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After graduating from college, Carlos receives two different job offers. Both pay a starting salary of $65000 per year, but one job promises a $3250 raise per year, while the other guarantees a 4% raise each year. Complete the tables below to determine what his salary will be after t years. Round your answers to the nearest dollar.

After Graduating From College Carlos Receives Two Different Job Offers Both Pay A Starting Salary Of 65000 Per Year But One Job Promises A 3250 Raise Per Year W class=

Sagot :

Given:

• Starting salary of each Job = $65000

,

• Job 1 promises a $3250 raise per year

,

• Job 2 promises a 4% raise each year.

Let's complete the given tables.

The equation to represent job 1 will be a linear equation:

y = 3250t + 65000

The equation which represents job 2 will be an exponential equation:

[tex]\begin{gathered} y=65000\mleft(1+0.04\mright)^t \\ \\ y=65000(1.04)^t \end{gathered}[/tex]

Now, to complete the tables, input the different values of t into the equation and solve for y.

• For Job 1, we have the following:

• When t = 1:

y = 3250(1) + 65000 = 68250

• When t = 5:

y = 3250(5) + 65000

y = 16250 + 65000

y = 81250

• When t = 10:

y = 3250(10) + 65000

y = 32500 + 65000

y = 97500

• When t = 15:

y = 3250(15) + 65000

y =48750 + 65000

y = 113750

• When t = 20:

y = 3250(20) + 65000

y = 65000 + 65000

y = 130000

• For Job 2, we have the folllowing:

• When t = 1:

y = 65000(1.04)¹

y = 67600

• When t = 5

y = 65000(1.04)⁵

y = 65000(1.216652902)

y = 79082

• When t = 10:

y = 65000(1.04)¹⁰

y = 65000(1.480244285)

y = 96216

• When t = 15:

y = 65000(1.04)¹⁵

y = 65000(1.800943506)

y = 117061

• When t = 20

y = 65000(1.04)²⁰

y = 65000(2.191123143)

y = 142423

Therefore, we have the complete table below:

View image ArienaK360478
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