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slavikrds [6]
2 years ago
7

Avery deposited $400 in an account that earned 2.47% interest compounded annually. She did not make additional deposits or withd

rawals.
What will be the balance in this account at the end of 5 years?
Mathematics
1 answer:
aev [14]2 years ago
6 0

Answer:

Amount ($451.9), Interest ($51.9)

Step-by-step explanation:

We need to use the formula of A = P(1 + \frac{r}{n})^n*t

A = Total Amount

P = Principle/Deposited money

R = Annual Interest Rate

N = Number of times compounder per year

T = time in years

We have P = $400, r = 2.47%, n = 1 and t = 5 years.

Now lets plug it all in!

A = 400 (1 + \frac{0.0247}{1})^{1*5}

A = 400 * 1.0247^5

A = 400 * 1.129753

A = 451.9

Now we need to find the interest...

We will use A = P + I since A is 451.9 and P = 400

451.9 = 400 + I

I = 451.9 - 400

I = 51.9

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1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
2 years ago
A deposit earns $102 after 36 months at a simple interest rate of 5%
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Answer:

You need to give us the possible answers first.

Step-by-step explanation:

6 0
3 years ago
At a certain university, 42% of the students are women and 18% of the students are engineering majors. Of the engineers, 22% are
m_a_m_a [10]

Answer:

The probability that the selected person is a woman engineering major is 0.0396.

Step-by-step explanation:

The proportion of students at the university who are women is 0.42.

<em>P (W) = 0.42</em>

The proportion of students at the university who are engineering majors is 0.18.

<em>P (E) = 0.18</em>

The proportion of engineering majors that are women is 0.22.

<em>P (W|E) = 0.22</em>

The proportion of students at the university that are woman and engineering major is:

P (W|E)=\frac{P(W\cap E)}{P(E)} \\P(W\cap E)=P(W|E)\times P(E)\\= 0.18\times0.22\\=0.0396

Thus, the probability that the selected person is a woman engineering major is 0.0396.

7 0
3 years ago
Which expression is equal to 6(-3m)^4
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= 6(-3)^4 m^4
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6 0
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