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Delicious77 [7]
3 years ago
15

Deshaun and his wife are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the

savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. His wife will not set an initial amount aside but will add $485 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=485N. 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.\
Mathematics
2 answers:
lara [203]3 years ago
5 0

Answer:

The equation that relates T to N is T=750 + 620*N

Step-by-step explanation:

On the one hand, you know that what Deshaun saved is:

A = 750 + 135 * N

where N is the number of months you have been saving

On the other hand, what his wife saves is: B = 485 * N

The total amount saved using both plans combined implies the sum of what was saved by Deshaun and his wife. So:

T=A + B

Then:

T=750 + 135*N + 485*N

T=750 + 620*N

<u><em>The equation that relates T to N is T=750 + 620*N</em></u>

Bumek [7]3 years ago
3 0
If A=750+135N; and B=485N, then A+B=
750+135N+485N=750+620N
T=620N+750
☺☺☺☺
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Step-by-step explanation:

Let the intial cost = x

100\% + 36\% = 136\% = 1.36

1.36x = 333200

x =  \frac{333200}{1.36}

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3 years ago
You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
gayaneshka [121]
<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

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

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

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

The monthly payment formula is

P = (L*i)/( 1-(1+i)^(-n) )

where,

  • P = monthly payment
  • L = amount loaned
  • i = interest rate per month in decimal form
  • n = number of months

In this case,

  • L = 585,000 dollars
  • i = 0.0525/12 = 0.004375 exactly
  • n = 15*12 = 180 months (equivalent to 15 years)

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (585000*0.004375)/( 1-(1+0.004375)^(-180) )

P = 4702.6846353538

P = 4702.68

The monthly payment is $4,702.68

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

Let's now compute the total amount paid back (principal + interest)

If you pay 4,702.68 dollars per month over the course of 180 months, then you pay back a total of 4702.68*180 = 846,482.40

The total payments add up to 846,482.40 dollars.

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

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

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