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3 years ago

5

Solve the compound inequality. –1 < 4m + 7 ≤ 11 A. −14

1 answer:

ankoles [38]3 years ago

4 0

This is what I got :-(

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If a triangle has at least two congruent sides, it is an isosceles triangle. An equilateral triangle has three congruent sides.

Bingel [31]

B. An equilateral is an isosceles triangle

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3 years ago

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Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after

Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

$Amount = P (1+\frac{r}{4})^{4t}$

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

$= \frac{5}{100}$

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

$Amount = 6000(1+\frac{0.05}{4})^{4\times 3}$

$Amount = 6000(1+0.0125)^{12}$

$Amount = 6000\times 1.16075452$

$Amount =\$ 6964.53\ (Approx)$

Therefore the amount becomes $6964.53 after 3 years .

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3 years ago

suppose you earn $15 per hour working part time as a carpenter. this month, you want to earn at least $950. how many hours must

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You must work 64 hours this month.

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3 years ago

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A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than c

disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

$H_0:\mu = 16$

$H_a:\mu>16$

The test statistics will be:

⇒ $z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }$

By putting the values, we get

⇒ $=\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }$

⇒ $=\frac{\frac{0.06}{0.24} }{\sqrt{96} }$

⇒ $=2.45$

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ $p-value< \alpha$

Thus the above is the correct answer.

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3 years ago

Find each quotient. Write in simplest form. keep answer as fraction - not decimal

kirill [66]

So we are given the expression:

$\frac{mn^{2}}{4}$ ÷ $\frac{m^{2}n}{8}$

When we divide fractions, we must flip the second term and change the sign to multiplication:

$\frac{mn^{2}}{4} *\frac{8}{m^{2}n}$

And then we multiply across:

$\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}$

Then we can break apart all of the like variables for simplification:

$\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}$

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

$\frac{8}{4} =2$

$\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}$

$\frac{n^{2}}{n}=n^{1}=\frac{n}{1}$

So then we multiply all of these simplified parts together:

$\frac{2}{1}*\frac{1}{m}*\frac{n}{1} =\frac{2n}{m}$

So now we know that the simplified form of the initial expression is: $\frac{2n}{m}$ .

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2 years ago