Answer: 17 years
Step-by-step explanation:
City A is currently 2,425 people in number and growing at 27 per year.
An expression to find the population in a given year assuming the year is x would be:
= 2,425 + 27 * x
= 2,425 + 27x
Applying the same logic to City B would give an expression of:
= 1,813 + 63x
Equating these together will give the year they will be the same:
2,425 + 27x = 1,813 + 63x
2,425 - 1,813 = 63x - 27x
612 = 36x
x = 612/36
x = 17 years
Answer:
Option C
23.08% markup on selling price.
Step-by-step explanation:
Given in the question,
markup percentage on cost price = 30%
To find,
markup percentage on selling price
Markup is the ratio between the cost of a good or service and its selling price.
Let suppose that cost price percentage = 100%
As we know that,
<h3>cost% + markup% = selling%</h3><h3>100% + 30% = 130%</h3>
So percent markup selling price = 30 / 130 x 100
= 23.0769
Hence, 30% markup on cost price = 23.0769% markup on selling price.
Answer:
• Gayle: 14
• Crystal: 3
Step-by-step explanation:
Let g represent the number of paperclips Gayle has. Then 42/g is the number Crystal has. The relationship between the two numbers is said to be ...
g - (42/g) = 11
Multiplying by g gives ...
g^2 -42 = 11g
g^2 -11g -42 = 0 . . . . subtract 11 g to put into standard form
To factor this, you are looking for two factors of -42 that sum to -11.
-42 = -42·1 = -21·2 = -14·3 = -7·6
You can see that -14 and 3 sum to -11, so the factoring is ...
(g -14)(g +3) = 0
g = 14 . . . . . . . . . . makes the product zero. (The g=-3 solution is extraneous.)
Gayle has 14 paperclips and Crystal has 3.
Problem 5
d = 29 = diameter
r = d/2 = 29/2 = 14.5 = radius
SA = surface area of sphere
SA = 4*pi*r^2
SA = 4*pi*(14.5)^2
SA = 841pi
SA = 841*3.14
SA = 2,640.74 square inches
To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.
2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft
<h3>Answer:
18.3 square feet (approximate)</h3>
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Problem 6
d = 10.7 = diameter
r = d/2 = 10.7/2 = 5.35 = radius
L = 22.3 = slant height
SA = surface area of the cone
SA = pi*r^2 + pi*r*L
SA = pi*(5.35)^2 + pi*5.35*22.3
SA = 147.9275pi
SA = 147.9275*3.14
SA = 464.49235
<h3>Answer:
464.49235 square cm (approximate)</h3>
Answer:
G is the answer
Step-by-step explanation:
