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faltersainse [42]
3 years ago
6

Don put $4,000 in a savings account with an interest rate of 4% for three years. If the interest is compounded annually, how muc

h money will he have at the end of the three years?
Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

$4,499.46

Step-by-step explanation:

We can use the compound interest formula for this problem:

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 4% into a decimal:

4% -> \frac{4}{100} -> 0.04

Now lets plug the values into the equation as shown below:

A=4,000(1+\frac{0.04}{1})^{1(3)}

A=4,499.46

Don will have $4,499.46 at the end of the three years.

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Answer:

You use the vertical line test to see if a function is relation is a function

Step-by-step explanation:

A function is a relation with only one output for every input. That means that if the x value and two y values, it is not a function.

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What is the area of the parllelogtam shown below
Umnica [9.8K]
<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

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PLEASE HELP!! Please show your work in explanation no nonsense or blank answers please ;)
krok68 [10]

Answer:

r = 4.908

Step-by-step explanation:

V  = 885

height (given in the picture) = 11.7

V = \pi r^2h

V = (3.14)(r^2)(h)

885 = (3.14)(r^2)(11.7)

885/3.14/11.7 = r^2

Take the square root and you get 4.908.

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