Answer:
64 cubic feet.
Step-by-step explanation:
Volume is length times height times width.
It is all 4 feet, so it is 4 feet * 4 feet * 4 feet, or 64 cubic feet.
Answer:
$133991.2
Step-by-step explanation:
Bob makes his first $1000 deposit into an IRA earning 6.8% compounded annually on his 24th birthday and his last $1000 deposit on his 36th birthday (13 equal deposits in all).
Therefore, till his retirement on his 65th birthday, the first deposit of $1000 will compound for (65 - 24) = 41 years.
His second deposit of $1000 will compound for 40 years and so on up to his 13th deposit of $1000, which will be compounded for ( 65 - 36) = 29 years.
Therefore, after retirement in his IRA there will be total
$ dollars
= $
So, this is a G.P. whose number of terms is 13, the first term is and common ratio is 1.068, then using formula for sum of G.P. we get,
= $
= $
= $133991.2 (Answer)
1. The sum of of the interior angles of a triangle is 180°.
2. Keeping this on mind, you have:
A+B+C=180
<span>
A=11x-4
B = 4x-11
C=63-4x
</span>
3. When you substitute these values, you obtain:
A+B+C=180
11x-4+4x-11+63-4x=180
11x+48=180
11x=180-48
11x=132
x=132/11
x=12
3. Therefore:
A=11(12)-4
A=128°
B = 4(12)-11
B=37°
C=63-4(12)
C=15°
5. The answer is:
A. AB, AC, BC
Answer:
12.01 sticks of satay
Step-by-step explanation:
Let
Total satay bought = x
Eldest child ate = 1/6x
Youngest child ate = 0.25x
Total = 1/6x + 0.25x
= 0.167x + 0.25x
= 0.417x
Remaining satay = x - 0.417x
= 0.583x
The rest of the satay was shared equally between her other 2 children where each person ate 14 sticks of satay.
Her and her other two children = 3 people
Sticks of satay pee person = 14
Total sticks eaten by 3 people = 14 × 3
= 42 sticks
0.583x = 42
x = 42/0.583
= 72.04
x = 72.04 sticks
Total satay bought = x = 72.04 sticks
Eldest child ate = 1/6x
= 1/6 * 72.04
= 12.01 sticks of satay
Answer:
The minimum sample size needed is 125.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of , so .
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when
So
Rounding up
The minimum sample size needed is 125.