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Brilliant_brown [7]
1 year ago
5

Solve the following problem: An investor earned triple the profits of what she earned last year. If she made $500,000.48 total f

or both years, how much did she earn in profits each year?
Mathematics
1 answer:
myrzilka [38]1 year ago
7 0

Answer:

$125,000.12 last year

$375,000.36 this year

Step-by-step explanation:

Last year, her profits were x.

This year, the profits are three times greater, so they are 3x.

Altogether for both years, the profits are x + 3x = 4x.

The profits for both years combined are $500,000.48

4x = 500,000.48

Divide both sides by 4.

x = 500,000.48/4

x = 125,000.12

The profits last year were $125,000.12

This year, the profits were 3x = 3(125,000.12) = 375,000.36, or $375,000.36

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The difference in the x- coordinates of two points is 3, and the difference in the y- coordinates of the two points is 6. What i
USPshnik [31]

Answer:

2

Step-by-step explanation:

Slope or gradient of a line is given by dividing change in y axis by the change in x axis. Slope is represented by m hence m=\frac {\triangle y}{\triangle x} where \triangle y is the change in y axis while \triangle x is the change in x co-ordinates. Substituting \triangle y with 6 units while 3 units substitute \triangle x then the slope will be m=\frac {6}{3}=2

Therefore, the gradient is 2

7 0
2 years ago
Read 2 more answers
The following numerically ordered sequence of numbers has a mean of 17 and a median of 18.
erastovalidia [21]

Answer:

a = 9

b = 19

Step-by-step explanation:

DO B FIRST

The mean is the average of all the terms (numbers) in the sequence

To find the average you find the sum of the terms and divided the sum by the number of terms there are.

The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A

a = 17(10)-7-12-15-17-19-20-22-24-25

a = 170-161

a = 9

The median is found by taking the average of the two middle terms

Our middle terms are 17 and B

the median times 2 equals the sum of the two terms and then subtract the term you know from the sum

b = 18(2)-17

b = 36-17

b = 19

5 0
2 years ago
Read 2 more answers
A boxplot of weights (in grams) for 578 chicks is given. The right hand axis marks the five number summary. Use this plot to dec
podryga [215]

Answer:

the anwser is in the text

Step-by-step explanation:

7 0
1 year ago
An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
2 years ago
Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
scoundrel [369]

Answer:

The correct answer is the last option, that is, 112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

7 0
2 years ago
Read 2 more answers
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