Answer:

x = 10 months
Step-by-step explanation:
Given:
Initial deposit = $100
Weakly deposit = $15
Solution:
We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.
---------(1)
Where:
Y = Total amount
x = Number of months.
Second thing we need to find the month for y = $250
Now, we substitute y = 250 in equation 1.




x = 10 months
Therefore, we need to required 10 months for $250.
Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
-2(5x - 5.5) + 8 = -9x + 2 - (-5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: -10x + 11 + 8 = -9x + 2 + 5
- Combine like terms: -10x + 19 = -9x + 7
- Add 10x to both sides: 19 = x + 7
- Subtract 7 on both sides: 12 = x
- Rewrite: x = 12
Answer:
Step-by-step explanation:
a). Mean of the given data set = 
= 28
b). x

32 32-28 = 4 16
28 28 - 28 = 0 0
18 18 - 28 = -10 100
40 40 - 28 = 12 144
22 22 - 28 = -6 36
= 296
c). Standard deviation = 
= 
= 7.69
d). Mean of the new set of weights = 
= 34
Since mean of the data set is more close to each data, standard deviation will be less than the deviation given in part (c).
Answer:
5.7x
Step-by-step explanation:
Addition, 4.2x+1.5x=5.7x
Answer:
x = 105°
General Formulas and Concepts:
<u>Geometry</u>
Step-by-step explanation:
If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.
Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for <em>x</em>.