Answer:
k=1
Step-by-step explanation:

Subtract 8 from both sides

Divide

Simplify

Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
The distance formula is d = (x^2 + y^2)^(1/2) This is the same equation used for both. In other words, the equation of a circle gives the radius of the circle in terms of x and y, while the distance formula gives the distance from the origin to the final point in terms of x a
Red apples to all apples:
There are 6 red apples and 13 apples total, so the ratio it 6:13
Green Apples to All Apples:
There are 7 green apples and 13 apples total, so the ratio is 7:13.
B
= 6m^4n^6
c
2/x^-4
= 2x^4
e
3^4 w^-8
= 81 w^-8
= 81/w^8
f
m^-3
= 1/m^3