A car bought for $13,000 depreciates at a rate of 15% per year. Use an exponential function to find the value of the car after 5 years. show work plz i will give you crown

$ 11093

Explanation:

Recall that the formula for compound interest is:

A = P ( 1 + r/ n ) n ( t )  

−−−−−−−−−−−−−−−−−−−−−−  

where:

A =  future value

P  =  principal (starting) amount

r  =  annual interest rate, expressed as a decimal

n  =  number of times the interest is compounded in a year

t  =  number of years compound interest occurs for

1 . Start by substituting your known values into the formula. Note that the annual interest rate is  − 0.15  since the car depreciates (becomes lower in value) each year.

A = 25000 ( 1 + − 0.15 1 ) 1 ( 5 )  

2 . Solve for  A .

A = 25000 ( 0.85 ) )5

A = 11092.63

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

A ≈ $ 11093 a    

−−−−−−−−−−−−−−−

Answer is $5,768.17

Step-by-step explanation:

Equation is as follows:

13,000(1-0.15)^5  =

13000(0.85)^5 = 13000x0.44370531  = 5,768.17 (rounds up)

.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.