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Bogdan [553]
3 years ago
7

What single percentage change is equivalent to a 13% increase followed by a 21% increase?

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

36.73%

Step-by-step explanation:

Let x = 100

13% increase = 100(1 + 0.13) = 100 + 13 = 113

21% increase = 113(1 + 0.21) = 113 + 23.73 = 136.73

Hence, a single percentage to arrive at 136.73 will be :

x

100(1 + x) = 136.73

100 + 100x = 136.73

100x = 136.73 - 100

100x = 36.73

x = 36.73 / 100

x = 0.3673

0.3673 * 100% = 36.73%

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If it takes 6 workers to paint a house in 48 hours how will it take 4 workers to paint the same house?
Tems11 [23]

Step-by-step explanation:

6 worker do the painting of house = 48 hours

1 worker will take = 48/6 = 8 hours

4 worker will take. = 4× 8 = 32 hours

to paint the house

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8 0
3 years ago
Read 2 more answers
Box with four balls weighs 5 pounds the same box with 10 balls weighs 11 pounds write an equation in slope intercept form for th
Nitella [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (2,-1) and (4,5),

y2 = 11

y1 = 5

x2 = 10

x1 = 4

Slope,m = (11 - 5)/(10 - 4) = 6/6 = 1

To determine the intercept, we would substitute x = 4, y = 5 and

m = 1 into

y = mx + c. It becomes

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The equation becomes

y = x + 1

The standard form is represented as

Ax + By + C = 0

y - x - 1 = 0

Multiplying through by - 1, it becomes

x - y + 1 = 0

4 0
3 years ago
What is the total lifetime cost for a loan had a principal of $5,500, an interest rate of 7.5% compounded monthly, and a duratio
Marizza181 [45]

Answer: the total lifetime cost for the loan is $11616.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years.

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed.

From the information given,

P = $5,500

r = 7.5% = 7.5/100 = 0.075

n = 12 because it was compounded 12 times in a year.

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A = 5500(1 + 0.075/12)^12 × 10

A = 5500(1 + 0.00625)^120

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7 0
3 years ago
If there are 21 students in class today how much would it cost for the class and your teacher to ride the sandia aerial tram? ra
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Answer:

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7 0
3 years ago
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Alexxandr [17]
The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.  

5² + 12² = 13²
25 + 144 = 169
169 = 169

5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)
3 0
4 years ago
Read 2 more answers
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