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4 years ago

13

On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was h

is rate on Saturday?

1 answer:

cricket20 [7]4 years ago

5 0

11 miles per hour

60/4

=15-4 = 11

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Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Wh

Drupady [299]

Answer:

5n + 75 n = 160

Step-by-step explanation:

this is because nickels are worth 5 cents and quarters are worth 25 cents and the total value is 1.60. but since we have three times as many quarters as nickels so we do 5n + 75n = 1.60. But the problem with this is the right side of the equation is in terms of dollars while the left side is in terms of cents, so we convert both sides to cents and we get 5n + 75n = 160.(we could make both sides in terms of dollars, but that wasn't one of the options) hope this helps:)

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4 years ago

Damien need to buy 5 pints of juice

frozen [14]

Ok so what is the question..... question in detail

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4 years ago

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Please help me to solve this ∫ 1/(x + √x) dx

skad [1K]

Answer:

$\boxed{2ln (\sqrt{x} + 1 ) + c}$

Step-by-step explanation:

$\int\limits {\frac{1}{x + \sqrt{x} } } \, dx$

$= \int\limits {\frac{1}{\sqrt{x} (\sqrt{x} + 1 )} } \, dx$

$= \int\limits {\frac{2}{(\sqrt{x} + 1 )} } \, d(\sqrt{x} + 1 )$

$= 2ln (\sqrt{x} + 1 ) + c$

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3 years ago

Which of the following is not a solution for the inequality 3x +2 < 12?

DIA [1.3K]

Answer:

x = 3.5 is not a solution

Step-by-step explanation:

3x +2 < 12

Subtract 2 from each side

3x +2-2 < 12-2

3x< 10

Divide each side by 3

3x/3 <10/3

x < 10/3

x <3.3333333

Any number greater than 3.3333 is not a solutions

3.5 is not a solution

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3 years ago

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A man invested $10,000 in the bank. if the account pays 5% pa interest compounded monthly, how long would take for the man to ac

sesenic [268]

Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount (with interest)

P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

$F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63$

The time it will take is around <u>3.63 years</u>

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3 years ago