Answer:
The amount invested in the account that paid 8% was $18,000
The amount invested in the account that paid 10% was $6,000
The amount invested in the account that paid 12% was $26,000
Step-by-step explanation:
Let
3x -----> the amount invested in the account that paid 8%
x -----> the amount invested in the account that paid 10%
$50,000-4x ----> the amount invested in the account that paid 12%
in this problem we have
we know that
Solve for x
therefore
The amount invested in the account that paid 8% was $18,000
The amount invested in the account that paid 10% was $6,000
The amount invested in the account that paid 12% was $26,000
Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so 
where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
Answer:
Point estimate is 16 and Margin of error is 9
Step-by-step explanation:
The point estimate is given by the following formula:
Point estimate = (Lower Bound + Upper Bound) / 2
Replacing we have:
Point estimate = (7 + 25) / 2 = 32/2
Point estimate = 16
Now, the margin of error is given by the following equation:
Margin of error = (Upper Bound - Lower Bound) / 2
Margin of error = (25 -7) / 2 = 18/2
Margin of error = 9
Answer: the answer is c.
Step-by-step explanation:
