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
6x-y=3 this is the equation in standard form
Answer:
b) B and D and c) A and C
Step-by-step explanation:
The hypotheses would be:

(Right tailed test at 5% level)
Sample proportions are
Sample A B C D
Success 31 34 27 38
Proportion p 0.775 0.85 0.675 0.95
Std error
(sqrtpq/n) 0.066 0.056 0.074 0.034
p diff
p-0.75 0.025 0.10 - 0.075 0.20
Z stat
p diff/SE 0.0757 1.77 1.01 5.80
p value 0.469 0.038 0.156 0.000001
we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.
b) Only B and D provide against the null. Because p <0.05
c) A and C provide no evidence for the alternative because p >0.05
Answer:
<em>[22,42]</em>
Step-by-step explanation:
<u>Division
</u>
We must find an interval for the number of visits Casey needs to make to her parents to earn the gold status. The lower limit for that status is 16500 miles.
Each round trip flight Casey takes to visit her parents is 750 miles long. To know the minimum number of visits needed, we divide 16500 / 750= 22. To know the maximum number of visits, we divide 31500 / 750 = 42.
Thus, to earn the gold status at awesome airlines, Casey must go between 22 and 42 times to visit her parents. Expressing in interval notation: [22,42]
First you need to find the radius. To do that you need to divide the diameter by two;
45 / 2 = 22.5
Then you plug the radius in the formula for a sphere. Which is...
V = (4 / 3)πr^3
First you need to find the volume with out pi
V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3