question archive 1) Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions

1) Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions

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1) Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes.

 

One company buys a new bulldozer for $120800. The company depreciates the bulldozer linearly over its useful life of 25 years. Its salvage value at the end of 25 years is $17050.

 

A)  Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. __________________________.   

 

B)  The value of the bulldozer after 7 years is $___________________.

 

2)

A) Moving truck rental company charges $19.95 to rent a truck, plus $0.62 per mile. Suppose the function C(d) gives the total cost of renting the truck for one day if you drive 47 miles.

Give the formula for C(d). Make sure to give the complete formula as an equation.   

Give the total rental cost if you drive the truck 47 miles. 

Give the function notation ________.

Then give the answer _______________, 

Then give the correct units ___________. (Miles or Dollars)
 

B) Suppose you have $125 budgeted to move. What is the furthest distance you can drive the truck? 

Round your answer to the nearest whole number __________________.

Choose the correct units_______________.

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1.

A)

 V(t)=−4150.t+120800

B)

$ 91750

 

 

2.

A)

C(d)=0.62xd+19.95

 

49.09 Dollars

 

B)

169 miles

 

Step-by-step explanation

1.Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $120800. The company depreciates the bulldozer linearly over its useful life of 25 years. Its salvage value at the end of 25 years is $17050. AValve 120 800 The function we need to find is a linear function which is fl x ) = m. x tn 170 50 7 Time Slope y intercept 25 Slope = - 120 800 - 17050 = - 4150 y intercept = 120800 25 v (+ ) = - 4150. t + 120800 A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. V(+) = - 4150. t + 120800 B) The value of the bulldozer after 7 years is $_ V ( 7 ) - - 4150. 7 + 120800 = 91750

2. A) Moving truck rental company charges $19.95 to rent a truck, plus $0.62 per mile. Suppose the function C(d) gives the total cost of renting the truck for one day if you drive 47 miles. Give the formula for C(d). Make sure to give the complete formula as an equation. Give the total rental cost if you drive the truck 47 miles. c(d) = 0.62xd + 19.95 Cost of 47 miles - ( ( 47 ) = 0.62 x 47+ 19.95 = 49.09 Give the function notation C(d) = 0.62 x d + 19.95 Then give the answer _ 49.09 Then give the correct units Dollar S_. (Miles or Dollars) B) Suppose you have $125 budgeted to move. What is the furthest distance you can drive the truck? Round your answer to the nearest whole number 169 Choose the correct units_miles ( ld ) = 0. 62 x d + 19.95 = 125 d = 169.4 = 169