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Harrizon [31]
3 years ago
6

You invest $5000 in a savings account that earns 4.5% APR simple interest for 6 years. (

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
<span>A = P (1 + r/n)<span> (nt)
</span></span>A = the future value of the investment
P = (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t<span> = the number of years the money is invested</span>
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Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

\frac{2x+x-6}{2} =18

\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

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3 years ago
The lengths of the sides of an unknown quadrilateral are as follows: 11, 21, 11, 21 Which of the following could be the unknown
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3 years ago
Solve 4(4f-9)=-(2-f)
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Answer:

f = \frac{7}{15}

Step-by-step explanation:

1. 4(4f - 9) = -(2-f)               distribute the negative

2. 4(4f - 9) = -2 + f           Distribute the 4

3. 16f - 9 = -2 + f            Subtract f on both sides

4. 15f - 9 = -2                  Add 9 on both sides

5. 15f = 7                 Divide both equations by 15

6. \frac{15f}{15} = \frac{7}{15}  

f = \frac{7}{15}

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