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diamong [38]
3 years ago
14

1. Susan decides to take a job as a transcriptionist so that she can work part-time from

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

a)  About 46.3 hours

b) About $1036.80

Step-by-step explanation:

a)

Break even means to make enough to cover her costs.

Given her cost is 1000, we need to find how many hours she will need to cover this up.

In 1 minute, she can type 90 words, that would pay her:

0.004 per word for 90 words = 0.004 * 90 = $0.36 per minute

Susan makes $0.36 per minute, so the amount of time (in minutes) it will take her to make $1000, is:

1000/0.36 = 2777.78 minutes

Converting that to hours, we divide by 60,

2777.78/60 = 46.3 hours

b)

4 hours per day for 3 days = 4 * 3 = 12 hours (per week)

Let there be 4 weeks in a month, so

12 hours per week * 4 = 48 hours per month

She will work 48 hours per month.

Given 90 words per minute, in 1 hour, she can type:

60 minutes * 90 = 5400 words per hour

In 48 hours, she can type:

5400 words per hour * 48 hours = 259,200 words

That would pay her:

0.004 per word for 259,200 words = 0.004 * 259,200 = $1036.80

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Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0
2 years ago
Factorise 15 x square - 6 X + 5 Y - 2 please answer me fast who answered will mark as brainleist ​
sweet-ann [11.9K]

Answer:

(3x+1)(5x-2)

Step-by-step explanation:

Given the expression

15x^2-6x+5x-2

Factorize;

3x(5x-2)+ 1(5x-2)

(3x+1)(5x-2)

Hence the factorized form is (3x+1)(5x-2)

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URGENT! Can anyone explain how to solve this??
Alex
Check the picture below

the triangles are similar, the angles are congruents then

so... just add them up, and divide by 2, or set them as rational

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ruslelena [56]

Answer:

3x - 14

Step-by-step explanation:

Perimeter = 2(length+width)

= 2[(½X-7) + (x)]

= 2[½x + x - 7]

= 2[1.5x - 7]

= 3x - 14

4 0
3 years ago
What is the gcf of 18,54, and 72
dsp73
I think its 9 because 9 times 2 is 18 9 times 6 is 54 and 9 times 8 is 72

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