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Dovator [93]
3 years ago
10

Hank invested $50,000 in a mutual fund that earns 7% interest compounded annually. How much interest did he earn after 10 years?

Mathematics
2 answers:
Fed [463]3 years ago
8 0

9514 1404 393

Answer:

  G)  $48,357.57

Step-by-step explanation:

The future value formula can be used to find the account value:

  FV = P(1 +r)^t

where P is invested at annual rate r for t years.

  FV = $50,000(1.07^10) ≈ $98,357.57

The amount of interest earned is the difference between this value and the value of the initial investment:

  interest = $98,357.57 -50,000 = $48,357.57

Hank earned $48,357.57 in interest after 10 years.

_____

At 7% interest, the "rule of 72" tells you the doubling time of the account is about 72/7 = 10.3 years. That is the account value will be not quite double the original investment after 10 years. So, the amount of interest earned is only slightly less than $50,000. If the account earned simple interest, the interest earned would be $35,000. Only one answer choice is more than $35,000 and less than $50,000.

anastassius [24]3 years ago
7 0

Answer:

F $35,000

Step-by-step explanation:

3,500 is 7% of 50,000 3500 multiplied by 10 years= 35,000

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Tomtit [17]

240 days is 4 times the half-life, which means that a sample of 1000 mg will decay to

\dfrac{1000}{2^4}=\dfrac{125}2=62.5\,\mathrm{mg}

after 240 days.

3 0
3 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
2÷9<br><img src="https://tex.z-dn.net/?f=78%20%5Csqrt%7B%7D%20" id="TexFormula1" title="78 \sqrt{} " alt="78 \sqrt{} " align="ab
dimulka [17.4K]

Answer:

2 ÷ 9 ≈ 0.222

√78 ≈ 8.832

3 0
3 years ago
Find the value of x and y
telo118 [61]

Answer:

 2x+10 // 2 • (x + 5)  

Step-by-step explanation:

Final Result :

     y + 10  

Processing ends successfully



 


6 0
3 years ago
5 movie tickets cost $55. At this rate, what is the cost per ticket?
Mariana [72]

Answer:

11

Step-by-step explanation:

55/5 equals 11

4 0
3 years ago
Read 2 more answers
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