Answer:
7n is greater than or equal to 21
t4+10
Step-by-step explanation:
Answer:
Third option is correct.
Step-by-step explanation:
The given model is
Where, h(t) is heigth of rock after time t (in seconds).
The initial height of rock is 124 ft.
The leading coefficient is negative. It means it is a downward parabola.
First we have to the x-intercepts of the function.
Using quadratic formula, we get
and
It means rock remains in the air between .
The value of t can not be negative, therefore rock remains in the air between .
Third option is correct.
Answer:
Step-by-step explanation:
Unfortunately it's not clear what you mean by 6 Σ 2 3(0.5)^n-1. I am going to assume that you mean summing up from n = 2 to n = 6 of the expression 3(0.5)^(n-1). Note that the "n-1" must be enclosed in parentheses.
a(2) = 3(0.5)^(2 -1) = 3(0.5) = 1.5
a(3) = 3(0.5)^(3 -1) = 3(0.5)^2 = 0.75
a(4) = 3(0.5)^(4 -1) = 3(0.5)^3 = 0.375
a(5) = 0.1875
a(6) = 0.09375
Sum these up to find the final answer.
If this is not what you expected, please start over: fix your formatting and put this problem into a new post.
Answer:
<em>The interest earned is $302.18</em>
Step-by-step explanation:
<u>Compound Interest
</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next compound period is earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment described in the question is of P=$600 at a rate of r=6%=0.06 for t=7 years compounded annually. The compounding period coincides with the time of interest rate, thus n=1.
Applying the formula:
A = $902.18
The interest is:
I = A - P = $902.18 - $600 = $302.18
The interest earned is $302.18