Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice = 
.
And the number of bottles recycled by Mike = 
.
So, according to question:
⇒
<em>Dividing both sides by 7 we get:</em>
⇒
.
Therefore, the number of bottles recycle by Alice is 21.
All you have to do is 14*.30 which equals to $4.20
Answer:
m ≥ 3
m is greather or equal to 3
Step-by-step explanation:
m + 4 ≥ 7
m ≥ 7 - 4
m ≥ 3
<span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.
We require B(n) = 0...i.e. balance of 0 after n months.
so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
Then, with some algebraic juggling we get:
n = -[log(1 - (Ai/P)]/log(1 + i)
Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43
Also, i = (13.6/100)/12 => 0.136/12 per month
i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)
so, n = 4.15 months...i.e. 4 payments + remainder
b) Now we have A = $754.43 - $300 = $454.43 so,
n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)
so, n = 1.54 months...i.e. 1 payment + remainder
</span>
PR=9(43)-31
PR=387-31
PR=356
I think that's the answer :)
