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faltersainse [42]
1 year ago
15

each month luke earns a salary of 3500 plus 15%at the total ampount of his sales for the month luke earned 4760 in march .what w

as the total amount of lukes sales in dollars for march

Mathematics
1 answer:
sineoko [7]1 year ago
5 0
Hey. Let me help you on this one.

In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.

I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.

We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.

4760-3500=1260

Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.

Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.

\frac{1260}{15} =84

Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.

84*100=8400

Awesome. We now know the amount of sales in dollars that Luke has brought to the company.

Answer: Total amount of Luke's sales in dollars is $8400

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6. Problems and Applications Q6 Consider an economy that produces only chocolate bars. In year 1, the quantity produced is 3 bar
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Answer:

Year 1 GDP Deflator is 100%

Year 2 GDP Deflator is 30%

Year 3 GDP Deflator is 14.29%

Inflation Rate between year 2 and year 3 is 50%

The Real GDP growth Rate for Year 2 and year 3 is 110%

Step-by-step explanation:

Year 1  

 Price of chocolate bar is $2 and 3 bars are sold that year so the real GDP is 3 x $2=$6 which we are also given that this year is the nominal base year so the nominal GDP is also $6. GDP is the sum of all market value produced products in an economy. Therefore that’s why we calculated as the price of a chocolate multiplied the number produced. To calculate the GDP Deflator will be as follows:

GDP Deflator= (nominal GDP/Real GDP) x 100

                      = ($6/$6) x 100

                       = 100%  

Year 2

Price of chocolate bars is $4 per bar and 5 bars were produced therefore Real GDP =$4 x 5 = $20, now we will calculate the GDP deflator as we have been told that year  is the nominal year therefore nominal GDP is $6.

GDP Deflator= (nominal GDP/Real GDP) x 100

                       = ($6/$20) x100

                        = 30%

Year 3

Price of chocolate bars is $6 per bar and 7 bars were produced therefore Real GDP =$6 x 7 =$42, now we calculate the GDP deflator as we have been told that year 1 is the nominal year therefore nominal GDP is $6.

GDP Deflator = (nominal GDP/ Real GDP) x 100

                      = ($6/$42)

                       =14.29%

Now we calculate the inflation rate between year 2 and year 3.we use the CPI (consumer price index to get the inflation rate for year 2 ad 3)

Consumer Price Index = (Current price of bar/previous price of bar) x 100 formula for CPI

                      = ($6/$4) x 100= 150%-100%

                         = 50% is the inflation rate as the consumer price gave us a positive value.

Now we compute the real GDP growth rate between year 2 and year 3

Real GDP growth rate = [  (current Real GDP- Previous Real GDP)/Previous Real GDP] x 100

                                      = ($42-$20)/$20

                                       = 110% so real GDP grew by 110% from year 2 to year 3.

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2 years ago
At a large company, employees can take a course to become certified to perform certain tasks. There is an exam at the end of the
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Answer:

A Type II error is when the null hypothesis is failed to be rejected even when the alternative hypothesis is true.

In this case, it would represent that the new program really increases the pass rate, but the sample taken is not enough statistical evidence to prove it. Then, the null hypothesis is not rejected.

The consequence is that the new method would be discarded (or changed) eventhough it is a real improvement.

Step-by-step explanation:

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1 year ago
1.3 puzzle time why did the fraction jump into boiling water
Slav-nsk [51]

Answer:

The fraction jumped into boiling water because it wanted to be reduced.

Step-by-step explanation:

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1 year ago
The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter
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Answer:

C. 270 grams

Step-by-step explanation:

-This is an exponential growth function which can be expressed using the formula:

P_t=P_oe^{rt}

Where:

  • P_t  is the size at time t.
  • P_o is the initial size
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  • t is the time

Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:

30=10e^{2r}\\\\3=e^{2r}\\\\r=\frac{In \ 3}{2}\\\\=0.54931

We use this calculated rate to determine the population at t=6

P_t=P_oe^{rt}\\\\=10e^{6\times \frac{In \ 3}{2}}\\\\=270\ grams

Hence, the bacteria's size at t=6 is 270 grams

8 0
1 year ago
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
pochemuha
For this case the first thing you should know is that by definition the slope of the line is given by:
 m = (y2-y1) / (x2-x1)
 Where we have two ordered pairs:
 P1 = (x1, y1)
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 Answer: 
 C: Mia switched the numerator and the denominator.
5 0
1 year ago
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