Answer:
A(n) = 100(1.1)^n
Step-by-step explanation:
Given that :
Account balance = A(n)
Compound interest paid = 10%
We need to obtain the initial amount deposited, that is A(n), when n = 0
In year, n = 1
Account balance, A(n) = $110
Let initial deposit = P
Hence,
Compound interest relation should be ;
A(n) = P(1 + r)^n
Plugging in our values
110 = P(1 + 0.1)^1
110 / P = 1.1^1
110/P = 1.1
110 = 1.1P
P = 110 / 1.1
P = 100
Hence, we can define the amount paid inn n years by substuting the value of P into the compound interest formula :
A(n) = 100(1 + 0.1)^n
A(n) = 100(1.1)^n
Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
5 times larger
Step-by-step explanation:
5*10^5 = 500,000
1*10^5 = 100,000
500,000/100,000 = 5
Answer:
pi
Step-by-step explanation:
To convert from degrees to radians, we multiply by pi/180
180 * pi/180 = pi
