Kira and her husband are each starting a saving plan. Kira will initially set aside $650 and then add $145 every month to the savings. The amount A (in dollars) saved this way is given by the function A=145N+650, where N is the number of months she has been saving.

Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N.

Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.

Question

Mathematics

Eugene Pruitt

10 February, 02:21

Kira and her husband are each starting a saving plan. Kira will initially set aside $650 and then add $145 every month to the savings. The amount A (in dollars) saved this way is given by the function A=145N+650, where N is the number of months she has been saving.

Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N.

Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.

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Answers (1)

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Peter Beasley · Answer 1

The equation relating T to N is T = 640N + 650

Solution:

Given, Kira and her husband are each starting a saving plan.

Kira will initially set aside $650 and then add $145 every month to the savings.

The amount A (in dollars) saved this way is given by the function A = 145N+650

where N is the number of months she has been saving.

Her husband will not set an initial amount aside but will add $495 to the savings every month.

The amount B (in dollars) by Husband B = 495N

Let T be total amount (in dollars) saved using both plans combined.

Now, we know that,

Total savings = amount save by kira + amount saved by her husband

T = A + B

T = 145N + 650 + 495N

T = 640N + 650

Hence, the equation is T = 640N + 650