex]\implies f(0)=-2(0)-4=-4[/tex]
Place an open circle at point (0, -4).
To help graph the line, find another point on the line by inputting another value of x that is less than zero into the same function:
[tex]\implies f(-2)=-2(-2)-4=0[/tex]
Place point (-2, 0) and draw a straight line from the open circle at (0, -4) through (-2, 0). Add an arrow at the other endpoint to show it continues indefinitely as x → -∞.
Second piece of the function
Substitute zero into the second function:
[tex]\implies f(0)=3(0)=0[/tex]
Place an closed circle at point (0, 0).
Again, to help graph the line, find another point on the line by inputting another value of x that is more than zero into the same function:
[tex]\implies f(2)=3(2)=6[/tex]
Place point (2, 6) and draw a straight line from the closed circle at (0, 0) through (2, 6). Add an arrow at the other endpoint to show it continues indefinitely as x → ∞.
See attached for graph.
To find the given functions, decide which function to use based on the given value of x, then solve.
f(0) means to find the value of the function when x = 0.
Therefore, input x = 0 into the second function as x ≥ 0.
[tex]\implies f(0)=3(0)=0[/tex]
f(-2) means to find the value of the function when x = -2.
Therefore, input x = -2 into the first function as x < 0.
[tex]\implies f(-2)=-2(-2)-4=0[/tex]
f(5) means to find the value of the function when x = 5.
Therefore, input x = 5 into the second function as x ≥ 0.
[tex]\implies f(5)=3(5)=15[/tex]
f(-10) means to find the value of the function when x = -10.
Therefore, input x = -10 into the first function as x < 0.
[tex]\implies f(-10)=-2(-10)-4=16[/tex]
Find the surface area of the figure.
6 in.
6 in.
6 in.
SA = [?]in.²
Hint: Area of Triangle = b•h
1. Jenny went bowling. She paid $2.75 to rent bowling shoes and she paid $4.25 for each game. If Jenny paid a total of $24, how many games did she bowl?
2. Mark and Gary had a basketball game Saturday. Mark had three times as many rebounds as Gary. If together they had 28 rebounds, how many rebounds did Gary have?
3. If the length of a rectangle is four less than twice its width and the perimeter is 220 inches, what is the width of the rectangle?
4. Mark and Gary had a basketball game Saturday. Mark had three times as many rebounds as Gary. If together they had 28 rebounds, how many rebounds did Mark have?
5. Tony spent a total of 140 minutes studying for his Algebra test. This total was 5 more than 3 times the amount of minutes he spent studying for his Biology test. How many minutes did Tony spend studying for his Biology test?
6. If the length of a rectangle is four less than twice its width and the perimeter is 220 inches, what is the length of the rectangle?
Group of answer choices
7. A transportation company charges a fee of $125 plus $50 per hour to rent a limousine. If John paid $425 for a limousine, for how many hours did he rent the limousine?
8. The sum of two numbers is 37. One of the numbers is 15 more than the other number. What are the two numbers?
9. Debra is 7 years younger than Pamela. In 6 years, Pamela will be twice as old as Debra. How old is Pamela now?
10. Debra is 7 years younger than Pamela. In 6 years, Pamela will be twice as old as Debra. How old is Debra now?
(Easy way to gain points)
Please show your work :)
Using equations, the solutions for the problems are given as follows:
1. She played 5 games.
2. Gary had 7 rebounds.
3. The width of the rectangle is of 38 inches.
4. Mark had 21 rebounds.
5. Tony spent 45 minutes studying for his Biology test.
6. The length of the rectangle is of 72 inches.
7. He rented the limousine for 6 hours.
8. The two numbers are 11 and 26.
9. Pamela is 8 years old.
10. Debra is 1 year old now.
What is the solution for item 1?The situation is modeled by the following linear function:
P(n) = 2.75 + 4.25n.
We have that P(n) = 24, hence we have to solve for n.
24 = 2.75 + 4.25n.
n = (24 - 2.75)/4.25
n = 5.
She played 5 games.
What is the solution for item 2?The situation is modeled by the following system of equations:
x = 3y.x + y = 28.Hence:
3y + y = 28
4y = 28
y = 7.
Gary had 7 rebounds.
What is the solution for item 3?Considering the equations for the perimeter of the triangle, and the situation described, we have that:
l = 2w - 4.2(l + w) = 220.Hence:
2(2w - 4 + w) = 220
2(3w - 4) = 220
3w - 4 = 110
3w = 114
w = 114/3
w = 38.
The width of the rectangle is of 38 inches.
What is the solution for item 4?Solution x for item 2, hence:
x = 3y = 3 x 7 = 21.
Mark had 21 rebounds.
What is the solution for item 5?This situation is modeled by the following equation:
3x + 5 = 140
3x = 135
x = 135/3
x = 45.
Tony spent 45 minutes studying for his Biology test.
What is the solution for item 6?This is the solution for l of item 3, hence:
l = 2w - 4 = 2 x 38 - 4 = 72.
