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JulsSmile [24]
2 years ago
13

In 2019, Tessa earned $32000. (a) She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018. [2] (b) In

2020, Tessa's earnings increased by 7%. Work out her earnings in 2020.
Mathematics
1 answer:
Illusion [34]2 years ago
6 0

Answer:

$7,680

$34,240

Step-by-step explanation:

Amount Tessa earns in 2019 = $32000

a. She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018.

Percent of tax = 24%

Amount of tax paid = 24% of $32,000

= 24/100 * 32,000

= 0.24 * 32,000

= $7,680

Amount of tax paid = $7,680

b. Tessa's earnings increased by 7%. Work out her earnings in 2020.

Percentage increase in earnings = 7%

Amount of increase in earnings = 7% of $32,000

= 7/100 * 32,000

= 0.07 * 32,000

= $2,240

Amount of increase in earnings = $2,240

Total earnings in 2020 = Amount Tessa earns in 2019 + Amount of increase in earnings

= $32,000 + $2,240

= $34,240

Total earnings in 2020 = $34,240

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<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

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Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

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More can be learned about the z-distribution at brainly.com/question/25890103

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