Answer:
17 years
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r, compounded n times per year for t years.
Filling in the numbers and solving for t, we find ...
16826.03 = 8534(1 +.04/12)^(12t)
16826.03/8534 = 1.0033333...^(12t)
Taking logs, we have ...
log(16826.03/8534) = 12t·log(1.0333333...)
Dividing by the coefficient of t gives ...
log(16826.03/8534)/(12·log(301/300)) = t ≈ 17.000
It will take 17 years for the account balance to reach $16,826.03.
Answer:
It will have complex and different roots.
Step-by-step explanation:
The solution is attached in the image below:
Parallel line means having the SAME slope
so the slope of a line parallel to the given line is 2
plug in the given point and slope of 2 into point slope form
y+1 = 2 (x+4)
solve for slope intercept form
y+1 = 2x + 8
y = 2x + 7
answer: y=2x+7
x represents the amount of men
8/5 = x/80
5x = 640
x = 128
Add 128 men and 80 women and the<em> total number of employees is 208</em>
Answer: 8+(x÷39) or (x÷30)+8