Answer:
![12\ weeks](https://tex.z-dn.net/?f=12%5C%20weeks)
Step-by-step explanation:
<u><em>The complete question is</em></u>
Angelo recently opened a bank account and deposits the same amount each week. After 8 weeks, he deposited $280. He wants to deposit a total of 420 in his account. How many weeks will it Angelo to deposit a total of $420
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Let
x ----> the number of weeks
y ----> the total deposit in the bank account
In this problem we have a proportional relationship between the variables x, and y.
we have the ordered pair (8,280)
Find the constant of proportionality k or slope of the linear equation
![k=\frac{280}{8}=\$35\ per\ week](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B280%7D%7B8%7D%3D%5C%2435%5C%20per%5C%20week)
so
The linear equation is
![y=35x](https://tex.z-dn.net/?f=y%3D35x)
For y=420
Substitute in the linear equation
![420=35x](https://tex.z-dn.net/?f=420%3D35x)
Solve for x
![x=12\ weeks](https://tex.z-dn.net/?f=x%3D12%5C%20weeks)
Answer:
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope (Gradient) Formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
A (-3, 3)
B (-1, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
![m=\frac{-1-3}{-1+3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1-3%7D%7B-1%2B3%7D)
- Subtract/Add:
![m=\frac{-4}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-4%7D%7B2%7D)
- Divide:
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
Answer:
Choice C (the third option)
Step-by-step explanation:
![(a+b)(a+b) = a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%28a%2Bb%29%20%3D%20a%5E2%2B2ab%2Bb%5E2)
Choice C is incorrect because it is missing the
. Hope this helped!