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3 years ago

Pls help me i need this for my test that is do today pls help!!

Mathematics

1 answer:

vampirchik [111]3 years ago

5 0

Answer:

1 3/5

Step-by-step explanation:

just divide 8 by 5, which goes into it one time to get your 1.. it has 3 left over and the 5 remains the same. thus your answer is 1 3/5

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What is 4,000+100+80+5 in word form?

Sphinxa [80]

Answer:

Step-by-step explanation:

it is four thousand one hundred eighty five

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3 years ago

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Alister’s father is 120% of Allister’s height of his father measures 180 cm how tall is Allister

masya89 [10]

Divide the fathers height by the percentage:

180/ 1.2 = 150

Allister is 150 cm tall

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3 years ago

The product of two rational numbers is _________rational.

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Sometimes

Choose 1st

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4 years ago

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The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

5 0

3 years ago

Maia mixed a batch of punch for the class party. Her recipe called for 4 2/5 cups

siniylev [52]

You just have to add all the amounts of the ingredients.
4 2/5 + 3 1/2 + 12 3/4

You can first add all the whole numbers
4 + 3 + 12 = 19

Then, you can add all the fractions
2/5 + 1/2 + 3/4

To add all the fractions, you have to use the LCD. The LCD is 20. So, divide 20 with the denominator of each fraction and multiply the result with the numerator. The denominator of all fractions would now be 20.

So,
(2x4 + 1x10 + 3x5) / 20
(8 + 10 + 15)/20
33/20

The answer is an improper fraction. We divide 33 by 20 and get the remainder.
33/20 = 1 13/20

We have a whole number of 1, we add this to the sum of the whole numbers we got earlier.
19 + 1 =20

Finally, we put together the whole number and the remainder (fraction)
20 13/20.

Therefore, the recipe can make 20 1-cup servings. The remaining 13/20 can't make a full-sized cup.

8 0

4 years ago