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3 years ago

Evaluate the expression (1/5) to the 3rd power

Mathematics

2 answers:

muminat3 years ago

8 0

That answer is 0.008 as a decimal or 1/125 as a fraction or 0.8% as a percentage

slamgirl [31]3 years ago

6 0

Answer:

1/125

Step-by-step explanation:

(1/5) ^3

1/5 *1/5 *1/5

1/125

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Which of the following expressions is equivalent to (8x)^2/3 ?

miv72 [106K]

Answer:

Step-by-step explanation:

Given the expression (8x)^2/3

This can also be expressed as;

(8x)^2/3

= (2^3x)^2/3

= (2³)^2/3 * x^2/3

= 2^2 * x^2/3

= 4x^2/3

Hence the equivalent expression is 4x^2/3

5 0

3 years ago

Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

$D=\frac{1-0.00903}{0.04}$

$D=\frac{0.9909}{0.04}$

$D=24.7725$

$M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{40000}{24.7725}$

$M=1614.69$

Half of the monthly payment is $807.345

Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0

3 years ago

Read 2 more answers

. Express each exponent in expanded form: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6

vovangra [49]

Answer:

The exponent of the simplified power is 3

Step-by-step explanation:

Given:

6 × 6 × 6 × 6 × 6 × 6 × 6 / 6 × 6 × 6 × 6

Dividing common factors ( cancel out 4 6's in the Numerator and Denominator

= 6 × 6 × 6 / 1

= 6^3 /1

= 6^3

The exponent of the simplified power is 3

3 0

3 years ago

Craig has 6 bags of candy that weigh pound each. Wendy has 5 bags of candy that weigh pound each.

I am Lyosha [343]

Craig has 1 pound of more candy than Wendy does because if each bag is one pound, and if Craig has 6 bags, and Wendy has 5, then it’ll be 6-5=1.

4 0

3 years ago

A store purchased a sweater for $40 and then marks the price up 75% before selling it. What is the price of the sweater in store

Maslowich

Hey You!

40 * 75% = 30

40 + 30 = 70

The price is $70.

7 0

3 years ago