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3 years ago

If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?

Mathematics

2 answers:

balandron [24]3 years ago

5 0

Answer:

Step-by-step explanation:

2,500/50=50

50x50=2,500

8090 [49]3 years ago

4 0

Answer:

50 ft

Step-by-step explanation:

The area of a rectangle = width × depth

area = 2,500 ft²

width = 50 ft

Substitute the values into the formula:

2,500 = 50 × depth

Divide both sides by 50 to find the depth:

2500 ÷ 50 = depth

depth = 50 ft

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For which value(s) of x will the rational expression below be undefined? Check all that apply.

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Answer:

For x = -7 the rational expression is undefined

Solution:

Given rational expression is:

$\dfrac{(x-3)(x+6)}{(x+7)}$

We have to find the value of x for which the rational expression becomes undefined

A rational expression is undefined when the denominator is equal to zero

Here, the denominator becomes zero when x = -7

Substitute x = -7 in given

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3 years ago

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3 years ago

Scor Question Help 4.D.49 You can afford monthly payments of $500. If current mortgage rates are 2.83% for a 15-year fixed rate

lakkis [162]

Answer:

No down payment = $73 267; 10 % down payment = $81 408

Step-by-step explanation:

1. With no down payment

The formula for a maximum affordable loan (A) is

A = (P/i)[1 − (1 + i)^-N]

where

P = the amount of each equal payment

i = the interest rate per period

N = the total number of payments

Data:

P = 500

APR = 2.83 % = 0.0283

t = 15 yr

Calculations:

You are making monthly payments, so

i = 0.0283/12 = 0.002 358 333

The term of the loan is 15 yr, so

N = 15 × 12 = 180

A = (500/0.002 3583)[1 − (1 + 0.002 3583)^-180]

= 212 014(1 - 1.002 3583^-180)

= 212 014(1 - 0.654 424)

= 212 014 × 0.345 576

= 73 267

You can afford to spend $73 267 on a home.

2. With a 10 % down payment

Without down payment, loan = 73 267

With 10 % down payment, you pay 0.90 × new loan

0.90 × new loan = 73 267

New loan = 73267/0.90 = 81 408

With a 10 % down payment, you can afford to borrow $81 408 .

Here’s how it works:

Purchase price = $81 408

Less 10 % down = -8 141

Loan = $73 267

And that's just what you can afford.

8 0

4 years ago