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Lubov Fominskaja [6]
2 years ago
11

The area of a rectangle is 259 cm2 and its lenght is 18.5 cm find

Mathematics
1 answer:
crimeas [40]2 years ago
7 0

The breadth of rectangle is 14 cm

The perimeter of rectangle is 65 cm

<em><u>Solution:</u></em>

Given that,

Area of rectangle = 259 square centimeter

Length of rectangle = 18.5 cm

<em><u>The area of rectangle is given by formula:</u></em>

Area\ of\ rectangle = length \times breadth

<h3><u>Find the breadth:</u></h3>

Substitute the given values in above formula:

259 = 18.5 \times breadth\\\\breadth = \frac{259}{18.5}\\\\breadth = 14

Thus breadth is 14 cm

<h3><u>Find the perimeter:</u></h3>

The perimeter of rectangle is given by formula:

Perimeter = 2(length + breadth)

Substitute the given values in above formula:

perimeter = 2(18.5+14)\\\\perimeter = 2(32.5)\\\\perimeter = 65

Thus perimeter of rectangle is 65 cm

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A restaurant manager has the option of a 30-year loan of $417,000 at an annual interest rate of 3.85% or the same interest rate
victus00 [196]

a) The monthly payment for each loan is as follows:

30-year $1,954.93

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b) The savings in interest by using the 15-year loan is <u>$154,189,20</u> ($286,774.20 - $132,585).

c) No. the monthly payment for the 15-year loan is <u>not twice</u> that of the 30-year loan as the loan term.

d) The interest savings for the 15-year loan are <u>more</u> than one-half of the interest paid on the 30-year loan.

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The calculations for the monthly payments, including interests can be carried out using an online finance calculator, as follows:

<h3>30-year Loan:</h3>

N (# of periods) = 360 months (12 x 30 years)

I/Y (Interest per year) = 3.85%

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FV (Future Value) = $0

<u>Results</u>:

PMT = $1,954.93

Sum of all periodic payments = $703,774.80 ($1,954.93 x 360)

Total Interest = $286,774.20 ($703,774.80 - $417,000)

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Total Interest = $132,585 ($549,585 - $417,000)

Learn more about periodic payments at brainly.com/question/13098072

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