The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.
<h3>What is simple interest?</h3>
It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.
We know the formula for the simple interest is given by:
I = PRT
Where I is the simple interest.
P is the principal amount
R is the rate of interest
We have in the question:
I = $180
R = 2% = 0.02
T = 1 year
Put the above values in the formula, we get:
180 = P(0.02)(1)
P = $9000
The additional interest Benson pay each month is:
= 9000/12
= $750
Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.
Learn more about the simple interest here:
brainly.com/question/22621039
Answer Interest rate = 12.3%
The compound interest formula is given by:
Where
A = Future amount
P = Present amount (Principal amount)
r = Interest rate in decimal form
n = No. of times compounded per year
t = time in years.
We can say that if:
Present amount = P
Future amount = 3P
r = 12.3/100 = 0.123
n = 1
t = ?
Substitute the values in the formula of compound interest:
Taking log on both sides.
Round off to nearest option
t ≅ 9 years
(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.
