A salesperson's weekly paycheck is 50% more than a second salesperson's paycheck. The two paychecks total $1625. Find the amount of each paycheck. (Round your answers to the nearest cent.)

Answers

Answer 1
Answer:

Answer:

The amount of each person's pay check =

a = First person's pay check = $1083.33

b = Second person's pay check = $541.67

Step-by-step explanation:

Let first sales person's pay check = a

The second sales person's pay check = b

A salesperson's weekly paycheck is

50% more than a second salesperson's paycheck.

Hence,

First pay check (a) = a

Second paycheck (b) = 0.5 of a

= 0.5a

The two paychecks total $1625.

a + b = $1625

a + 0.5a = 1625

1.5a = 1625

a = 1625/1.5

a =$ 1083.3333333

a is approximately = $1083.33

Since

0.5a = b

0.5 × 1083.3333333 = b

$541.66666667 = b

b = approximately = $541.67

Therefore, the amount of each person's pay check approximately to the nearest cent =

a = First person's pay check = $1083.33

b = Second person's pay check = $541.67

Answer 2
Answer:

Final answer:

The second salesperson's paycheck is $650, while the first salesperson's paycheck is $975.

Explanation:

Let's assume the amount of the second salesperson's paycheck is x. Since the first salesperson's paycheck is 50% more, their paycheck is 1.5x. The total of the two paychecks is $1625, so we can set up the equation: x + 1.5x = 1625.

Combining like terms, we have 2.5x = 1625. Dividing both sides by 2.5, we find that x = 650.

Therefore, the amount of the second salesperson's paycheck is $650, and the amount of the first salesperson's paycheck is 1.5 times that, which is $975.

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Of 81 square feet and a base length of 9 feet. What is the height of the parallelogram?

Answers

Your answer would be 9 feet
81=area
9=base
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What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3x + 4

Step-by-step explanation:

y = mx + b is the formula for finding the slope intercept form equation

m = slope

b = y intercept

If you look at points (-3, 0) and (0, 4), you can calculate the slope

You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)

Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4

Now, lets create your equation...

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A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. What is the rate of growth each month?select the correct answer below.A) 0.797%
B) 0.00797%
C) 0.833%
D) 0.00833%

Answers

Answer: C) 0.833%


Step-by-step explanation:

Given: Cost price of house = $120,000

The rate of increase of its cost = 10%

Therefore, the increase amount of house per year =10% of $120,000

=(10)/(100)*120000=\$12,000

Now, the amount increase each month=(12000)/(12)=\$1000

Let r be the rate of growth each month, then

r% of $120,000=1000

\Rightarrow(r)/(100)*120000=1000\n\Rightarrow\ r*1200=1000\n\Rightarrow\ r=(1000)/(1200)=0.833\%

Answer:

0.797%

Step-by-step explanation:

DO NOT PICK THE OTHER ANSWERS

One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?

Answers

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of (x+y)^m is 31,824x^(18)y^(11)  ...(i)

We know that that (r+1)th term in (a+b)^n is given by :-

T_(r+1)=^nC_ra^(n-r)b^r  ...(ii)

On comparing (i) with (ii) , we get

a= x \text{ and } b= y \nn-r =18 \text{ and }  r=11\nn=m

i.e.

m-r=18\Rightarow\ m-11=18\n\n\Rightarrow\ m=18+11=29

Hence, the value of m is 29.

5²+3³.2³/4³=?

Thanks...

Answers

5^(2) =25 \n  3^(3) =27 \n  2^(3) =8 \n  4^(3) =64 \n  \n 27.8=216 \n 216+25=241 \n  \n  (241)/(64) =3,76 \n  \n\framebox[1.1\width]{Good Luck!} \par
5^2=>>25 \n  \n 3^3=>>27 \n  \n 2^3=>>8 \n  \n  4^3=>>64 \n  \n  (25+27.8)/(64) = (241)/(64)  \n  \n  \n \framebox[1.1\width]{Succes !} \par

Factor the GCF out of the following expression to create a multiplication problem.-72n^5 +81n³

Answers

Answer:For 9n^3: (9n^3) * (-8n^2+9)

For -9n^3: (-9n^3) * (8n^2-9)

Step-by-step explanation:

The GCF is the greatest common factor.

The great common factor between 72 and 81 is 9 as 72=9*8 and 81=9*9

the GCF between n^5 and n^3=n^3.

SO the GCF is 9n^3.

But I would like to keep that leading coefficient positive, so i will factor -9n^3. It doesn't matter which one you choose, ill do both so u will have both ready.

For 9n^3: (9n^3) * (-8n^2+9)

For -9n^3: (-9n^3) * (8n^2-9)