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:
The equation of the line is:
Step-by-step explanation:
Given the table
x y
0 0
1 3
2 6
3 9
4 12
The slope-intercept form of the line equation
where
Taking the two points from the table
Determining the slope between (1, 3) and (2, 6)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (2, 6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 3] / [2 - 1]
= 3 / 1
= 3
Thus, the slope of the line = m = 3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the table, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
now substituting m = 3 and b = 0 in the slope-intercept form of the line equation
y = mx + b
y = 3x + 0
y = 3x
Therefore, the equation of the line is:
The graph of the line equation y = 3x is also attached.
The value of x=10.5 units
Step-by-step explanation:
Here you should have in mind that in a parallelogram, opposite sides are congruent. In this case, AB=DC
Given the expressions, AB= 5x+7 and CD=7x-14 then you can equate the two for the value of x
5x+7 = 7x-14
collect like terms
7+14=7x-5x
21=2x
21/2=2x/2
10.5 =x
Learn More
Properties of a parallelogram : brainly.com/question/3100335
Keywords : parallelogram, side, value
#LearnwithBrainly
Answer:
(0.30, 0.42)
Step-by-step explanation:
i took the test :)
Answer:
Hello! answer: 7
Heres an image to explain I hope this helps you!
