You are considering two cars that you plan on keeping for 5 years. One has an EPA combined city and highway rating of 33 mpg. The second has an EPA rating of 36 mpg. Suppose gasoline costs $3.41 per gallon and you drive 10,000 miles each year.

(a) How much (in dollars) will you save in 1 year by purchasing the 36 mpg car? (Enter a number. Round your answer to the nearest cent.)

(b) If you deposit that amount at the end of each year for the 5 years of ownership into an account that earns 4.1% compounded annually, how much (in dollars) will you save over 5 years? (Enter a number. Round your answer to the nearest cent.)

a) $86.11

b) $467.33

Step-by-step explanation:

no. of gallons saved 'n' per year

n = (10000/33) - (10000/36)

n = 2500/99

Amount saved = 3.41×n = 3.41×2500/99

= $86.11

b) over 5 years:

86.11( 1 + (1.041) + (1.041)² + (1.041)³ + (1.041)⁴ )

= 86.11(5.427157431)

= $467.33

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.