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elena-14-01-66 [18.8K]
3 years ago
9

Write the inequality that the graph represents. ​

Mathematics
1 answer:
zalisa [80]3 years ago
3 0
Y is less than or equal to 3.
The filled dot means or equal.
The line to the left of the number line is less.
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Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

D = \frac{72}{9} = 8.

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

A = 2P

r = 0.09

The interest is compounded anually, so n = 1

A = P(1 + \frac{r}{n})^{nt}

2P = P(1 + \frac{0.09}{1})^{t}

2 = (1.09)^{t}

Now, we apply the following log propriety:

\log_{a} a^{n} = n

So:

\log_{1.09}(1.09)^{t} = \log_{1.09} 2

t = 8.04

The exact doubling time of this amount is 8.04 years.

4 0
3 years ago
How to find out L C M of common division method ​
stealth61 [152]

\huge\bigstar\:\Huge\tt\underline\blue{ANSWER}

To find Least Common Multiple by using Division Method we need to follow the following steps.

Step 1: Write the given numbers in a horizontal line, separating them by commas.

Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.

<h3>HOPE IT HELPS YOU...</h3>
4 0
3 years ago
Read 2 more answers
Help again thank you
Anarel [89]
Rational:5,737…..
Irrational:9
7 0
3 years ago
The y-intercept repesents the solutuions of a polynomial true or false
RSB [31]
Answer: False

The x intercepts represent the roots or solutions of a polynomial equation. It is possible to have more than one solution.
7 0
3 years ago
Pls help me with this multiple choice ! thank u
Mrrafil [7]

Answer:

The answer will be C x=14 and y=7

Step-by-step explanation:

Hope this HElped

8 0
3 years ago
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