Answer:
4 red cars 6 blue cars
Step-by-step explanation:
What are the values to choose from?
After 6 years the investment is $5555.88
Step-by-step explanation:
A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?
The formula used to find future value is:
![A(t)=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
where A(t) = Accumulated amount
P = Principal Amount
r = annual rate
t= time
n= compounding periods per year
We are given:
P = $3600
r = 7.5 %
t = 6
n = 1
Putting values in formula:
![A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88](https://tex.z-dn.net/?f=A%28t%29%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%5C%5CA%28t%29%3D3600%281%2B%5Cfrac%7B0.075%7D%7B1%7D%29%5E%7B6%2A1%7D%5C%5CA%28t%29%3D3600%28%5Cfrac%7B1.075%7D%7B1%7D%29%5E6%5C%5CA%28t%29%3D3600%281.075%29%5E6%5C%5CA%28t%29%3D3600%281.543%29%5C%5CA%28t%29%3D5555.88)
So, After 6 years the investment is $5555.88
Keywords: Compound Interest formula
Learn more about Compound Interest formula at:
#learnwithBrainly
Answer:
Wave length = speed / frequency
Wave length = 3x10^8 / 4.11x10^4
Wave length = 7.299x10^3nm
Step-by-step explanation:
Answer:
We conclude the equation is linear because it can be rewritten in the form
.
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
![18x + 9y = -416](https://tex.z-dn.net/?f=18x%20%2B%209y%20%3D%20-416)
subtract 18x from both sides
![18x+9y-18x = - 18x-416](https://tex.z-dn.net/?f=18x%2B9y-18x%20%3D%20-%2018x-416)
simplify
![9y = -18x - 416](https://tex.z-dn.net/?f=9y%20%3D%20-18x%20-%20416)
divide both sides by 9
![y=-2x-\frac{416}{9}](https://tex.z-dn.net/?f=y%3D-2x-%5Cfrac%7B416%7D%7B9%7D)
Now, comparing the equation
with a slop-intercept form of linear equation
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form
.
From the attached graph, is also clear that the graph of the equation
is a straight line.
Hence, option D is correct.