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natita [175]
3 years ago
11

Suppose $500 is invested in an account at an annual interest rate of r =5.5%, compounded continuously.

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

Step-by-step explanation: shown in the attachment.

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Find all real solutions of the equation by completing the square. (Enter your answers as a comma-separated list.) x2 − 4x − 8 =
Nat2105 [25]

Answer:

After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46

So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

5 0
3 years ago
Which of the following is the product of the rational expression shown below
wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

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

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

\frac{x^{2} -3^2}{x^{2} -2^2}

Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
3 years ago
Your gross income is $56k and the standard deduction is $12,200, how much do you owe in taxes?
Neko [114]
8 percent is the answer
5 0
3 years ago
5 kilograms of coffee are going to be shared equally among 4 people.
kherson [118]

Step-by-step explanation:

I'm not sure if this will help but to find out how much coffee 4 people would need you would have to divide 4 into 5 which is 1 1/5

EQUATION-- 4/5= X

I chose that because / means divide 5 into 4 would give you x we don't know what x is until we actually do the problem

Even if im not correct I hope it helped a bit

5 0
2 years ago
Given the function ƒ(x )=x^2 - 5, find ƒ(7).<br><br> 49 <br><br> 2 <br><br> 44
rosijanka [135]
Substitute the 7 in anywhere there is an x.
49-5=44
4 0
3 years ago
Read 2 more answers
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