Answer:
Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Explanation:
The formula for compound interest is i = r/n.
r represents the interest rate in decimal form.
n represents the compounding periods in a year.
Calculate the interest rate for 7% compounded quarterly:
Since interest compounded quarterly is four times a year, n = 4.
7% is converted to decimal form by dividing by 100.
7 / 100 = 0.07
r = 0.07
Substitute these into the formula:
i = r/n
= 0.07/4
= 0.0175
0.0175 is in decimal form. To convert it to a percentage, multiply it by 100.
0.0175 X 100 = 1.75%
1.75% ≠ 2%
Therefore, Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Finding x,
We will use Pythagoras theorem to determine the value of x:
Finding y,
We have to determine the angle, at the bottom left of the bigger triangle.
Using sine rule,
To find the angle on the smaller triangle,
Finding the missing length of y,
So y = 2 + 8, y = 10
Answer:
D. 108 liters
Step-by-step explanation:
Given that the leak is ;
5 drops = 5 minutes
?= 4 weeks
Find number of hours in 4 weeks
1 week=7days
4 weeks=?--------------cross multiply
4×7=28 days
1 day=24 hours
28 days=?--------------cross multiply
28×24=672 hours
Hour= 60 minutes
672 hours=?
672×60=40320 minutes
Finding the leakage in 4 weeks
80 drops= 5 minutes
?=40320 minutes------------cross multiplication
(40320×80)÷5 =645120 drops
Finding the liters of water wasted in 4 weeks
60 drops of water= 10 milliliters
645120 drops of water=?-------------cross multiply
(645120×10)÷60 =107520 milliliters
But you know
1 milliliter=0.001 liters
107520 milliliters=?-----------cross multiply
107520×0.001
=107.52 liters
=108 liters