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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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Answer:

-2

Step-by-step explanation:

41 - 8m - 57 = 0

41- 8m = 57

-8m = 57-41

-8m = 16

m = -16/8

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Arlecino [84]

Answer:

12.5

Step-by-step explanation:

All I really did was divide the circumference by pi to get the diameter which you end up dividing it by two to get the radius.

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A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate
neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:  

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate  munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

C-2=\frac{1}{11}*(C+D-2)...(1)

We are also told if he instead added 4  glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

C=\frac{1}{7}*(C+D+4)...(2)

Upon substituting C's value from equation (2) in equation (1) we will get,

\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)

Let us have a common denominator on right side of equation.

\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)

\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)

Multiplying both sides of our equation by 7, we will get,

7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)

C+D-10=\frac{7}{11}*(C+D-2)  

Multiplying both sides of our equation by 11, we will get,

11*(C+D-10)=11*\frac{7}{11}*(C+D-2)  

11*(C+D-10)=7*(C+D-2)

11C+11D-110=7C+7D-14

11C-7C+11D-7D=-14+110  

4C+4D=96

4(C+D)=96  

(C+D)=\frac{96}{4}

(C+D)=24

Therefore, the total number of Munchkins in original box is 24.

3 0
3 years ago
Please answer! Thanks
GenaCL600 [577]
1) y = 1x + 95.50
x = number of bandanas

2) y = (1 • 50) + 95.50
$145.50 for 50 bandannas

3) 116.50 = 1x + 95.50
get x by itself

116.50 = 1x+ 95.50
-95.50 -95.50

21 = 1x
divide by 1
21 = x
you get 21 bandannas when you pay $116.50
7 0
3 years ago
Read 2 more answers
U Listen
Elena L [17]

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

4 0
3 years ago
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