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ahrayia [7]
2 years ago
12

Mr. Robins earns a commission on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned

$31.29. What is Mr. Robins’ commission rate? (Please show a little work)
Mathematics
1 answer:
Ulleksa [173]2 years ago
5 0

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

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An employee at a clothing store makes a base salary of $2,800 a month plus 6.75% of the sales that they make. The function E(s)=
Gennadij [26K]

Answer:

3,340$

Step-by-step explanation:

e(8000)=.0675(8000)+2800

e(8000)=540+2800

e(8000)=3340

4 0
3 years ago
Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
Select all the rates that are unit rates.
Nataly_w [17]

Answer:

\frac{2/3}{1} and \frac{3}{1}

Step-by-step explanation:

Options

\frac{1}{1/3}     \frac{2/3}{1}     \frac{2}{3}     \frac{3}{1}     \frac{1}{9}

Required

Select the unit rates

Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)

For clarity:

If \frac{a}{b} represents unit rate, then b = 1

Having said that:

Only \frac{2/3}{1} and \frac{3}{1} satisfy the condition of unit rates; others are not because they have a denominator other than 1

3 0
2 years ago
HELP PLEASEE!!!!
ss7ja [257]

Answer:

See below ~

Step-by-step explanation:

\textsf {Each of the steps has been reasoned below :}

\implies \textsf {3x - 2 = 4 (Given)}

\implies \textsf {3x = 6 (Addition Property of Equality)}

\implies \textsf {x  = 2 (Division Property of Equality)}

\textsf {In the second step, the property has been applied}\\\textsf {by adding 2 to each side of the equation.}

\textsf {In the third step, the property has been applied by dividing 3 on each side.}

3 0
2 years ago
Read 2 more answers
Draw the following scenario using a vertical number line.
nekit [7.7K]
You would move your point 24 up from the starting point then move it three down from the 24 so if you start at zero go to 24 then move it down to 21.

3 0
3 years ago
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