Answer:
2.04 miles per hour
Step-by-step explanation:
Given
Noel
Casey
Required
The rate at which the distance increases
Their movement forms a right triangle and the distance between them is the hypotenuse.
At and
The distance between them is:
After 1 hour, their new position is:
New = Old + Rate * Time
And:
So, the distance between them is now:
The rate of change is:
2a) 30
2 x 15
3 x 5
30=2x3x5
2b) 60
6 x 10
2x3 2x5
60=2x3x2x5
P(sugar cookie)= 8/28=4/14
P(peanut butter cookie)=5/27
Answer:
0r
Step-by-step explanation:
Since they all have r you can pretend it s not there and add it on at the end.
Now 10 - 5 is 5. 5 + 3 is 8. 8 - 8 is 0. tack the r onto the end and you get 0r.
<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
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