Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place
1 answer:
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General formula to be used: 
F = future worth; P = present worth, i = annual interest, n = years
1.)
F = <span>$5931.06
</span>
2.)
i = 2.43%
3.)
n = 3.7 = 4 years
4.)
F = $329.39
5.)
P = $1.45
*I doubt the 1212 years. I think that is a typo error. Nevertheless, just substitute the correct number of years to determine P :)
F = future worth; P = present worth, i = annual interest, n = years
1.)
F = <span>$5931.06
</span>
2.)
i = 2.43%
3.)
n = 3.7 = 4 years
4.)
F = $329.39
5.)
P = $1.45
*I doubt the 1212 years. I think that is a typo error. Nevertheless, just substitute the correct number of years to determine P :)
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)