Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount
1 answer:
Lets solve the problem through compound interest formula,
The number of months are 360
The account pay interest rate is 5.1 %compounded monthly.
The amount withdraws each month is $2154
The value of n is 360.
The value of is<em> i</em> is 5.1%
So,
Hence the value of principal is $396721.78
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<h2>Hello!</h2>
The answer is:
In 2036 there will be a population of 32309 rabbits.
<h2>Why?</h2>We can calculate the exponential decay using the following function:
Where,
Start Amount, is the starting value or amount.
Percent, is the decay rate.
t, is the time elapsed.
We are given:
Now, substituting it into the equation, we have:
Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.
Have a nice day!
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
