Answer:
Her account balance after 5 years is $8702.87
Step-by-step explanation:
1500 (1.05) = 1575 --> after one year
1575 + 1500 = 3075
3075 (1.05) = 3228.75 --> after two years
3228.75 + 1500 = 4728.75
4728.75 (1.05) = 4965.1875 --> after three years
4965.1875 + 1500 = 6465.1875
6465.1875 (1.05) = 6788.44688 --> after four years
6788.44688 + 1500 = 8288.44688
8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87
Given:
An equation in a coincidental system of two linear equations:
2x + 3y = -27
The other equation is
_y = _x - 102
Rearrange the second equation to be identical to the first
_y - _x = -102
Determine the factor, -102/-27 = 3.78
for x, 2 * 3.78 = 7.56
for y, 3 * 3.78 = 11.33
The second equation, 11.33y - 7.56x = -102
Hey there!
<u>Solve </u><u>the </u><u>equation </u><u>:</u>
x = 2 ✅
7x + 8 = -5x + 32
<em>></em><em>></em><em> </em><em>Su</em><em>bstract </em><em>8</em><em> </em><em>from </em><em>e</em><em>ach </em><em>side </em><em>:</em>
7x + 8 - 8 = -5x + 32 - 8
7x = -5x + 24
<em>></em><em>></em><em> </em><em>Add </em><em>5</em><em>x</em><em> </em><em>to </em><em>both </em><em>sides </em><em>:</em>
7x + 5x = -5x + 24 + 5x
12x = 24
<em>></em><em>></em><em> </em><em>Divide </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>2</em><em> </em><em>:</em>
12x / 12 = 24 / 12
x = 2
Therefore, your answer is x = 2
More about equations:
brainly.com/question/12058678
brainly.com/question/27460957
Have a good day ;)
Answer:
r = 3.242 cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Area of a Circle: A = πr²
Step-by-step explanation:
<u>Step 1: Define</u>
A = 33.02 cm²
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute {AC]: 33.02 cm² = πr²
- Isolate <em>r </em>term: 33.02 cm²/π = r²
- Isolate <em>r</em>: √(33.02 cm²/π) = r
- Rewrite: r = √(33.02 cm²/π)
- Evaluate: r = 3.242 cm
Hello!
To find the rate, you'll need to follow this formula
I=P*r*t
30=250*r*3
First, you'll need to rearrange the equation
30=250*3*r
Now you'll need to multiply 250 by 3 to get 750.
30=750r
Now you'll need to divide both sides by 750. Once you've divided 30 by 750 (30/750) you'll get 0.04. Next, you'll move the decimal twice to the right to get 4 or 4% as your rate.
Your rate is 4%
I hope this helps!
