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Rzqust [24]
2 years ago
9

Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a s

imple interest
Mathematics
1 answer:
Helga [31]2 years ago
6 0
6 years
£20,000 x 0.045 = £900
£5,400 / £900 = 6 years
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Q#1:The volume of a cube is 46656 cubic metres.Find the length of each side?
Lady_Fox [76]

Answer:

Step-by-step explanation:

1) To find the cube root of a number prime factorize

46656 = 2*2*2*2*2*2 * 3 * 3 * 3 * 3 * 3 * 3

\sqrt[3]{46656}=\sqrt[3]{2*2*2*2*2*2*3*3*3*3*3*3}  =2*2*3*3 = 36

Length of each side = 36 m

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v) -17576 = (-26) * (-26)*(-26)

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3 0
2 years ago
The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking
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2 years ago
The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random vari
Monica [59]

Answer:

The latest 2.5% of bills will be received in 20 more days after mail-out.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 31 days

Standard Deviation, σ = 6 days

We are given that the distribution of The number of days (X) is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X \leq x) = 0.025

We have to find the value of x such that the probability is 0.025

P(X \leq x) = 0.025

P( X \leq x) = P( z \leq \displaystyle\frac{x - 31}{6})=0.025  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.960) = 0.025

\displaystyle\frac{x - 31}{6} = -1.960\\x = 19.24 \approx 20  

Hence, the latest 2.5% of bills will be received in 20 more days after mail-out.

4 0
2 years ago
What are the solution(s) to the quadratic equation 9x2 = 4?
Kaylis [27]

Answer:

Option B.

Step-by-step explanation:

The given quadratic equation is

9x^2=4

We need to find the solution of given quadratic equation.

Divide both sides by 9.

\frac{9x^2}{9}=\frac{4}{9}

x^2=\frac{4}{9}

Taking square root on both sides.

x=\pm\sqrt{\frac{4}{9}}

x=\pm\frac{2}{3}

The solution of given equation are x=\frac{2}{3} and x=-\frac{2}{3}.

Therefore, the correct option is B.

6 0
2 years ago
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A group of 6 men and 6 women is randomly divided into 2 groups of size 6 each. What is the probability that both groups will hav
Gnom [1K]

Answer:

0. 4329

Step by step explanation

Since both groups will have the same number of men, we would guarantee each group consists of three women and three men.

So theprobability is (6, 3)·(6, 3)/(12, 6)=100/231.

6 0
2 years ago
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