17. If the following fractions were converted to decimals, which one would result in a repeating decimal?

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).21,42,84,...Find the 7th term.

Julli [10]

Answer:

21,42,84,168,336,672, 1,344

Step-by-step explanation:

The pattern is to multiply the previous term by 2 to find the next term. The seventh term should be 1,344.

4 0

3 years ago

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Simplify. 11 3/4 - 8 1/2 A. 3 1/4 B. 3 1/3 C. 4 1/4

Rainbow [258]

Answer:

A

Step-by-step explanation:

11 3/4 - 8 1/2 = 3 1/4

5 0

2 years ago

A local salesman receives a base salary of $975 monthly. He also receives a commission of 6% on all sales over $1200. How much w

IrinaK [193]

He has to sell in a month $26616.67.

Given that a local salesman receives a base salary of $975 monthly and he also receives a commission of 6% on all sales over $1200.

A numerical assertion wherein two articulations are delivered equivalent to each other is known as an algebraic condition.

Let the Sales amount be s.

We have:

Sales over 1,200 is written as

s-1200

6% is also 0.06 as a decimal,

so according to question, we have

0.06(s - 1200) + 975=2500

Now, we will apply the distributive property a(b+c)=ab+ac, we get

0.06s-0.06×1200+975=2500

Further, we want to simplify the left-hand side, we get

0.06s-72+975=2500

0.06s+903=2500

Furthermore, we will subtract 903 from both sides, we get

0.06s+903-903=2500-903

0.06s=1597

Now, we will divide both sides with 0.06, we get

0.06s/0.06=1597/0.06

s=26616.67

Hence, he have to sell in a month if he needed to have a monthly income of $2500 is $26616.67.

Learn more about algebraic equation from here brainly.com/question/4344214

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5 0

1 year ago

100 points!!! i will award brainliest!! Lines AB, and CD are straight lines. Find x and y

Ket [755]

<O = 16 degrees vertical angles are equal

<O + 4x+90 = 180 DC is a straight line

16 +4x +90 = 180

106 +4x = 180

4x =74

x =18.5

16 +90 +2y= 180 DC is a straight line

106+2y=180

2y = 74

y= 37

Answer : y=37

x=18.5

3 0

2 years ago

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Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t

NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

the sample size is given as 100
the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

$P(| \bar{X}-\mu|$

Here converting the values in z form gives

$P(-2$

Substituting values

$P(-2$

From z table

$P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\$

So the probability that the sample mean will lie within 2 values of μ is 0.9544.

5 0

2 years ago