Answer:$38.39
Step-by-step explanation:
So this is how you will arrive to the answer:
The following formula models the value of a retirement account,
S = (A [ ( 1 + r ) ^ (t + 1) - 1] / r)
wherein:
A = number of dollars added to the retirement account (each year)
r = annual interest rate
s = value of the retirement account after t years
The question is:
If the interest rate is 11% then how much will the account be worth after 15 years if $2200 is added each year?
Round to the nearest whole number.
Solution:
The said formula contains the term t + 1 instead of the usual "t". Means that the formula applies only in the situation where the money is invested at the beginning of the year instead of the usual practice at the end
Given:
A = 2200
r = 0.11
t = 15
The accumulated amount:
F = A ((1 + r) ^ (t+1) - 1 / r
Substitute:
F = 2200 (1.11 ^ (15 + 1 ) - 1) /0.11
F = 86217.88664
If money is invested at the end of the year, then F = 80476.49, the difference being the investment of an extra 2200 over 15 years.
Negative 5 squared is negative 25
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
