Tom and Jerry were offered similar jobs at competing companies. Sony offered Tom a starting salary of $32,000 per year with a 7% raise at the end of each year. Panasonic offered Jerry a $35,000 annual starting salary with a 5% raise at the end of each year.

A) What is the raise for each of them at the end of the first year with their respective company?

B) What will their new salaries be at the end of the first year?

C) Generate a table to show each of their salaries for the first 5 years.

D) Does Tom’s salary ever exceed Jerry’s salary? Explain your answer.

Do you know how to do parts A and B?

We'll be glad to check your answers.

34240 at sony

and 36750 at panasonic

noone knows the answers ?

A) To calculate the raise for each of them at the end of the first year, we need to find 7% of $32,000 for Tom and 5% of $35,000 for Jerry.

For Tom:
Raise = 7% of $32,000
Raise = (7/100) * $32,000
Raise = $2,240

For Jerry:
Raise = 5% of $35,000
Raise = (5/100) * $35,000
Raise = $1,750

So, Tom's raise at the end of the first year is $2,240 and Jerry's raise is $1,750.

B) To find their new salaries at the end of the first year, we need to add the raise to their starting salaries.

For Tom:
New Salary = $32,000 + $2,240
New Salary = $34,240

For Jerry:
New Salary = $35,000 + $1,750
New Salary = $36,750

So, Tom's new salary at the end of the first year is $34,240 and Jerry's new salary is $36,750.

C) To generate a table for each of their salaries for the first 5 years, we can calculate their salaries year by year, considering the raise at the end of each year.

Let's create the table:

Year Tom's Salary Jerry's Salary
---------------------------------------
1 $34,240 $36,750
2 $36,796 $38,588
3 $39,351 $40,517
4 $41,907 $42,543
5 $44,463 $44,670

We can use the formulas we derived earlier to calculate the salaries for each year.

D) To determine if Tom's salary ever exceeds Jerry's salary, we can compare their salaries year by year. From the table above, we can see that Tom's salary never exceeds Jerry's salary in the first 5 years. Jerry's salary consistently remains higher than Tom's salary at the end of each year.