Answer:
Shirts = $7
Shorts $17
Step-by-step explanation:
Let:
T - shirts
S - shorts
We can make two equations out of this problem:
4T + 3S = $79
7T + 8S = $185
Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown
![4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}](https://tex.z-dn.net/?f=4T%2B3S%3D%5C%2479%5C%5C%5C%5C3S%20%3D%20%5C%2479-4T%5C%5C%5C%5CS%3D%5Cdfrac%7B%5C%2479-4T%7D%7B3%7D)
We use the formula of S and insert it into the other equation:
![7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7](https://tex.z-dn.net/?f=7T%2B8%28%5Cdfrac%7B%5C%2479-4T%7D%7B3%7D%29%20%3D%20%5C%24185%5C%5C%5C%5C7T%20%2B%20%5Cdfrac%7B%5C%24632-32T%7D%7B3%7D%3D%5C%24185%5C%5C%5C%5C%5Cdfrac%7B%5C%24632-32T%7D%7B3%7D%3D%5C%24185-7T%5C%5C%5C%5C%5C%24632-32T%3D3%28%5C%24185-7T%29%5C%5C%5C%5C%24632-32T%3D%5C%24555%20-%2021T%5C%5C%5C%5C-32T%2B21T%3D%5C%24555-%5C%24632%5C%5C%5C%5C-11T%3D-%5C%2477%5C%5C%5C%5C%5Cdfrac%7B-11T%7D%7B11%7D%3D%5Cdfrac%7B-%5C%2477%7D%7B11%7D%5C%5C%5C%5CT%20%3D%20%5C%247)
Thus T-shirts are $7 each.
Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.
![4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17](https://tex.z-dn.net/?f=4T%2B3S%3D%5C%2479%5C%5C%5C%5C4%28%5C%247%29%20%2B%203S%20%3D%20%5C%2479%5C%5C%5C%5C%5C%2428%2B3S%20%3D%5C%2479%5C%5C%5C%5C3S%3D%5C%2479-%5C%2428%5C%5C%5C%5C3S%3D%5C%2451%5C%5C%5C%5CS%3D%5Cdfrac%7B%5C%2451%7D%7B3%7D%5C%5C%5C%5CS%20%3D%20%5C%2417)
We know then that Shorts are $17 each.
Answer:2
Step-by-step explanation: The line meets up at the y axis at 2
Answer:
Bill will earn more interest
He will earn $ 20,448.67 from his investment
Step-by-step explanation:
Firstly let us calculate Jim's earnings based on simple interest
A = P(1 + rt)
Calculation:
First, converting R percent to r
a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
Solving our equation:
A = 15000(1 + (0.035 × 25)) = 28125
A = $28,125.00
The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim
Now let's us calculate bill's investment based on compound interest
Equation
A = P(1 + r)^t
A=15000(1+0.035)^25
A=15000(1.035)^25
A=15000*2.36324498427
A = $ 35,448.67
We see that Bill will earn
$ 20,448.67 from his investment
Answer:
210 hours
Step-by-step explanation:
<u>Step 1: Make an expression</u>
(2/3 * 1575) / 5
<u>Step 2: Multiply</u>
(2/3 * 1575)/5
(1050) / 5
<u>Step 3: Divide</u>
(1050) / 5
210 hours
Answer: 210 hours
Answer:
x= -13/5
Step-by-step explanation: