Answer: $6444.14 would be deposited quarterly
Step-by-step explanation:
We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as
S = R[{(1 + r)^n - 1)}/r][1 + r]
Where
S represents the future value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
S = $300000
r = 0.08/3 = 0.027
n = 3 × 10 = 30
Therefore,
300000 = R[{(1 + 0.027)^30 - 1)}/0.027][1 + 0.027]
300000 = R[{(1.027)^30 - 1)}/0.027][1.027]
300000 = R[{(2.224 - 1)}/0.027][1.027]
300000 = R[{(1.224)}/0.027][1.027]
300000 = R[45.33][1.027]
300000 = 46.55391R
R = 300000/46.55391
R = 6444.14
I color coded where I canceled numerators and denominators to make it more clear what is going on.
Answer: x =4
Mary is 8 and John is 4
Explanation:
John = x
Mary = 5x - 12 or 2x
Solve for x
5x - 12 = 2x
-12 = -3x
X=4
Hope that helps!
The slope (or average rate of change) formula is:
. It is easy to remember as "slope is easy and fun, rise over run" where the y-values of the 2 points would be the "rise" and the x-values of the 2 points would be the "run" So with two points, you label one point as
and the other as
. Then you insert these points into the slope formula (m represents slope). So,
where (-3,6) is x2 and y2 and (5,1) is x1 and y1. It would simplify to
.
1 ft is 12 inches.
To obtain 120 inches, multiply both numbers above by 10.
12 inches multiplied by 10 is 120 inches.
1 ft multiplied by 10 is 10 ft.
Hence, 120 inches is 10 ft.