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...
Answer:
2. 39 cm
Step-by-step explanation:
Jack is 1.79m
1.79 + 2.8= 4.59 m
4.59-4.2= 0.39m
0.39 m= 39 cm
Find out the number of 5% from its original total of 1080 workers.
1080×5%=54
Then,find the total of the employees.
1080+54=1134
So,the new number of employees is 1134.
Answer:
52.4.
Step-by-step explanation:
This is the difference of 2 squares:
a^2 - b^2 = (a - b)(a + b)
(7.62^2 - (2.38)^2
= (7.62 - 2.38)(7.62 + 2.38)
= 5.24 * 10
= 52.4
Answer: 22.4
Explanation:
The pieces of the chords multiply together to get the same result. This is from the intersecting chord theorem.
The first chord has pieces of 10 and x, which multiply to 10*x
This is equal to the other product found by multiplying the pieces 14 and 16 (from the other chord)
10*x = 14*16
10x = 224
x = 224/10 ... divide both sides by 10
x = 22.4