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JulsSmile [24]
3 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]3 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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Answer:

102

Step-by-step explanation:

The least common multiple of 6 and 17

For us to determine the L.C.M of 6 and 17,

First find the prime factors of 6 and 17

Prime Factor of 6

6 = 2 × 3

Prime factor of 17

17 = 1 × 17

Secondly;

Multiply all the factors together to find the L.C.M:

L.C.M = 1 × 2 × 3 × 17

L.C.M = 102

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3 years ago
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Answer:

6

Step-by-step explanation:

g(x) = x2 - 4

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13. In the triangle below, the sides have length x + 3, 3x - 1. and 4x. Determine the range of possible
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Answer:

Hence as long as x > 2/3, we can form a triangle from the three given sides.

Step-by-step explanation:

Given:

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From the length of the 2nd side 4x, we know that x > 0

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The square root and cube root identities are proved.

According to the statement

we have to find that the use of the square root identity (x − y)2 = x2 − 2xy + y2

And use of cube root identity a3 + b3 = (a + b)(a2 − ab + b2).

So, For this purpose, we know that the

A. Let us assume the two conditions.

So,

2x + 3y = 6  -(1)

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So, Multiply 4 with (1) and 2 with (2)

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here y is -4.

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Then let us assume the number 8 and 9 then

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So, The square root and cube root identities are proved.

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