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Rashid [163]
2 years ago
15

Ethan invests $3000 in a mutual fund that earns 6% interest per year compounded monthly. After 10 years, the investment is worth

$5,458.19. How much interest did he earn?
Mathematics
1 answer:
sladkih [1.3K]2 years ago
8 0

Answer:

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

A = 3000(1 + .06/12)^120

strange the question did not want you to calculate the amount

that was given....

the interest is 5,458.19 - 3000 = 2,458.19

Step-by-step explanation:

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Answer:

yes

Step-by-step explanation:

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3 years ago
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The area of the rectangle shown is 44 m2.<br> | 3 m<br> x m<br> Work out the missing length x.
andrew11 [14]

Answer:

area = length \times width \\ 44 = 3 \times x \\ x =  \frac{44}{3}

8 0
2 years ago
A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the n
Aleonysh [2.5K]

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

A = P(1+r)^t

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

A = 3400 \times (1+0.05)^{17} = 7792.86

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

6 0
3 years ago
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Solve. 2(2z – 4) = 4​
Oxana [17]

Answer:

z = 3

Step-by-step explanation:

1) Divide both sides by 2.

2z - 4 =  \frac{4}{2}

2) Simplify 4/2 to 2.

2z - 4 = 2

3) Add 4 to both sides.

2z = 2 + 4

4) Simplify 2 + 4 to 6.

2z = 6

5) Divide both sides by 2.

z =  \frac{6}{2}

6) Simplify 6/2 to 3.

z = 3

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4 0
2 years ago
Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area
zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be (\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8 cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

8 0
2 years ago
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