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rodikova [14]
3 years ago
15

Given: x + 5 ≥ 10. Choose the graph of the solution set.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
3 0
Let's solve the inequality.  Subtract 5 from both sides.  The result will be 

<span>x  ≥ 5.  This states, "x is equal to or greater than 5."
</span>
Plot 5 on the number line, using a dark solid dot.  Then draw an arrow from that point to the right.
Xelga [282]3 years ago
3 0

Answer:

The required figure is shown in figure 1.

Use Closed circle.

Step-by-step explanation:

Consider the provided inequality.

x + 5 ≥ 10

Subtract 5 from both the sides.

x + 5 - 5 ≥ 10 - 5

x ≥ 5

Here the sign of inequality is ≥, So use closed circle.

The value of x is greater or equal to 5. That means the value of x can be any number greater or equal to 5.

So draw a straight line with a closed circle on 5 and the arrow goes to the right of 5.

Closed circle on 5 and all numbers to the right shaded.

The required figure is shown in figure 1.

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Answer:

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Step-by-step explanation:

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3 years ago
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.

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Five hundred twelve people visited a ski resort last week. The resort hopes to triple the number of weekly visitors by advertisi
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The resort wants 1,536 visitors each week.

Step-by-step explanation:

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Times three is like tripling.

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3 years ago
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