For
, we have
and so
which is, again, only valid for
.
Answer:
He will have $276.10 available towards the down payment for his motorcycle
Step-by-step explanation:
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:
Compounded quarterly, so n = 12/4 = 3.
We have to find A.
He will have $276.10 available towards the down payment for his motorcycle
We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.
This means that we need to find the time he spends in sleeping when he is in the school.
Therefore, we have to add the time he spends in sleeping and the time he spends in school.
Therefore, required fraction is given by
Now in order to add the fractions, we have to make the denominator same.
Multiply the numerator and denominator of first fraction by 8 to make the same denominator.
Now, we have the same denominator hence, we can add the numerator
Therefore, Tim spends 15/24 hours each weekday sleeping in the school.
Answer:
Step-by-step explanation: L=W+3
2(W+3)+2W=24
2W+6+2W=24
4W=24-6
4W=18
W=18/4
W=4.5 ANSWER FOR THE WIDTH.
L=4.5+3
L=7.5 ANSWER FOR THE LENGTH.
PROOF
2*4.5=2*7.5=24
9+15=24
24=24
I believe it’s A.
good luck!!