Investing.

How many years will it take

$8,000

to grow to

$12,500

if it is invested at

6%

(A) compounded quarterly? (B) compounded continuously?

Beginning in January, a person plans to deposit

$10

at the end of each month into an account earning

12%

compounded monthly. Each year taxes must be paid on the interest earned during that year. Find the interest earned during each year for the first 3 years.

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Part 1

The interest earned during the first year is

$enter your response here.

(Round to the nearest cent as needed.)

Part 2

The interest earned during the second year is

$enter your response here.

(Round to the nearest cent as needed.)

Part 3

The interest earned during the third year is

A corporation has a taxable income of

$7,380,000.

At this income level, the federal income tax rate is

50%,

the state tax rate is

20%,

and the local tax rate is

10%.

If each tax rate is applied to the total taxable income, the resulting tax liability would be

80%

of taxable income. However, it is customary to deduct taxes paid to one agency before computing taxes for the other agencies. Assume that the federal taxes are based on the income that remains after the state and local taxes are deducted, and that state and local taxes are computed in a similar manner. What is the tax liability of the corporation (as a percentage of taxable income) if these deductions are taken into consideration? Construct a mathematical model. Use Gauss-Jordan elimination to solve the model.

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Part 1

The tax liability of the corporation is

enter your response here%

of the taxable income.

(Round to the nearest hundredth as needed.)

The following message was encoded using the

44

encoding matrix B=

	2	3	2	3
	1	2	2	1
	1	1	0	1
	2	2	1	3

. Decode this message.

109	74	27	85	40	27	13	31	154	73	58	139
93	70	18	61	87	59	23	69	22	13	9	18

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Part 1

To decode the encoded message requires using the multiplicative inverse of the encoding matrix,

B1.

Use technology to compute the inverse of B.