Based on the graph, which of the following represents a solution to the equation?

Artyom0805 [142]

Im finding it...

Step-by-step explanation:

6 0

3 years ago

What is the rule of 72 used to determine? A. the approximate time it takes an investment to triple in value B. the approximate t

ValentinkaMS [17]

Answer:

Step-by-step explanation:

This can be derived using the formula to calculate future value of an amount which is given as:

FV=PV(1+i)^{n}

Where

FV is the future value

PV is the present value

i is the compound interest rate

n is the time period

To calculate how much time it takes to triple an amount, let's substitute $1 in place of PV and $3 in place of FV in the above equation.

3=(1+i)^{n}

Taking natural log on both sides, we get

log_{e} 3= n log_{e}(1+i)

n={\log_{e}3}/{log_{e}(1+i)}....................(1)

Using some log magic, this formula can also be written as

n=log_{(1+i)}3................(2)

Both equations (1) and (2) work fine.

(b)

In order to derive a rule 72 style formula start from equation (1) above. In that formula, we can say that for small values of interest rate,

log_{e}(1+i) ~ i ( This is a property of log)

Substituting this is equation (1), we get

n=log_{e}3/{i}

n={1.098}/{i}

Since, we want to use i as an integer and not as a percentage (so, 3% will be used as 3 and not 0.03), we multiply the RHS by 100

n={109.8}/{i}

and then to make it cleaner, we round off 109.8 to 110.

n={110}/{i}

Now, many times, people round this 109.8 off to 114. This is to make the calculations a little bit easier as 114 is number that has a lot of factors. So, if the numerator is rounded off to 114, the formula becomes

n={114}/{i}

6 0

3 years ago

Read 2 more answers

Write 25/6 as a mixed number.

Jet001 [13]

Answer:

4 1/6

Step-by-step explanation:

Set up the division problem in long division format.

6/25

Divide

25 by 6

3 0

3 years ago

Read 2 more answers

Pls I need help

Lelu [443]

(1) A part to whole ratio compares different parts of the group to each others is true.

(2) the ratio 3:1 can also be written as 1 to 3 is false.

(3) A part to whole ratio can be written as a fraction, a decimal, and a percent is true.

(4) two term and three term ratios compare quantities measures in different units is false.

(1) A ratio has two parts, a numerator and a denominator.

Example: if we have 2 oranges and 3 apples in a fruit basket.

fruits ratio = 2:3

total fruits ratio = 5

fraction of orange = $\frac{2}{5}$

fraction of apple = $\frac{3}{5}$

This ratio compares a part of each fruit to the whole

Thus, a part to whole ratio compares different parts of the group to each others is true.

(2) The ratio 3:1 is written as $\frac{3}{1} =3$ .

Thus, the ratio 3:1 can also be written as 1 to 3 is false.

(3) the ratio 2:3, has the following fractions, decimal and percentage with respect to whole ratio;

fraction of 2 = $\frac{2}{5}$ , decimal = 0.4, percentage = 40%

fraction of 3 = $\frac{3}{5}$ , decimal = 0.6, percentage = 60%

Thus, a part to whole ratio can be written as a fraction, a decimal, and a percent is true.

(4) the units of the quantities compared have to be the same in order to find their ratios.

Thus, two term and three term ratios compare quantities measures in different units is false.

Learn more here:brainly.com/question/2284943

6 0

3 years ago

22. MULTIPLE CHOICE What number is 0.02% of 50? (Skills Review Handbook) (A) 0.01 (B) 0.1 (C) 1 (D) 100

emmainna [20.7K]

Answer:

$x = 1$

Then the answer is C

Step-by-step explanation:

1) Set a linear equation

$\frac{2}{100} = \frac{x}{50}$

2) Cross multiply

$100x = 2 \times 50$

3) Multiple the right side

$100x = 100$

4) Divide both side by 2

$\frac{100x}{100} = \frac{100}{100}$

5) Solving the linear equation

$x = 1$

The answer is (C)

7 0

3 years ago