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givi [52]
3 years ago
7

If I have 500 and have a 6% annual interest how long will it take to get 2000

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
4 0

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132

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On Monday billy spent 4 1/4 hours studying.On Tuesday he spent another 3 5/9 hours studying what is the combined time he spent s
Amanda [17]

Answer:

7\frac{29}{36}\ hours

Step-by-step explanation:

Given:

Time spent on Monday (M) = 4\frac{1}{4}\ hours

Time spent on Tuesday (T) = 3\frac{5}{9}\ hours

Now, the total combined time spent on study is equal to the sum of the times spent on Monday and Tuesday.

So, we need to add both the times to get the combined time spent on studying.

The combined study time is given as:

Total time spent = Time spent on Monday + Time spent on Tuesday

Total\ time=4\frac{1}{4}+3\frac{5}{9}\\\\Total\ time = \frac{4\times 4+1}{4}+\frac{3\times 9+5}{9}\\\\Total\ time = \frac{17}{4}+\frac{32}{9}\\\\\textrm{Taking LCD of 9 and 4 as 36, we get:}\\\\Total\ time = \frac{17\times 9}{4\times 9}+\frac{32\times 4}{9\times 4}\\\\Total\ time = \frac{153}{36}+\frac{128}{36}\\\\\textrm{Since the denominators are same, we add the numerators.}\\\\Total\ time = \frac{153+128}{36}\\\\Total\ time = \frac{281}{36}\ hours

Divide 281 by 36. The quotient is the whole number part, the remainder is the numerator part and the denominator remains the same.

So, on dividing, we get 7 as quotient and 29 as remainder. So, converting to mixed fractions, we get:

Total\ time = 7\frac{29}{36}\ hours

Therefore, the  the combined time he spent studying is 7\frac{29}{36}\ hours

6 0
4 years ago
(Pls help)sally states that the equation g(x)= x^3 + 10^2 - 3x represents a quadratic function. Explain why she is incorrect.​
pentagon [3]
SOLVE THE EQUATIONS

8 0
3 years ago
I need help pls step by step i will really appreciate pls also l will mark you the brainly if you did !
agasfer [191]

Answer:

1. 2

2.3\sqrt{5}

3.8\sqrt{6}

4.2.5\sqrt{10}

Step-by-step explanation:

Remember that \frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }, and \frac{a}{\sqrt{b}}=\frac{a}{\sqrt{b}}*\frac{\sqrt{b}}{\sqrt{b}}=\frac{a\sqrt{b}}{b}

1. \frac{\sqrt{48}}{\sqrt{12} }= \sqrt{\frac{48}{12} }=\sqrt{4}=2

2. \frac{15}{\sqrt{5} }=\frac{15}{\sqrt{5} }*\frac{\sqrt{5}}{\sqrt{5} }=\frac{15\sqrt{5} }{5}}=3\sqrt{5}

3. \frac{48}{\sqrt{6}}= \frac{48}{\sqrt{6}}* \frac{\sqrt{6}}{\sqrt{6}}= \frac{48\sqrt{6}}{6}=8\sqrt{6}

4. \frac{25}{\sqrt{10}}=\frac{25}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}=\frac{25\sqrt{10}}{10}=2.5\sqrt{10}

4 0
3 years ago
Find the values of x1 and x2 where the following two constraints intersect.
Arte-miy333 [17]

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Hi!

As you can see in the figure, the point you are looking for is the intersection of two lines.

The intersection point is found solving this system of linear equations (the point must satisfy both equations):

9x_1 +7x_2=57\\4x_1 + 6x_2 = 13

You can solve it, for example, by the method of substitution:

\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)

Then plug x1 into equation 2, and solve for x2:

\frac{4}{9}(57-7x_2) + 6x_2 = 13\\\text{doing the algebra you get:}\\x_2 = \frac{-111}{26}

Then you use the value of x2 to get x1:

x_1 = \frac{1}{9}(57 - 7x_2)= \frac{1}{9}(57 + 7*\frac{111}{26}) = 251/26\\

4 0
4 years ago
Which property of equality would you use to solve the equation 2x=5
Nina [5.8K]

Answer:

Step-by-step explanation:

To find the value of x, we'd divide both sides of this equation by 2, obtaining:

x = 5/2.  If equals are divided by equals, the quotients are equal.

7 0
4 years ago
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