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Tatiana [17]
2 years ago
5

Leila runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?

Mathematics
1 answer:
konstantin123 [22]2 years ago
8 0

2 miles in 21 minutes = 8 miles in 84 minutes

6 miles in 63 minutes

please give brainliest

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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
What information do you need to solve the problem?
Otrada [13]
It depends on what kind of problem it is
8 0
3 years ago
Write an equation in slope intercept form with the slope as 1/3 and the point (-3,4)
Georgia [21]

Answer:

y = \frac{1}{3}x + 5

Step-by-step explanation:

Slope (m) = 1/3

(-3 , 4)

y - y1 = m(x -x1)

y - 4 = (1/3) (x - [-3])

y - 4 = \frac{1}{3}(x + 3)\\\\y - 4 = \frac{1}{3}x + \frac{1}{3}*3\\\\y - 4 = \frac{1}{3}x + 1\\\\      y = \frac{1}{3}x + 1 + 4\\\\      y = \frac{1}{3}x + 5

6 0
3 years ago
there are 27 children in Ms. kloot's class. when the flu was going around , about 26% of the students in the class were absent.
ValentinkaMS [17]

Answer:

About 8 children were sick

Step-by-step explanation:

The total number of children in Ms. kloot's class is 27.

The percentage of students who were absent due to the flu 26.

Number of children who were sick

=  \frac{26}{100}  \times 27

This simplifies to:

= 7.02

Therefore about 8 children were sick

8 0
3 years ago
A rectangular prism has dimensions of 1/3, 3, and 5/3 in.
julsineya [31]

Answer:

Step-by-step explanation:

The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when

s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in

5 0
2 years ago
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