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Anarel [89]
3 years ago
5

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width

Mathematics
1 answer:
Elza [17]3 years ago
4 0

P = perimeter

Perimeter of a rectangle = l + l + w + w

or  P = 2l + 2w

You know:

P = 150 m

l = w + 5     [length is 5 m greater than the width]

P = 2l + 2w        Plug in what you know

150 = 2(w + 5) + 2w     Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10     Subtract 10 to both sides of the equation

140 = 4w       Divide 4 on both sides

35 = w

PROOF               l = w + 5 --->  l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

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3 years ago
What is 2 5/12 - 1 7/12 =
castortr0y [4]

Answer:

Divide: 7/12  : 3/10  = 7/12  · 10/3= 7 · 10  /12 · 3  = 70/36  = 35/18

To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.

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4 0
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.

8 0
2 years ago
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sveta [45]
I think the answer is B.
Hope this helps.

4 0
3 years ago
Read 2 more answers
1/3 + a =5/4 a=<br><br> what does a = i really need help this means a lot to my grade
Katyanochek1 [597]

Answer:

a = 11/12

Step-by-step explanation:

1/3 + a =5/4

Subtract 1/3 from each side

1/3-1/3 + a =5/4-1/3

a = 5/4 -1/3

Get a common denominator of 12

a = 15/12 - 4/12

a = 11/12

4 0
3 years ago
Read 2 more answers
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