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Jessica's financial advisor believes that she should spend no more than 28\(\%\) of her gross monthly income for housing. She has determined that amount is \(\$ 1,400\) per month. Based on this amount and her advisor's recommendation, what is Jessica's annual salary?

Short Answer

Expert verified
Jessica's annual salary based on her advisor's recommendation is \$60,000.

Step by step solution

01

Calculate Gross Monthly Income

First, we need to find out Jessica's gross monthly income. Because we know that $1,400 is 28\(\%\) of her gross monthly income, we can set up the equation \(0.28X = 1400\), where X is her gross monthly income. To solve for X, we divide both sides by 0.28, so \(X = 1400 / 0.28\)
02

Calculate Annual Salary

Her annual income is calculated by multiplying her monthly income by 12, because there are 12 months in a year. So, \(Annual Salary = X * 12\)
03

Solving the Equation

Now, let's perform the calculations. In step 1, \(X = 1400 / 0.28 = \$5000\), so Jessica's monthly income is \$5000. Then in step 2, we get her annual salary, \(Annual Salary = \$5000 * 12 = \$60,000\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

housing expenses
Housing expenses encompass all the costs associated with maintaining a home. This can include rent or mortgage payments, property taxes, insurance, and utilities such as water, gas, and electricity. It can also cover maintenance and repair costs.

Understanding housing expenses is a critical component of financial literacy as it often represents one of the largest monthly expenditures.
  • Rent or Mortgage Costs: These are the primary elements of housing expenses. These payments are often fixed but can vary with changes in the market, especially with adjustable-rate mortgages.
  • Utilities: These are necessary services, such as heating, cooling, electricity, and water. These costs can fluctuate with use and seasonal changes.
  • Insurance: Homeowners or renters insurance is essential for protecting property against theft, fire, or other damages.
Managing housing expenses wisely is important because high costs can impact overall financial health and the ability to save for future goals.
gross monthly income calculation
Gross monthly income is the total amount of earnings received before any taxes or deductions are taken out. To find this, we start with specific known expenses or percentages of income, like the 28% housing cost guideline used by financial advisors.

In the given scenario, Jessica's housing expenses are $1,400, which should not exceed 28% of her gross monthly income. We establish the equation for her monthly income: \(0.28X = 1400\). Here \(X\) represents her gross monthly income.

Solving for \(X\), we rearrange the equation: \(X = 1400 / 0.28\). The result gives Jessica's gross monthly income before deductions and taxes, helping her budget and plan effectively. Understanding how to calculate this is key to knowing how much money is available for expenses and savings each month.
annual salary calculation
To calculate an annual salary, you need to multiply the gross monthly income by the number of months in a year, which is 12. This process gives a complete picture of one's yearly earning potential before any taxes or deductions are applied.

Once we have the gross monthly income from the equation \(X = 1400 / 0.28 = 5000\), we proceed to find Jessica's annual salary:\(Annual ext{ }Salary = 5000 \times 12\).

This calculation reveals that Jessica earns an annual salary of \(\$60,000\). Knowing the annual salary allows for better long-term financial planning, enabling individuals to understand their yearly financial capabilities.
percentage of income allocation
Percentage of income allocation is a vital concept in personal finance. It refers to the distribution of income across various expenditure categories, such as housing, savings, entertainment, and others.

A common guideline is the 50/30/20 rule, which recommends splitting after-tax income into:
  • 50% for needs (including housing, groceries, and utilities)
  • 30% for wants (such as dining out and entertainment)
  • 20% for savings and debt repayment
For housing specifically, financial advisors often recommend that housing expenses not exceed a certain percentage of the gross monthly income to maintain financial stability—as seen in Jessica's case with a suggested cap of 28%.

Adhering to such guidelines can help manage spending habits and ensure that individuals save adequately for emergencies and future goals, like retirement.

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