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3 years ago

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Mathematics

1 answer:

lesya692 [45]3 years ago

7 0

Answer:

the third one is the correct answer

Step-by-step explanation:

hope that helps

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The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made a

Sergio039 [100]

Answer:

$38,562.5

Step-by-step explanation

Using the compound interest formula

A = P(1+r/n)^nt

P is the principal = $125,000

r is the rate = 6% = 0.06

time t = 5years

n = 0.25 (quarterly payment)

Substitute

A = 125000(1+0.06/0.25)^5(0.25)

A = 125000(1+ 0.24)^1.25

A = 125000(1.24)^1.25

A = 125000(1.3085)

A = 163,562.5

Hence the interest earned = 163,562.5 - 125000

interest earned = $38,562.5

3 0

2 years ago

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript one-fourth x?

Nat2105 [25]

<h3>Answer: Choice C</h3>

RootIndex 12 StartRoot 8 EndRoot Superscript x

12th root of 8^x = (12th root of 8)^x

$\sqrt[12]{8^{x}} = \left(\sqrt[12]{8}\right)^{x}$

=========================================

Explanation:

The general rule is

$\sqrt[n]{x} = x^{1/n}$

so any nth root is the same as having a fractional exponent 1/n.

Using that rule we can say the cube root of 8 is equivalent to 8^(1/3)

$\sqrt[3]{8} = 8^{1/3}$

-----

Raising this to the power of (1/4)x will have us multiply the exponents of 1/3 and (1/4)x like so

(1/3)*(1/4)x = (1/12)x

In other words,

$\left(8^{1/3}\right)^{(1/4)x} = 8^{(1/3)*(1/4)x}$

$\left(8^{1/3}\right)^{(1/4)x} = 8^{(1/12)x}$

-----

From here, we rewrite the fractional exponent 1/12 as a 12th root. which leads us to this

$8^{(1/12)x} = \sqrt[12]{8^{x}}$

$8^{(1/12)x} = \left(\sqrt[12]{8}\right)^{x}$

4 0

3 years ago

Read 2 more answers

a random sample of high school seniors were asked whether they were applying for college. the resulting confidence interval for

Artist 52 [7]

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

To learn more about margin of error link is here

brainly.com/question/10501147

#SPJ4

3 0

1 year ago

Find the area of a regular hexagon with the given measurement of 48 inch perimeter

kozerog [31]

Answer:

A≈166.28in²

Step-by-step explanation:

Plz name me the brainliest

5 0

3 years ago

14x+6=2 (5+7x) <br> Please solve with work

liraira [26]

Answer:

-6

Step-by-step explanation:

14x+6=2(5+7x)

14x+6=10+14x

14x-14x=10-16

x= -6

3 0

3 years ago