Answer:
30 + 2 + 0.04 + 0.003.
Step-by-step explanation:
Your answer is A!
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Answer: the height = 14 inches
Width = 13 inches
Step-by-step explanation:
Let h represent the height of the storage box.
The height of the box will be 1 in. more than its width. This means that the width of the box would be (h - 1) inch.
The formula for determining the volume of a rectangular box is expressed as
Volume = length × width × height
From the information given,
Volume = 4368 in³
Length = 24 in
Therefore,
4368 = 24 × h × (h - 1)
4368 = 24h(h - 1)
Dividing both sides by 24, it becomes
182 = h² - h
h² - h - 182 = 0
h² + 13h - 14h - 182 = 0
h(h + 13) - 14(h + 13) = 0
h - 14 = 0 or h + 13 = 0
h = 14 or h = - 13
Since the height cannot be negative, then h = 14 inches
Width = h - 1 = 14 - 1
Width = 13 inches
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Answer:
The interest is compounded quarterly.
The effective annual interest rate on the account is 8.60%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, 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 year and t is the time in years for which the money is invested or borrowed.
We are given:
Comparing to the general formula.
From the last one:
Which means 4 compoundings per year. This means that the interest is compounded quarterly.
Interest rate:
Since n = 4.
So the interest rate is of 8.60%.