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3 years ago

Solve the inequality and state the answer in interval notations 3x-7 ≤ 14

Mathematics

1 answer:

emmainna [20.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

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Commission: 10 percent on first $5,000; 15% over $5,000. Find the total graduate commission on $22,000.

natta225 [31]

Based on the information about the percentage, the commission that will be paid will be $3050.

<h3>How to solve percentage</h3>

From the information given, it was stated that there's a 10 percent on first $5,000 and 15% over $5,000.

The total graduate commission on $22,000 will be:

= (10% × $5000) + (15% × $17000)

= (0.1 × $5000) + (0.15 × $17000)

= $500 + $2550

= $3050

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2 years ago

The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inch

Shtirlitz [24]

Answer:

The probability will be "0.0111".

Step-by-step explanation:

The given values are:

Mean,

$\mu$ = 79

Standard deviation,

$\sigma$ = 3.5

Now,

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

$= \frac{3.5}{\sqrt 16}$

$=0.875$

⇒ $P(\bar x > 81) = 1 - P(\bar x < 81)$

So,

= $1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ]$

= $1 - P(z < 2.2857)$

= $0.0111$

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3 years ago

Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t

svetlana [45]

The correct option is B, II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

$r = (1 + \dfrac{i}{n} )^n - 1.$

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B, II. only.

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3 years ago

A cone has a volume of 60pie cubic feet. If the radius is 2 feet what is the height of the cone

CaHeK987 [17]

Answer:h=60×2

=120

Step-by-step explanation:

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3 years ago

Write 2350 million in standard form

AleksAgata [21]

we know that

<u>Standard Form</u> is also known as Scientific Notation, is a method of writing numbers that accommodates value excessively large or small to be suitably written in Standard Decimal Notation

in this problem we have

$2,350\ million$

Remember that

$1\ million=1,000,000$

$2,350\ million=2,350*1,000,000=2,350,000,000$

<u>convert to standard form </u>

$2,350,000,000=2.35*10^{9}$

therefore

<u>the answer is</u>

$2.35*10^{9}$

8 0

3 years ago

Read 2 more answers