Answer:
N = 920(1+0.03)^4t
Step-by-step explanation:
According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.
Rate is 12 % annually
rate in quarterly = 12/4= 3%
We will apply the compound interest equation:
N=P( 1+r/n)^nt
N= ending number of cars serviced.
P= the number of cars serviced in 2012,
r = interest rate
n = the number of compoundings per year
t= total number of years.
Number of compoundings for t years = n*t = 4t
Initial number of cars serviced=920
The quarterly rate of growth = n=4
r = 3%
The growth rate = 1.03
Compound period multiplied by number of years = 920(1.03)^4t
Thus N = 920(1+0.03)^4t
N = number of cars serviced after t years...
As the 2 quadrilaterals are congruent the sides of one quadrilateral are equal to the corresponding sides of the other quadrilateral
Hence,
AB = PQ
RQ = BC
AD = PS
DC = RS
Since terms for both AB and PQ are given we can equate the terms and find m
5m -9 = m + 11
5m -m = 11 + 9
4m = 20
m = 5
Correct answer is D , 5
Answer:
b
Step-by-step explanation:
Answer:
The interest needed to reach that value of $6000 is 2.75%
Step-by-step explanation:
Given as :
The principal that invested in mutual fund = p = $4000
The time period = t = 15 years
The Amount after 15 years = A = $6000
Let The interest needed to reach that value = r%
Now, According to question
<u>From Compound Interest method</u>
Amount = principal ×
Or, A = p ×
Or, $6000 = $4000 ×
or, =
Or, =
or, 1.5 =
or, =
or, 1.0275 =
or, 1.0275 - 1 =
or, 0.0275 =
∴ r = 0.0275 × 100
I.e r = 2.75
So, The interest needed to reach that value = r = 2.75%
Hence,The interest needed to reach that value of $6000 is 2.75% Answer