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2 years ago

Solve 6x^2 - 42 = 0 for the exact values of x

Mathematics

1 answer:

GREYUIT [131]2 years ago

6 0

Answer:

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

Step-by-step explanation:

we have

$6x^{2}-42=0$

Solve for x

Adds 42 both sides

$6x^{2}-42+42=0+42$

$6x^{2}=42$

Divide by 6 both sides

$6x^{2}/6=42/6$

simplify

$x^2=7$

square root both sides

$x=\pm\sqrt{7}$

therefore

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

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The sphere area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for pi. Round y

julsineya [31]

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

$S=4\pi r^2$

where S is surface area

r is radius

so, firstly we need to find radius or r

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we can solve for r

$r=3.9989cm$

now, we can find volume

$V=\frac{4}{3} \pi r^3$

we can plug r

$V=\frac{4}{3} \pi (3.9989)^3$

now, we can find volume

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3 years ago

You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment

Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, A = 50,000 × $(1+\dfrac{\textrm 7}{100})^{\textrm 20}$

or, A = 50,000 × $(1.07)^{20}$

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ $\frac{193480}{240}$ = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

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3 years ago

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Answer:

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Step-by-step explanation:

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