If she deposited $600 and had $621.60 after four years, then she earned: $621.60 - $600 = $21.60 in four years. It means in one year she earned $21.60 ÷ 4 = $5.40. Now we have to find out how many percent of $600 is $5.40:
$5.40 = x% from $600
5.4 = x/100 * 600
5.4 = 600x/100 / * 100 (both sides)
540 = 600x / ÷ 600 (both sides)
x = 0.9
So the interest rate was 0.9% annually.
Now we have to find out how much is 0.9% from $1100:
$1100 * 0.9% =
= 1100 * 9/1009 =
= 9900/1000 =
= 9.9
It means in one year she would earn $9.90. After 7 years she would earn $9.90 * 7 = $69.30, so she would have in her account:
$1100 + $69.30 = <u>$1169.30</u>
Answer:
7
Step-by-step explanation:
$45- $8 = 37 (aka his raffle ticket spending money)
37÷5= 7, so the max # of raffle tickets he can buy is 7.
Answer:
Step-by-step explanation:
3x^5+6x^3
=3x^3(x^2+2)
Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves
<span> y = f(x) and y = g(x)</span>
such that
<span> f(x) > g(x)
</span>
then the area between them bounded by the horizontal lines x = a and x = b is
To remember this formula we write
Answer: second option
Step-by-step explanation:
To find the inverse function of the given function f(x):
![f(x)=2x](https://tex.z-dn.net/?f=f%28x%29%3D2x)
You need to:
Substitute
into the function:
![y=2x](https://tex.z-dn.net/?f=y%3D2x)
Now, you need to solve for "x", to do this, you must divide both sides of the function by 2:
![\frac{y}{2}=\frac{2x}{2}\\\\\frac{y}{2}=x](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D%3D%5Cfrac%7B2x%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7By%7D%7B2%7D%3Dx)
Now, replace "x" with "y" and replace "y" with "x":
![\frac{x}{2}=y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%3Dy)
Therefore, substituting
you get:
or ![f^{-1}(x)=\frac{1}{2}x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx)