Answer:
$4080
Step-by-step explanation:
We have the amount she will pay back, but first, we need to find the Interest accrued.
Simple Interest is given as:
where P = principal
R = rate
T = time taken (in years)
Therefore, the interest on $3,000 at 9% simple interest for 4 years is:
I = $1080
Therefore, the amount she will pay back is:
$3000 + $1080 = $4080
Answer:
From the frequency table, let's calculate the row total.
Row total for phone call = 19 + 9 = 28
Row total for no phone call = 8 +6 = 14
To calculate their respective row relative frequencies, let's use:
Row relative freq =
Now, the two-way frequency table will be computed as:
For phone call:
Desirable behavior = ≈0.69
Undesirable behaviour = ≈0.32
No phone call:
Desirable behaviour = ≈ 0.57
Undesirable behaviour = ≈ 0.43
The complete two-way table is attached.
A geometric series is written as , where
is the first term of the series and
is the common ratio.
In other words, to compute the next term in the series you have to multiply the previous one by .
Since we know that the first time is 6 (but we don't know the common ratio), the first terms are
.
Let's use the other information, since the last term is , we know that
, otherwise the terms would be bigger and bigger.
The information about the sum tells us that
We have a formula to compute the sum of the powers of a certain variable, namely
So, the equation becomes
The only integer solution to this expression is .
If you want to check the result, we have
and the last term is