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:
All except the second, third, fourth and seventh option.
Step-by-step explanation:
Scientific notation is always a number more than or equal to 1, less than 10 multiplied by 10 to a power. Anything else is considered wrong.
x•10^n while 1<=x<10
Answer:
Step-by-step explanation:
The given expression is:
We apply the distributive property to get:
We add to get:
In scientific notation, we have
Answer:
one
Step-by-step explanation:
for general form : ax²+bx+c=0
delta = b²-4ac
so for this example delta is 8²-4×2×8 =0
we know if delta = 0 , we have just one real number solution
so the answer is 1
The required coordinate of A will be at (-4, 0)
When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;
![M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]](https://tex.z-dn.net/?f=M%28X%2C%20Y%29%3D%20%5B%7B%20%5Cfrac%7Bx_2%2Bx_1%7D%7B2%7D%20%2C%20%5Cfrac%7By_2%2By_1%7D%7B2%7D%20%5D)
where:
From the question, we are given the following coordinate points
Get x₂;
Get y₂;
Hence the coordinate of A will be (-4, 0)
Learn more about the midpoint here: brainly.com/question/18315903
