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andreev551 [17]
3 years ago
11

An office administrator earns $16 an hour, and she works 48 hours a week. What is her weekly wage?

Mathematics
2 answers:
Dvinal [7]3 years ago
7 0
If she works 48 hours per week and she earns 16 dollars per hour, we can find the weekly wage by multiplying 48 by 16. This gets us a weekly wage of $768 (Choice A).

:)
7nadin3 [17]3 years ago
4 0
$16 x 48 = $480 + $240 + $48
= $768
Therefore, her weekly wage is $768.
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Billy makes $5 a week in allowance plus $4 for each lawn that he mows.
Ad libitum [116K]

Answer:

$15 < $4n + $5

Step-by-step explanation:

We know that Billy needs to make more than $15 between his allowance and the lawns that he mows. This means our inequality should include $15<. Also, since Billy will make $4 per lawn, that means we need to multiply $4 by the number of lawns he needs to mow, n: $4n. So far we have the following: $15<$4n. Next, we know that he makes $5 each week, on top of what he makes mowing each law. This means we need to add the $5 to the $4n. When we put all of these pieces together, we will get the following inequality: $15<$4n+$5

7 0
3 years ago
What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?
loris [4]

Answer:

Option A is correct that is 1,\frac{1}{2},\frac{1}{4}

Step-by-step explanation:

We have been given a formula a_n=\frac{1}{2}\cdot a_n-1

a_1=1

We will put values of n in a_n=\frac{1}{2}\cdot a_n-1

when n=2 we get

a_2=\frac{1}{2}\cdot a_2-1

\Rightarrow a_2=\frac{1}{2}\cdot a_1

\Rightarrow a_2=\frac{1}{2}\cdot 1

\Rightarrow a_2=\frac{1}{2}

when n=3

a_3=\frac{1}{2}\cdot a_2

\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}

\Rightarrow a_3=\frac{1}{4}

Therefore, Option A is correct that is 1,\frac{1}{2},\frac{1}{4}

6 0
3 years ago
Read 2 more answers
in your class 7 students do not receive weekly allowance, 5 students receive $3, 7 students receive $5, 3 students receive $6, a
Gemiola [76]
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.

The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8

To find the mean of these numbers, add then together then divide by the total amount of numbers.

This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2

An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5

The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.

Hope this helps!
4 0
4 years ago
Given that f(x) = 2x −5, find the value of x that makes f(x) = 15.
svp [43]
F(x)  = 2 x - 5

15 = 2 x - 5

2 x - 5 = 15

2 x = 15 + 5

2 x = 20

x = 20 / 2

x = 10

hope this helps!
8 0
3 years ago
Read 2 more answers
Hoping to attract more shoppers, a city builds a new public parking garage downtown. The city plans to pay for the structure thr
posledela

Answer:

MOE_{95} = 1.192\cdot MOE_{90}

Step-by-step explanation:

The margin of error is computed using the formula:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The critical of <em>z</em> for 95% confidence level and 90% confidence level are:

z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}

\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}

6 0
3 years ago
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