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3 years ago

Find the amount of time. 8. I = $2000, P = $5000, r = 8%

Mathematics

1 answer:

algol [13]3 years ago

5 0

Answer:

t = 5 years

Step-by-step explanation:

I = $ 2000

P = $ 5000

r = 8%

$I = P * \frac{r}{100}*t\\\\t =\frac{ I * 100}{P*r}\\\\t =\frac{2000*100}{5000*8}\\\\ = 5$

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Write the pair of fractions as a pair of fractions with a common denominator |

trapecia [35]

Answer:

3/10 and 2/5 = 3/10 and 4/10

1/3 and 3/4 = 4/12 and 9/12

Step-by-step explanation:

For 3/10 and 2/5

* Find the lcm (least common multiple) of the denominators which are 10 and

5. The multiples of 10 are: 10, 20, 30 etc and the multiples of 5 are: 5, 10 15,

etc. So, the lcm is 10. It is the smallest multiple that the denomitaotrs share.

* Next multiply the numerators (3 and 2) by whatever number you use to

multiply the denominator by to get 10. For 3/10, the denominator stayed the

same, so to get 10, you need to multiply 10 by 1. Do the same for the

numerator. 3 x 1 = 3. So, the first factor pair is 3/10.

* The second factor pair is 2/5, so we are still using the lcm of 10. So, what

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3 years ago

70:80 simplest form as a ratio

emmasim [6.3K]

Answer:

7 : 8

Step-by-step explanation:

70 : 80 divided by 2 =

35 : 40 divided by 5 =

7 : 8

70 : 80 divided by 10 =

7 : 8

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3 years ago

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The recipe calls for I cup of water to be mixed with 6 cups of cake mix. How much water should be mixed with 21 cups of cake mix

enot [183]

1/x=6/21

What you need to do is set it up as a proportion. 1 cup to 6 cups cake mix, x cups to 21 cups cake mix.

21/6 is 3.5

So 3.5 cups of water to 21 cups of cake mix (:

Hope this makes sense!

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3 years ago

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AnnZ [28]

Given:

The graph of an exponential function.

To find:

The function in the form of $f(x)=ab^x$ .

Solution:

The general form of an exponential function is

$f(x)=ab^x$ ...(i)

From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.

For x=0 and f(x)=4,

$4=ab^0$

$4=a(1)$

$4=a$

For x=1 and f(x)=7,

$7=ab^1$

Putting a=4, we get

$7=4(b)$

$\dfrac{7}{4}=b$

Substitute a=4 and $b=\dfrac{7}{4}$ in (i).

$f(x)=4\left(\dfrac{7}{4}\right)^x$

Therefore, the required exponential function is $f(x)=4\left(\dfrac{7}{4}\right)^x$ .

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Virty [35]

The average temperature is 58 degrees

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