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galben [10]
4 years ago
14

You deposit $2000 in an account earning 3% interest compounded monthly. How much will you have in the account in 5 years

Mathematics
1 answer:
Nadusha1986 [10]4 years ago
5 0

Answer:

$2,323.23

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, we will change 3% into its decimal form:

3% -> \frac{3}{100} -> 0.03

Now, plug the values into the equation:

A=2,000(1+\frac{0.03}{12})^{12(5)}

A=2,323.23

After 5 years, you will have $2,323.23

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I have the area of a circle but how do i find the radius
Tatiana [17]

Answer:

r = √(A/π)

Substitute area into "A", then solve:

Divide A by π, then find the square root of that number.

Explanation:

With the area of a circle, you can find the radius by rearranging its formula.

Area of a circle: A = πr²

<u>Rearrange the formula to isolate "r"</u>.

A = πr²

A/π = πr²/π           Divide both sides by π

A/π = r²                 π divided by π cancels out on the right

√(A/π) = √r²         √ both sides to cancel out ²

√(A/π) = r             Write "r" on the left for standard formatting

r = √(A/π)             Formula for find radius

If you have the area, use this formula.

  1. Substitute "A" with the area.
  2. Divide A by π
  3. Find the square root of that number
7 0
3 years ago
A rectangular park measuring 32 yards by 24 yards is surrounded by a trail of uniform width. If the area of the park and the tra
cluponka [151]

Answer:

The width = 38 yard

Step-by-step explanation:

Given

Dimension of Park = 32 by 24 yard

Area = 1748 yd²

Required

Find the width of the park

Given that the park is surrounded by a trail;

Let the distance between the park and the trail be represented with y;

Such that, the dimension of the park becomes (32 + y + y) by (24 + y + y) because it is surrounded on all sides

Area of rectangle is calculated as thus;

Area = Length * Width

Substitute 1748 for area; 32 + 2y and 24 + 2y for length and width

The formula becomes

1748 = (32 + 2y) * (24 +2y)

Open Bracket

1748 = 32(24 + 2y) + 2y(24 + 2y)

1748 = 768 + 64y + 48y + 4y^2

1748 = 768 + 112y + 4y^2

Subtract 1748 from both sides

1748 -1748 = 768 -1748 + 112y + 4y^2

0 = 768 -1748 + 112y + 4y^2

0 = -980 + 112y + 4y^2

Rearrange

4y^2 + 112y -980 = 0

Divide through by 4

y^2 + 28y - 245 = 0

Expand

y^2 + 35y -7y - 245 = 0

Factorize

y(y+35) - 7(y + 35) = 0

(y-7)(y+35) = 0

Split the above into two

y - 7 = 0\ or\ y + 35 = 0

y = 7\ or\ y = -35

But y can't be less than 0;

So,\ y = 7

Recall that the dimension of the park is 32 + 2y by 24 + 2y

So, the dimension becomes 32 + 2*7 by 24 + 2*7

Dimension = 32 + 14 yard by 24 + 14 yard

Dimension = 46 yard by 38 yard

<em>Hence, the width = 38 yard</em>

5 0
4 years ago
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IgorC [24]
It is (a) -5/3
Slope could also mean gradient, so the gradient of a line is always the number in front of x in the equation y=Mx+c ... Hope it was helpful:)
5 0
3 years ago
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Which store has the lowest price per pound for the cheese?
Anettt [7]
The answer is the letter A
6 0
3 years ago
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Can you please tell me what is <br>-49cd – 7c​
REY [17]

Answer:-7c(7d+1)

Step-by-step explanation:

factor -7c out of -49cd-7c

(factor the expression)

8 0
3 years ago
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