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sergiy2304 [10]
3 years ago
11

A principal of $400 is invested in an account at 6% per year compounded annually. What is the total amount of money in the accou

nt after 5 years? A. $526.00 B. $531.37 C. $535.29 D. $520.00
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0
To find the outcome of compounded money, we use the following formula:
e = b \times (1 + \frac{i}{100} ) {}^{n}

In this formula:
e represents the outcome
b represents the money at the beginning
i represents the interest rate
n represents the number of years.

Filling in this formula, we get:
e = 400 \times (1 + \frac{6}{100}) {}^{5}
e = 400 \times 1.06 {}^{5}
e = 535.29
Therefore the answer is C. $535.29
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Find the value of angel 0 to the nearest 10th<br>​
BaLLatris [955]

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

Tanθ=3/4

Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

θ=36.9

Hope this helps :)

8 0
3 years ago
What are the variables for question 5, problem a, I don't quite understand.
valentinak56 [21]
One variable is the amount of time it takes her to make a plate. The other variable is the amount of time it takes her to make a cup.
8 0
3 years ago
The length of the rectangle is 4cm less than its width . what are the dimensions of the rectangle if its area is 140
melomori [17]
Let the width of the rectangle be x
Then length =x-4
Area=x(x-4)=140
x²-4x=140
x²-4x-140=0
x²-14x+10x-140=0
x(x-14)+10(x-14)=0
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Therefore,length=14 cm and  width=10 cm

8 0
3 years ago
Whats the slope of (6,11) and (42,77)​
Zigmanuir [339]
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6 0
3 years ago
plz hurry 82 points help plzThe rental rate for a power washer has a one time fee of $50 plus $25 for each day of the rental. Th
aleksandrvk [35]

Answer:

y=25x+50

Step-by-step explanation:

The rental rate for a power washer has a one time fee of $50 plus $25 for each day of the rental.

let x be day of rental n y be the total cost of rental

with 0 day (x=0), the one time fee means y=50 which is the y-intercept

$25 per day means the slope is 25

combining y = 25x + 50

7 0
3 years ago
Read 2 more answers
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