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Bezzdna [24]
2 years ago
10

Solve (x - 3)^2 = 5 p please help

Mathematics
2 answers:
wel2 years ago
3 0

Hello!

Let's solve !

⇒ (x - 3)² = 5

⇒ x² - 6x + 9 = 5

⇒ x² - 6x + 4 = 0

⇒ x = -(-6) ± √36 - 4(1)(4) / 2

⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2

⇒ x = 3 ± √5

∴ The solutions are x = 3 + √5 and x = 3 - √5.

Rzqust [24]2 years ago
3 0

Answer:

p=(x−3)25

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     (x-3)^2-(5*p)=0 

STEP1:

 1.1    Evaluate :  (x-3)2   =  x2-6x+9 

Equation at the end of step1:

x2 - 6x - 5p + 9 = 0

STEP2:

Solving a Single Variable Equation:

 2.1     Solve   x2-6x-5p+9  = 0

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$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years
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\$13,107.96

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}

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3 years ago
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Jason wants to receive monthly payments of $3,250 for 15 years. How much does he have to invest now in an annuity that has an an
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The amount she should invest today in the annuity is $455,450.40.

<h3>How much should be invested today?</h3>

The first step is to determine the future value of the monthly annuity.

Future value = monthly payment x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

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(lmk if this isnt right)

Step-by-step explanation:

To find the perimeter of the rectangle:

3+3+3+3+3+3=18

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3(6)=18

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12-(3+3)

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Add the perimeter of the rectangle and the circumference of the circle.

18+18.84=36.84

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2 years ago
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