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Eduardwww [97]
3 years ago
7

Use completing the square to solve for x in the equation (x+7)(x-9) = 25.

Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

(x - 1)² - 89 = 0

Solving for x:

(x - 1)² = 89

x - 1 = ±√89

x = 1  ±√89

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Desmond deposits $50 into a savings account every month at an annual interest rate of
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Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

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To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

A = P(1+\frac{r}{(n)(100)} )^{nt}

where,

A be the final amount

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r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

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Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}

or, A = 600(1.0039)^{120}

or, A = 959.1

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = (\frac{359.1}{600} )(100) %

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

7 0
2 years ago
You survey 50 people and 44 say​ "yes." What fraction of the people say​ "yes?" What percent of the people say​ "yes?"
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Step-by-step explanation:

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3 years ago
BRAINLIEST AND MAX PTS<br><br> CONVERT y = 40x + 600 to point-slope form
IRISSAK [1]

Answer:

The answer to your question is y - 0 = 40(x - 15)

Step-by-step explanation:

                                  y = 40x + 600

Convert to                 y - y₁ = m(x - x₁)          

Process

1.- Factor 40 in the right side of the equation

                                 y = 40(x - 15)

2.- Give the form of the point slope form

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where

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m = 40

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3 years ago
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