Rachael has a job assembling a certain car accessory.

Rachael has a job assembling a certain car accessory.
Last month she made a total of 424 items. Calculate her gross pay (in $) if she is paid on the following differential piecework schedule.
Pay Level Items produced Rate per Item
1 1–160 $9.58
2 Over 160 $11.41
$

Inez wants to have $14,750 in 5 years. Use the present value formula to calculate how much Inez should invest now at 4% interest, compounded quarterly in order to reach her goal.
$11,800.00$12,080.30 $12,088.28$12,123.42

3.
Georgia bought outdoor furniture for a total purchase price of $2,050.75. State taxes were 5.75%. Find the amount of the sales tax. (Round your answer to the nearest cent.)
$97.65$111.51 $116.08$117.92

4.
Suppose you wish to have $11,000 in 13 years. Use the present value formula to find how much you should invest now (in $) at 6% interest compounded semiannually in order to meet your goal. (Round your answer to the nearest cent.)
$

5.

Ross is single with an adjusted gross income of $69,100, and he uses the standard deduction for single filers. After first finding his taxable income, calculate his tax liability (in $).
$

6.
Find the amount (in $) of interest and the maturity value of the loans. Use the formula
MV = P + I
to find the maturity value. (Round your answers to two decimal places.)
Principal Rate (%) Time Interest Maturity Value
$185,000 14
1
2
5 months $ $

7.
Suppose you bought a sofa for a total purchase price of $1,584.97. Sales tax was 4%. What was the amount of the sales tax (in $)? (Round your answer to the nearest cent.)
$

8.
The financial officer of Toys and Noise arranges a loan of $8,500, at 8.5% interest, for 31 months. Find the amount of simple interest. (Round to the nearest cent.)
$1,445.00$1,866.46 $2,239.75$3,290.32

9.
Gina’s base pay rate is $14.25 per hour, with overtime pay of time-and-a-half, and double-time for holidays. Calculate her gross pay if she worked 4.5 holiday hours in addition to 39 hours Monday through Saturday. (Round your answer to the nearest cent.)
$619.88$651.94 $684.00$961.88

10.
Maria invests $4,200, at 6% interest, compounded quarterly for one year. Use Table 11-1 to calculate the annual percentage yield (APY) for her investment (as a %). Note: “Annual percentage yield” is also known as “effective interest rate.” (Round your answer to two decimal places.)
%

11.
A store manager obtained a loan of $35,000, at
6
3
8
%
interest, for 14 months to purchase supplies. Find the amount of simple interest. (Round to the nearest cent)
$2,231.25$2,603.13
$3,114.38$31,237.50

find the cost of your paper

Sample Answer

 

1. Rachael’s gross pay is $4,643.68.

Pay Level Items produced Rate per Item Total
1 1–160 $9.58 $1,532.80
2 Over 160 $11.41 $3,110.88
Total: $4,643.68

Full Answer Section

 

 

2. Inez should invest $12,088.28 now at 4% interest, compounded quarterly in order to reach her goal of $14,750 in 5 years.

PV = FV / (1 + r/n)^(n*t)

Where:

  • PV is the present value
  • FV is the future value
  • r is the interest rate
  • n is the number of compounding periods per year
  • t is the number of years
PV = $14,750 / (1 + 0.04/4)^(4*5)
PV = $12,088.28

3. The amount of the sales tax is $117.92.

Sales tax = purchase price * sales tax rate
Sales tax = $2,050.75 * 0.0575
Sales tax = $117.92

4. You should invest $6,702.12 now at 6% interest, compounded semiannually in order to reach your goal of $11,000 in 13 years.

PV = FV / (1 + r/n)^(n*t)

Where:

  • PV is the present value
  • FV is the future value
  • r is the interest rate
  • n is the number of compounding periods per year
  • t is the number of years
PV = $11,000 / (1 + 0.06/2)^(2*13)
PV = $6,702.12

5. Ross’s tax liability is $12,625.50.

Taxable income = adjusted gross income - standard deduction
Taxable income = $69,100 - $12,950
Taxable income = $56,150

Tax table for single filers with taxable income between $55,951 and $59,750:

Tax bracket Marginal tax rate
12% First $55,950
22% Over $55,951

Tax calculation:

Income tax = ($55,950 * 0.12) + ($56,150 - $55,950) * 0.22
Income tax = $6,714 + $411.50
Income tax = $12,625.50

6.

Loan 1:

  • Interest = $185,000 * 0.14 * (5/12) = $1,875.00
  • Maturity value = $185,000 + $1,875.00 = $186,875.00

Loan 2:

  • Interest = $185,000 * 0.14 * (7/12) = $2,625.00
  • Maturity value = $185,000 + $2,625.00 = $187,625.00

7. The amount of sales tax is $63.39.

Sales tax = purchase price * sales tax rate
Sales tax = $1,584.97 * 0.04
Sales tax = $63.39

8. The amount of simple interest is $1,445.00.

Simple

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