0.05% of all tax returns filed electronically contain errors, but 20% of all tax returns filed manually contain errors. If 3.3 million tax returns are filed each way, how many more manually filed returns containing errors will there be than electronically filed returns containing errors?

a.

330,825

b.

643,500

c.

321,750

d.

658,350

Respuesta :

Answer: d. 658,350

Step-by-step explanation: A total of 3,300,000 of tax returns are filed.

When filed electronically, 0.05% of all the returns contain errors, which means:

3,300,000 * [tex]\frac{0.05}{100}[/tex] = 1650

When filed manually, 20% contain error:

3,300,000 * 0.2 = 660000

The difference of the number of tax returns that contain error between manually and electronically filed is

660,000 - 1,650 = 658,350

There will be 658,350 tax returns filed manually more than electronically.

The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.

Number of manually filed return:

Using this formula

Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)

Let plug in the formula

Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)

Number of manually filed returns=660,000-1650

Number of manually filed returns=658,350

Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.

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