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3 years ago

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A mechanic purchased two motor bikes for a total of 15,000 and made a profit of 10% when he sold both. He bought the first one f

or $5000 and sold that for a profit of 20%. How much did he lose or gain on the second one as a percentage? ( with explanation )

1 answer:

Sloan [31]3 years ago

4 0

Answer:

16

Step-by-step explanation:

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FromTheMoon [43]

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12 feet of flooring cost $51

Step-by-step explanation:

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3 years ago

Can somebody help me? -2-7p<26

LekaFEV [45]

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Step-by-step explanation:

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3 years ago

A colony of cats were introduced into a reserve. The number of cats present at timet(measured in years since the colony was intr

RUDIKE [14]

ANSWER:

a) 12 cats

b) 232

c) 246

d) 14

EXPLANATION:

Given the expression for number of cats C present at time t:

$C\text{ = }\frac{12.31}{0.05+0.56^t^{}}$

a) To find the number of cats initially on the reserve, let t = 0

Therefore, substitute 0 for t in the equation

$\begin{gathered} C\text{ = }\frac{12.31}{0.05+0.56^0} \\ \text{ = }\frac{12.31}{0.05\text{ + 1}} \\ \text{ = }\frac{12.31}{1.05} \\ =\text{ }11.72 \end{gathered}$

Number of cats initially on the reserve are approximately 12 cats

b) C(10):

$\begin{gathered} C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}\text{ = 232.12} \\ \end{gathered}$

C(10) = 232

Here, C(10) means that C is a function of 10. This means at time = 10 years

C)Using function notation to express the number of cats present after 17 years, we have:

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}$

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}\text{ = }245.94$

Therefore, number of cats present after 17 years are approximately 246 cats

C(17) = 246 cats

d) In this case, first find the number of cats present in the 10th year and subtract from the number of cats present in the 17th year.

$C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}=\text{ }232.12$

From question C above, we know C(17) = 246

Therefore, the increase in cat population to be expected from the 10th year to the 17th year is:

C(17) - C(10) = 246 - 232 = 14 cats

7 0

1 year ago