Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
Answer:
x=1/8y+9/8
y=<u>y=−8x+9</u>
Step-by-step explanation:
<u>Let's solve for y.</u>
<u>8x+y=9</u>
<u>Step 1: Add -8x to both sides.</u>
<u>8x+y+−8x=9+−8x</u>
<u>y=−8x+9</u>
<u />
<u>Let's solve for x.</u>
<u>8x+y=9</u>
<u>Step 1: Add -y to both sides.</u>
<u>8x+y+−y=9+−y</u>
<u>8x=−y+9</u>
<u>Step 2: Divide both sides by 8.</u>
<u>8x/8=−y+9/8</u>
<u>x=−1/8y+9/8</u>
<u />
<u />
Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
0.4(12 - 3x) = 0.3(12x - 16)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4.8 - 1.2x = 3.6x - 4.8
- Add 1.2x on both sides: 4.8 = 4.8x - 4.8
- Add 4.8 on both sides: 9.6 = 4.8x
- Divide 4.8 on both sides: 2 = x
- Rewrite: x = 2
