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3 years ago

3 hours to ride 37.5 kilometers. What is the speed?

Mathematics

1 answer:

elixir [45]3 years ago

4 0

Speed=distance/time.
So 37.5/3= 12.5.
The answer is 12.5 kilometres per hour (km/h).

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If Alice would to leave her house around 6:30am and get back about 7:15am, but its a 21 mintue walk to and back. Will she make i

Naddik [55]

Before 7:15 is the answer.

6:30 + 21 minutes + 21 minutes puts the time back at 7:12.

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4 years ago

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A number is multiplied to itself the product is 49/9 find the number

Usimov [2.4K]

Answer:

the number is 20

Step-by-step explanation:

let 'n' represent the number

2n + 9 = 49

2n = 40

n = 40/2 = 20

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3 years ago

Capital Value Find the capital value of an asset that generates $7200 yearly income if the interest rate is as follows.

olganol [36]

a. An asset that generates $7200 yearly income if the interest rate 5% compounded continuously, then its capital value is $140433.002

b. An asset that generates $7200 yearly income if the interest rate 10% compounded continuously, then its capital value is $68460.59

Step-by-step explanation:

For continuously compound interest

$A = P \times e^{r t}$ ---------------> eq.1

Where

P = principal amount (initial investment)

r = annual interest rate (as a decimal)

t = number of years

A = amount after time t.

Let’s solve the equation

Where,

P is unknown

A = P + 7200 (asset after 1 year) ---------------> eq. 2

Case A:

$r=\frac{\text {interest rate}}{100}=\frac{5}{100}=0.05$

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

$P \times e^{(0.05)(1)}=P+7200$

$P \times e^{0.05}-P=7200$

$P\left(e^{0.05}-1\right)=7200$

$P(1.05127-1)=7200$

$P(0.05127)=7200$

$P=\frac{7200}{0.05127}=\$140433.002$

Case B:

$r=\frac{\text {interest rate}}{100}=\frac{10}{100}=0.10$

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

$P \times e^{(0.10)(1)}=P+7200$

$P \times e^{0.10}-P=7200$

$P\left(e^{0.10}-1\right)=7200$

$P(1.10517-1)=7200$

$P(0.10517)=7200$

$P=\frac{7200}{0.10517}=\$68460.59$

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3 years ago

If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?

san4es73 [151]

Answer:

Step-by-step explanation:

You are given the function

$f(x)=\dfrac{x}{2}+8$

To find the value of the function f(x) at point x=a, you have to substitute a instead of x into the function expression.

In your case, you have to evaluate f(x) when x=10. Substitute 10 instead of x into the function expression:

$f(10)=\dfrac{10}{2}+8=5+8=13$

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3 years ago

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A snail moves 1/40 of a mile in 5/6 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour

mr Goodwill [35]

Solution:

As per the problem

A snail moves 1/40 of a mile in 5/6 of an hour.

We have been asked to find how far, in miles, does it move in one hour?

Since the snail moves 1/40 of a mile in 5/6 of an hour.

So the snail will moves $\frac{1}{40}*6=\frac{3}{20}$ of a mile in $\frac{5}{6}*6=5$ hours.

So snail moves $\frac{3}{20}*\frac{1}{5}=\frac{3}{100}=0.03$ miles in 1 hour.

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3 years ago

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