When working with compounded interest does doubling the time of an investment double the amount of interest earned
1 answer:
the equation for compound interest is
we will see if it doubles or not
if t=1, we get A=P(1+r)
if t=2, we get A=P(1+r)^2
2(P(1+r))=P(1+r)^2 ?
2(1+r)=(1+r)^2 ?
2+r=r^2+2r+1
etc
when r=-1.618 or 0.618, then it doubles, but not when r is different things
not always
so no, it does not always double the amount of interest earned
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Answer:
5 months will be the same cost at each gym.
Step-by-step explanation:
As
- Exercise Plus charges a yearly fee of $75 plus $10 a month.
- Gym and Swim charges a yearly fee of $50 plus $15 a month.
Let by the number of months
Therefore, 5 months will be the same cost at each gym.
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
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and finally
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Adding the fractional value of n, we get:
Simplifying and rearranging gives us:
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and finally
The fraction of the puff that are tuna is found from: