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2 years ago

QUESTION 20

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

5 0

The rate of interest required to achieve the conditions set forth is 7.1773%.

<h3>What is the interest rate?</h3>

The interest rate is the rate at which the investment increases. The formula that can be used to determine interest rate is:

g = (FV / PV)^(1/N) - 1

Where:

FV = future value = $32,000
PV = present value = $8000
n = number of years

4^(1/20) - 1 = 7.1773%

To learn more about interest rate, please check: brainly.com/question/26164549

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hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and

Mariulka [41]

Given:

The equation is,

$2\log _3x-\log _3(x-2)=2$

Explanation:

Simplify the equation by using logarthimic property.

$\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{ \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}$

Simplify further.

$\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}$

Solve the quadratic equation for x.

$\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}$

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

For (x - 3) = 0,

$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0

1 year ago

The Hydro water department has a monthly service charge of $13.90 and a volume charge of $1.45 for every 100 cubic feet of water

erik [133]

Answer: A

Step-by-step explanation:

In this question, you can disregard the initial $13.90 cost because we're only looking for an INCREASE in price. If the Johnson family used 200 cubic feet MORE of water, we need to multiply 2 * 1.45 which gets us 2.90. We multiply 2 by 1.45 because 200 represented in x is 2, since x is represented in hundreds.

7 0

4 years ago

Thanks for the help!

Bogdan [553]

Hope you could understand.

If you have any query, feel free to ask.

5 0

3 years ago

explain the relationship between a strategy such as number sense and a written method such as partial products or area models fo

aleksandrvk [35]

There are a lot of differences between these two.

Step-by-step explanation:Firstly, strategy are all in mind and not on paper while written methods are solid proofs that are written on paper. Strategies may or may not work out with respect to the situation, while Written method will always work. They are actually written after testing their reliability. As far as you multiply decimal numbers these will go in vain and you have to use your mind to solve these

8 0

3 years ago

Read 2 more answers

Copy and complete the table on the previous page into a Word document. Title your journal "Pythagorean Theorem". Discuss any rel

scoundrel [369]

In trigonometry, the right triangle is considered a special triangle because there are derived equations solely for this type. It is really convenient when dealing right triangle problems because it is more simplified courtesy of the Pythagorean theorems. It is derived that the square of the hypotenuse (longest side of the triangle) is equal to the sum of the squares of the other two legs. In equation, that would be c² = a² + b². For this activity, all you have to do is find the sum of the squares in columns a and b. Then, see if this is equal to the square of the values in column c. Let's calculate each row:

Row 1:
3² + 4² ? 5²
25 ? 25
25 = 25

Row 2:
5² + 12² ? 13²
169 ? 169
169 = 169

Row 3:
9² + 12² ? 15²
225 ? 225
225 = 225

Therefore, all of the given values conform to a² + b² = c².

7 0

4 years ago