Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The expenses and income of an individual are given in table form. Find the net monthly cash flow (it could be positive or negative). Assume salaries and wages are after taxes, that 1 month 
=4 weelas, and that 1 yene 
=12 months. Round your answer to the nearest dollar.




Income
Expenses


$alary. 
$64500// year
Mortagage: 
$3480// month


Jewelry sales: 
$400// month
Grocertes: 
$150// week



Household expenses: 
$240// month



Car insurance: 
$2150 semianually



Donations: 
$800 year



Miscellaneous: 
$500// month

The expenses and income of an individual are given in table form. Find the net monthly cash flow (it could be positive or negative). Assume salaries and wages are after taxes, that 11 month =4 =4 weelas, and that 11 yene =12 =12 months. Round your answer to the nearest dollar.\newline\begin{tabular}{ll}\newline\hline Income & Expenses \\\newline\hline \$alary. \( \$ 64500 / \) year & Mortagage: \( \$ 3480 / \) month \\\(\newline\)Jewelry sales: \( \$ 400 / \) month & Grocertes: \( \$ 150 / \) week \\\(\newline\)& Household expenses: \( \$ 240 / \) month \\\(\newline\)& Car insurance: \( \$ 2150 \) semianually \\\(\newline\)& Donations: \( \$ 800 \) year \\\(\newline\)& Miscellaneous: \( \$ 500 / \) month \\\(\newline\)\hline\(\newline\)\end{tabular}

Full solution

Q. The expenses and income of an individual are given in table form. Find the net monthly cash flow (it could be positive or negative). Assume salaries and wages are after taxes, that 11 month =4 =4 weelas, and that 11 yene =12 =12 months. Round your answer to the nearest dollar.\newline\begin{tabular}{ll}\newline\hline Income & Expenses \\\newline\hline \$alary. \( \$ 64500 / \) year & Mortagage: \( \$ 3480 / \) month \\\(\newline\)Jewelry sales: \( \$ 400 / \) month & Grocertes: \( \$ 150 / \) week \\\(\newline\)& Household expenses: \( \$ 240 / \) month \\\(\newline\)& Car insurance: \( \$ 2150 \) semianually \\\(\newline\)& Donations: \( \$ 800 \) year \\\(\newline\)& Miscellaneous: \( \$ 500 / \) month \\\(\newline\)\hline\(\newline\)\end{tabular}
  1. Convert to Monthly Salary: First, convert the annual salary to a monthly amount by dividing by 1212.$64500/12=$5375\$64500 / 12 = \$5375 per month.
  2. Calculate Total Monthly Income: Next, add the monthly income from jewelry sales to the monthly salary.\newline$5375\$5375 (salary) + $400\$400 (jewelry sales) = $5775\$5775 total monthly income.
  3. Calculate Monthly Groceries Expense: Now, calculate the weekly groceries expense for a month by multiplying by 44.$150×4=$600\$150 \times 4 = \$600 per month for groceries.
  4. Calculate Monthly Car Insurance: Convert the semiannual car insurance payment to a monthly amount by dividing by 66.\newline$2150/6=$358.33\$2150 / 6 = \$358.33 per month for car insurance.
  5. Calculate Monthly Donations: Convert the annual donations to a monthly amount by dividing by 1212.$800/12=$66.67\$800 / 12 = \$66.67 per month for donations.
  6. Calculate Total Monthly Expenses: Add up all the monthly expenses.$3480\$3480 (mortgage) + $600\$600 (groceries) + $240\$240 (household expenses) + $358.33\$358.33 (car insurance) + $66.67\$66.67 (donations) + $500\$500 (miscellaneous) = $5245\$5245 total monthly expenses.
  7. Calculate Net Monthly Cash Flow: Subtract the total monthly expenses from the total monthly income to find the net monthly cash flow.$5775\$5775 (income) - $5245\$5245 (expenses) = $530\$530 net monthly cash flow.

More problems from Volume of cubes and rectangular prisms: word problems