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2 years ago

9

Ms. Clark earned $32,550 in her third year as a banker and $34,150 in her seventh year. How much did she make in her tenth year?

Assume that her yearly salaries form an arithmetic sequence.

1 answer:

alexandr1967 [171]2 years ago

5 0

Answer:

$35,350 with an increase of $400 a year

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For right triangle ABC, find the sine ratio of angle θ.

Ket [755]

The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle showing in a picture.

As we know, the sin is the ratio to opposite to the hypotenuse.

Sinθ = 4/5

Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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2 years ago

Compute the total cost of the meal to the nearest cent: meal costs $24.62 plus 6% tax and 15% tip.

matrenka [14]

The total cost of the meal is $30.02

Step-by-step explanation:

Given,

Cost of meal = $24.62

Tax = 6%

Tax amount = 6% of cost of meal

$Tax\ amount=\frac{6}{100}*24.62\\Tax\ amount=\frac{147.72}{100}\\Tax\ amount=\$1.48$

Cost after sales tax = 24.62+1.48 = $26.10

Tip = 15%

Tip amount = 15% of cost after sales tax

$Tip\ amount=\frac{15}{100}*26.10\\\\Tip\ amount=\frac{391.5}{100}\\Tip\ amount=\$3.92$

Total cost of meal = Cost after sales tax + Tip amount

Total cost of meal = 26.10+3.92 = $30.02

The total cost of the meal is $30.02

Keywords: percentage, sales tax

Learn more about percentages at:

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7 0

2 years ago

The graph of an exponential function passes through the point (0,15) and (1,10). What is the equation of the exponential functio

Vilka [71]

Answer:

$y=15(\frac{2}{3})^x$

Step-by-step explanation:

we know that

The equation of a exponential function is of the form

$y=a(b^x)$

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem we have

$a=15$ ----> the y-intercept is given

substitute

$y=15(b^x)$

we have the other ordered pair (1,10)

substitute the value of x and the value of y and solve for b

$10=15(b^1)\\10=15b$

$b=\frac{10}{15}=\frac{2}{3}$

substitute

$y=15(\frac{2}{3})^x$

see the attached figure to better understand the problem

7 0

2 years ago

A bracelet is now reduced to £600. This is 80% of the original price.

Tems11 [23]

Answer:

the original is 1080.

Step-by-step explanation:

80%×600=480

480+600=1080

5 0

2 years ago

Read 2 more answers

Please answer- what is the length of BW? ANSWER DIRECTLY NO LINK ( will give brainlist to whoever answers)

Yuki888 [10]

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

4 0

2 years ago