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2 years ago

9

For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t.

1 answer:

tatyana61 [14]2 years ago

6 0

To solve for this question using the formula, plug in your known values where r is the rate (2.3%), P is the principal amount ($35,000), and t is the time in years. However, keep in mind when you plug the percent rate into the formula, you must first convert it to a decimal which would be 0.023. Now that you have this, plug your values into the equation:
A=35,000(1+0.023)^20
When simplified, you should get a result of about $55,154.47 or the second answer choice.

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Answer:

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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 = $\frac{x}{2} -3$

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

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

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

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<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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