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denis-greek [22]
2 years ago
11

If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the acc

ount every two months for the next 6 years?
Mathematics
1 answer:
pogonyaev2 years ago
7 0

The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

A = P ( 1 + \frac{r}{n} )^n^t

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = 25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6

A = 25, 000(1 + 0. 75)^1^2

A = 25, 000( 825. 00)

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

Learn more about compound interest here:

brainly.com/question/2455673

#SPJ1

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enyata [817]

Answer:

<em>Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.</em>

<em />

<em>a) The volume of a cylinder is the area of the base * height</em>

<em />

<em>For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.</em>

<em />

<em>The area of the base is π (d/2)^2 = π (2 in)^2  =  4π in^2.</em>

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<em>The volume of the cuo is 4π in^2 * 8 in = 32π in^3.</em>

<em />

<em>Then the number of cups to take the volume of [2000 / 3] π in^2 is:</em>

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<em>[2000 / 3]π / [32π] = 20.83</em>

<em />

<em>Answer: 21 cups.</em>

<em />

<em>b) For this part the diameter of the cup is 8 in and the height is 8 in</em>

<em />

<em>Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3</em>

<em />

<em>And the number of cups needed is [2000π/3] / (128π) = 5.2 </em>

<em />

<em>Answer: 5 cups. </em><em>Good Luck!</em>

<em>From ~Itsbrazts~.</em>

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8 0
3 years ago
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lin drew a triangle and a dilation of a triangle with scale factor 1/2. what is the center of the dilation?
mylen [45]
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4 0
3 years ago
The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if
Nitella [24]

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = {x}^{2}  + 3x - 6x - 18

Lets factorise the polynomial

=  >  x(x + 3) - 6(x + 3)

=  > (x  + 3)(x - 6)

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = x + 3 = 12 + 3 = 15

Width = x - 6 = 12 - 6 = 6

Area = Length × Width = 15 × 6 = 90

5 0
3 years ago
A cake weighs 225g and is shared equally between five people. what weight of cake does each person receive?
cluponka [151]

Step-by-step explanation:

\frac{225g}{5}  = 45

which means each person receive 45g cake

8 0
3 years ago
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak
Alona [7]

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

68 defective out of 400:

This means that p = \frac{68}{400} = 0.17

From the shipment you take a random sample of 25.

This means that n = 25

Standard deviation for the number of defective parts in the sample:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88

The standard deviation for the number of defective parts in the sample is 1.88.

6 0
3 years ago
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