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kolbaska11 [484]
3 years ago
8

on the first day of the year, you have $700 in your bank account. you spend $35 per week. your friend starts the year with $450

in his bank account. he saves $15 per week. solve the equation 700 – 35w = 450 15w to find out how many weeks, w, it will take for you and your friend have the same amount of money in your accounts.
Mathematics
2 answers:
____ [38]3 years ago
7 0
5weeks
<span>Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.</span>
MrRa [10]3 years ago
3 0
700 - 35w = 450 + 15wLet's flip this equation450 + 15w = 700 - 35wNow, add both sides by 35w450 + 50w = 700Subtract both sides by 45050w = 250Divide both sides by 50w = 5
Thus, it will take 5 weeks for you an your friend to have the same amount of money.
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The effective rate is calculated in the following way:
r =  {(1 +  \frac{i}{n} )}^{n} - 1
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our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
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r = {(1 +  \frac{8\%}{2}) }^{2}  - 1 \\ r =  {(1 +  \frac{1}{25}) }^{2}  - 1 \\ r =  \frac{676}{625}  - 1 \\ r = 0.0816 \: or \: 8.16\%
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Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are ne
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James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i
FinnZ [79.3K]

To recover the investment James will take \boxed{2.5{\text{ years}}}.

Further Explanation:

Given:

The current salary of James is \$ 42000.

The time taken to complete the college degree is 2{\text{ years}}.

The cost of the college degree is \$ 28000.

The James’ new salary after college degree will be \$ 56000.

Calculation:

The total investment of James can be calculated as follows,

\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}

The total investment for 2 years will be \$ 140000.

The James’ new salary after college degree will be \$ 56000.

The time taken by James to recover \$ 140000.

\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}

To recover the investment James will take \boxed{2.5{\text{ years}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445
  2. Learn more about range and domain of the function brainly.com/question/3412497
  3. Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

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