The length of the rectangle is of 72 inches.
What is the solution for item 7?The situation is modeled by the following equation:
P(x) = 125 + 50x.
We have that P(x) = 425, hence we solve for x as follows:
425 = 125 + 50x
50x = 300
x = 300/50
x = 6.
He rented the limousine for 6 hours.
What is the solution for item 8?The situation is modeled by the following system:
x + y = 37.x = 15 + y.Hence:
15 + y + y = 37
2y = 22
y = 11.
x = 15 + 11 = 26.
The two numbers are 11 and 26.
What is the solution for item 9?The situation is modeled by the following system:
y = x - 7.x + 6 = 2(y + 6).Hence:
x + 6 = 2(x - 7 + 6)
x + 6 = 2(x - 1)
x + 6 = 2x - 2
x = 8.
Pamela is 8 years old.
What is the solution for item 10?This is the solution for y of the previous item, hence:
y = x - 7 = 8 - 7 = 1.
Debra is 1 year old now.
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For Brianna's lemonade recipe, 2 lemons are required to make 4 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Using a proportional relationship, it is found that:
1 lemon is required for 2 cups.6 cups are required for 3 lemons.The graph for this relationship is given at the end of the answer.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that the variables are:
x: number of lemons.y: number of cups.Hence the proportional relationship between these two variables is given by:
y = 2x.
Then:
1 lemon is required for 2 cups. (y = 2, then x = 1).6 cups are required for 3 lemons. (x = 3, then y = 6).The linear graph of the relationship, considering the given points, is given at the end of the answer.
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The answersssssssssss
Answer:
pic 1 goes first second pic second slot
Step-by-step explanation:
THERE ARE 2 DECKS OF PLAYING CARDS
Answer:
100 cards?
Step-by-step explanation:
m∠K=(6x+12)°. Find the measure of the complement of ∠K.
A. (102 + 6x)°
B. (112 + 6x)°
C. (67 − 6x)°
D. (78 − 6x)°
The measure of the complement of angle K is (78 - 6x)°. The correct option is D. (78 − 6x)°
Complement of an AngleFrom the question, we are to determine the complement of the given angle measure
From the given information, the measure of angle K (m ∠K) is (6x + 12)°
NOTE: If two angles are complementary, the measures of the angles sum up to 90°
Let the complement of angle K be angle L.
Thus,
∠K + ∠L = 90°
(6x + 12)° + ∠L = 90°
6x° + 12° + ∠L = 90°
∠L = 90° - 12° - 6x°
∠L = 78° - 6x°
∠L = (78 - 6x)°
Hence, the measure of the complement of angle K is (78 - 6x)°. The correct option is D. (78 − 6x)°
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The table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002 2003 2004 2005 2006 sales 222 276 318 348 366 372 366 348 318 What was the average rate of change of annual sales a) Between 2003 and 2004 millions of dollars/year b) Between 2003 and 2006 millions of dollars/year
Using it's concept, the average rate of change is given as follows for the intervals:
a) -6 millions of dollars per year.
b) -18 millions of dollars per year.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
For item a, we have that:
In 2003, the amount is of 372 million sales.In 2004, the amount is of 366 million sales.Hence:
r = (366 - 372)/1 = -6 millions of dollars per year.
For item b, we have that:
In 2003, the amount is of 372 million sales.In 2006, the amount is of 318 million sales.Hence:
r = (318 - 372)/3 = -18 millions of dollars per year.
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34. THOUGHT PROVOKING
A runner's times (in minutes) in the four races
he has completed are 25.5, 24.3, 24.8, and 23.5.
The runner plans to run at least two more races
and wants to have an average time of less
than 24 minutes. Write and solve an inequality
to show how the runner can achieve his goal.
Answer:
Step-by-step explanation: I'm not sure it's an interesting question I hope you figure it out soon(:
Answer: x<45.9?
Step-by-step explanation:
25.5+24.3+24.8+23.5=98.1
So (x+98.1)/6<24?
x<45.9?
20pts. Please help ASAP!
Answer:
given
Step-by-step explanation:
When doing a two-column proof, you usually begin with what you are given.
What is the distance between points F and G? number line from negative 10 to 14. point f is at negative 6. point g is at 12.
18 units is the distance between points F and G.
Assume a line with points marked on it.
Center is 0.
Left to the point 0 indicates negative numbers.
Right to the point 0 indicates positive numbers.
Given,
A number line is marked with negative 10 to positive 14.
Point F is placed at negative 6.
Point G is placed at positive 12.
We have to determine the distance between points F and G.
We can consider the number line.
From 0 to negative 10 there were 10 units.
From 0 to positive 14 there were 14 units.
Now points F and G,
From 0 to negative 6 there were 6 units.
From 0 to positive 12 there were 12 units.
We can add this together:
That is,
6 units + 12 units = 18 units.
Therefore, the distance between points F and G is 18 units.
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