The formula you can use for the withdrawals is that of an annuity. You have interest adding to the balance at the same time withdrawals are reducing the balance.
The formula I remember for annuities is
.. A = Pi/(1 -(1 +i)^-n) . . . . . i is the interest for each of the n intervals; A is the withdrawal, P is the initial balance.
This formula works when the withdrawal is at the end of the interval. To find the principal amount required at the time of the first withdrawal, we will compute for 3 withdrawals and then add the 7500 amount of the first withdrawal.
.. 7500 = P*.036/(1 -1.036^-3)
.. 7500 = P*0.357616
.. 7500/0.0347616 = P = 20,972.20
so the college fund balance in 4 years needs to be
.. 20,972.20 +7,500 = 28,472.20
Since the last payment P into the college fund earns interest, its value at the time of the first withdrawal is P*1.036. Each deposit before that earns a year's interest, so the balance in the fund after 4 deposits is
.. B = P*1.036*(1.036^4 -1)/(1.036 -1)
We want this balance to be the above amount, so the deposit (P) is
.. 28,472.20*0.036/(1.036*(1.036^4 -1)) = 6510.62
You must make 4 annual deposits of $6,510.62 starting now.
Answer: 13.57884
Step-by-step explanation:
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x-intercepts are where the graph crosses the x-axis. These are (-1, 0) and (3, 0) from the graph.
y-intercepts are where the graph crosses the y-axis. This is (0, -3) from the graph.
The expression for finding the volume of a cube is s^3 in this case it is 16^3 or 16*16*16
The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.
The inequality that represents this scenario is:
From the complete question, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is as follows:
Initial Fee + Rate * Number of stops <= Amount
We use <= because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
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