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Simora [160]
3 years ago
9

5(x-2)^2-29=-14 what does x equal

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

x = 2+\sqrt{3}

Step-by-step explanation:

5(x-2)^2= 15 ←add 29 on both sides

(x-2)^2= 3  ← divide by 5 on both sides

x-2= \sqrt{3}   ← find the sq root of both sides

x= 2+\sqrt{3}   ← add 2 on both sides

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A rectangle has a perimeter of (20x+12y). If one side of the rectangle is (3x-4y), write the expression for the other side
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Answer:

(7x + 10y)

Step-by-step explanation:

To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.

(3x - 4y) + (3x - 4y) = 6x - 8y

Subtract this from (20x + 12y)

(20x + 12y) - (6x - 8y) = 14x + 20y     Divide this by two to get the length of one side

14x + 20y / 2 = 7x + 10y

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HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m
Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}

P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}

P = $25,293.

More can be learned about the monthly payments formula at brainly.com/question/26267630

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