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Dominik [7]
4 years ago
8

The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec

tangle? A 2 cm B 6 cm C 8 cm D 10 cm
Mathematics
1 answer:
tangare [24]4 years ago
4 0
The answer is B: 6 cm. You can use guess-and-check method, and plug the possible different answers into the equation x(x+6)=72, x stands for the width.
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Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t
murzikaleks [220]

Answer: The correct option is C

Step-by-step explanation:

You begin a job with an annual salary of $32,900

Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.

This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as

Sn = [a(r^n - 1)] / r - 1

Where

Sn = sum of the nth terms of the series

a = the first term(salary of the first year

r = common ratio

n = number of years.

From the question,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649224 - 1)] / 0.055

S15 = [32900 × 1.23247649224] / 0.055

S15 = $737245

7 0
3 years ago
Albie's total income is $695.25 in a week
ikadub [295]

Answer:

Step-by-step explanation:

7.5/100= .075

$580000 x .075 = $43,500 commission

5 0
3 years ago
If a number id divided by eleven, the solution is two-fifths. What is the number
miss Akunina [59]
The answer is 4 and four-fifths.
8 0
3 years ago
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top o
Anuta_ua [19.1K]

Answer:

7.1

Step-by-step explanation:

write pythagorean theorem x^{2} + x^{2} = 10^2

2x^2 = 100

divide 2 both side:

x^{2} = 50

\sqrt{x^2} = \sqrt{50}

x = \sqrt{50}

x = 7.07106781

round to nearest tenth:

x = 7.1

8 0
3 years ago
Which expression would represent the cost of one CD, if the total cost for three of them is $362
Fiesta28 [93]

Answer:

One CD would've been 120.67

Someone correct me if I'm wring please

8 0
3 years ago
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