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3 years ago

7

Cameron runs in a 7 - mile race. He stops for water at ever 1/3 miles marker, including at the end of the race. How many time do

es Cameron stop water?

2 answers:

morpeh [17]3 years ago

8 0

He stops 21 times, because if you divide every mile into 3, then you times 3 by 7 and get 21

butalik [34]3 years ago

3 0

22 if you count the time after he was done with the race

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Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

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3 years ago

if x stands for am number what is the mathematical phrase that represents three more than the number

vlada-n [284]

Answer:

x + 3

Step-by-step explanation:

if x represents a number then 3 more than the number means addition of 3 to the number ( x )

so, required phrase is ;

=》x + 3

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3 years ago

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Answer:

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Step-by-step explanation:

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g100num [7]

We are told that the children from a football club are put into rows in the sports hall. When put into rows of 9 children there are 2 children left over. When put into rows of 12 children there are 2 children left over.

We will find least number of children in football club by finding LCM of 9 and 12.

Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63,...

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...

We can see that least common multiple of 9 and 12 is 36.

We are told that 2 children left over from putting them into 9 and 12 children per row. To find least number we will add 2 to 36.

$9\cdot4+2=36+2=38$

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$\text{Least number of children in football club}=36+2=38$

Therefore, the least number of children in the football club is 38.

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3 years ago

Rounding or compatible numbers for 87 + 34

riadik2000 [5.3K]

87 ⇒ 90

34 ⇒ 30
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