Pemdas
parenthasees exponents mult/division additon/subtraction
parethenasees
x-3 and x+5 we can't do anything with so next
5(x-3)=5x-15
2(x+5)=2x+10
5x-15+2=5x-13
(2x+10-9)=2x+1
(5x-13)-3(2x+1)
-3(2x+1)=-6x-3
5x-13-6x-3=-x-16
4(-x-16)=-4x-64
the answer is -4x-64
Answer:
![y=4x](https://tex.z-dn.net/?f=y%3D4x)
Step-by-step explanation:
<u>Equation of the line</u>
A line can be expressed in many forms.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
![\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
We are required to find a line with slope m=4 passing through the origin (0,0).
Using the point-slope form:
y-0=4(x-0)
Simplifying
![\boxed{y=4x}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D4x%7D)
Answer:
V=706.85
Step-by-step explanation:
Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.
Formula: V= ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
![\pi](https://tex.z-dn.net/?f=%5Cpi)
h ---> V= ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
(
)(27)
And put the plugged in formula in your calculator and you'll find the answer!
V=706.85
I hope this helped.
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula
![\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}](https://tex.z-dn.net/?f=%5Clarge%20%5Ctext%7B%24%20%5Csf%20A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D%20%24%7D)
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $2,000
- r = 3.25% = 0.0325
- n = 1
- t = 10
Substitute the given values into the formula and solve for A:
![\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20A%3D2000%5Cleft%281%2B%5Cfrac%7B0.0325%7D%7B1%7D%5Cright%29%5E%7B%281%20%5Ctimes%2010%29%7D)
![\implies \sf A=2000(1.0325)^{10}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20A%3D2000%281.0325%29%5E%7B10%7D)
![\implies \sf A=2753.788608...](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20A%3D2753.788608...)
Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.
Answer:
Step-by-step explanation:
105