write the exponential equation given a starting value of 7.5 and a decay rate of 7.5%

Answers

Answer 1

Answer:

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Step-by-step explanation:


Related Questions

what is the value of y in the triangle?

Answers

Answer:

y = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since sinθ = opp/hypoteneuse,

sin60 = y/6

y = sin60° * 6

= [tex]\frac{\sqrt{3} }{2}[/tex] * 6

≈ 3[tex]\sqrt{3}[/tex]

Hence, y = 3[tex]\sqrt{3}[/tex]

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Graph y= –3x+4.

i need a pic
5o points and brain thing

Answers

Refer to the attachment

A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.



is the x–axis label.


is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.

The ordered pair
is found in the scatterplot.

Answers

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Step-by-step explanation:

I'm late but hope this helps

Solve the inequality.
-12 < 1/2(x+16) < 18

Answers

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

complete the table to summarize what you know about each rocket.

Answers

need more information. need to see the table

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2

a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)

Answers

Hi

The answer is C. (2, 3).

A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place. ​

Answers

Answer:

Density (ρ) = 20000 kilogram/cubic meter

Step-by-step explanation:

Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.

Answers

Answer:

discount = price times % off

discount = 22.50 x 0.20

discount = $4.50

Step-by-step explanation:

What is the P(Red Diamond Face Card) and the P (Black Face Card) ​

Answers

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?

Answers

Answer:

they usually cost nothing if you go through your bank

find the total cost 35$ with 50% discount

Answers

Answer:

The total cost will then be $17.5

Answer:

17.5 dollars

Step-by-step explanation:

Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5

Pls anyone know this

Answers

He can make
526
562
265
256
652
625
Answer:
256
265
526
562
625
652

I think that’s it. Hope this helps

Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)

Answers

Answer:

[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]

→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]

[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]

[tex]\sf m=-\cfrac{7}{5}[/tex]

_________________________

the answer to this problem is - 7/5

What is the equation of the line in the slope-intercept form?

Answers

Answer:

y = [5/2]x + [5]

Step-by-step explanation:

y= mx+b

m=rise/run

m=5/2

b=y intercept

b=5

y = 5/2x + 5

Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z

Answers

6x, 6y, and 6z are not like terms because they do not have all of the same variables.

The picture is my question, tap on it to see it better please answer it.

Answers

Answer:

When x= 4, then f(x)= 13.

When x= g(x), then f(x)=g

When x= -3, then f(x)= -1

When x= -15(x), then f(x)= -15

the quotient of 8 and y

Answers

Answer:

"The quotient of 8 and y" is written as the following algebraic expression:

8÷y

helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

a) = 4.198

b) = 4.146

Step-by-step explanation:

a) 15.444/6+0.232*7

do pemdas

=15.444/6+(0.232*7)

=(15.444/6)+1.624

=2.574+1.624

a) = 4.198

b) (1.709+0.364)*6/3

pemdas again

=(2.073) *6 / 3

=12.438 / 3

b) =4.146

Hope this helps :)

Answer:

A 4.198 and b is 2.073

Step-by-step explanation:

i hope this is right

Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Domingo earns 715$ in the week that is his gross income

Helppp ppleasee ??!!

Answers

Answer:

[tex](m^{4} + 5) - n^{3}[/tex] = 85

Step-by-step explanation:

[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4

Substitute the given values into the polynomial expression:

[tex](m^{4} + 5) - n^{3}[/tex]

[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]

= (16 + 5) - (-64)

= 21 + 64

= 85

Therefore, the correct answer is 85.

Answer: 85

Step-by-step explanation:

(m^4+5)-n^3

(-2^4+5)-(-4)^3

(16 + 5)-(-64)

21 + 64 = 85

Plzzzz I need Helpppp!!!​

Answers

Answer:

(8x+15)=(7x+17){ being alternative angle}

8x+15=7x+17

8x-7x=17-15

x=2

here,

8x+15= 8×2+15

16+15=31

7x+17

7×2+17

14+17

31

again

(8x+15)+y=180°( being straight angle)

31+y=180

y=180-31

y= 149

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, Angles (8x + 15) and (7x + 17) are equal

because they form pair of Alternate interior angles.

[tex]8x + 15 = 7x + 17[/tex]

[tex]8x - 7x = 17 - 15[/tex]

[tex]x = 2[/tex]

So,

[tex]8x + 15[/tex]

[tex]( 8\times 2) + 15[/tex]

[tex]16 + 15[/tex]

[tex]31 \degree[/tex]

now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°

[tex](8x + 15) + y = 180[/tex]

[tex]31 + y = 180[/tex]

[tex]y = 180 - 31[/tex]

[tex]y = 149 \degree[/tex]

what is the height of the prism?

Answers

Answer:

6m

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

l = 3 m

w = 2 m

Volume = 36 cubic meter

l * w * h = 36

3 * 2 * h = 36

6 * h = 36

      h = 36/6

h = 6 m

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1

Answers

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!

Please help me on this it’s due

Answers

Answer:  5 cakes

================================================

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]

Do the same for the other mixed number 2 & 1/3.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]

-----------------------

From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]

The last step is to convert that result to a mixed number.

[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

-----------------------

Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens

Answers

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99

How do you factor x^2 + 4x - 4?

Answers

Answer:

you cant factor it.

Step-by-step explanation:

How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.

1 There is one solution, because the coefficients of the variables on both sides of the equation are different.

2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.

3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.

4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

I think 2? maybe 1.

Step-by-step explanation:

because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0

Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de

Answers

Answer:

Step-by-step explanation:

Evaluate the following real numbers:

1. l5l + l4l
2. 0.4 ÷ 10
3. ¼ + ⅔
4. 3 × 1 ½
5. ⅓ - ¼
6. (⅜) (8/5)
7. ⅖ + ⅗
8. -1 + (-1) + [-(9+4)]
9. the value of x + y if x = 4 and y = 6
10. 9² + 3³

Answers

Answer:

Q.1 Answer is 9

Q.2 Answer is 0.04

Q.3 Answer is 11/12

Q.4 Answer is 3/2

Q.5 Answer is 1/12

Q.6 Answer is 3/5

Q.7 Answer is 1

Q.8 Answer is -15

Q.9 Answer is 10

Q.10 Answer is 108

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