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Alex73 [517]
3 years ago
12

You are a real estate agent with ABC Real Estate company. You help sell a home for $155,000. The total commission is 6.5%. Your

company is to receive 60% of the total commission; you will receive 65% of that amount. What is your personal share of the commission?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

$3,929.25.

Step-by-step explanation:

First, calculate the total commission.  That's found by multiplying the selling price ($155,000) by 0.065.  The result:  The total commission is $10,075.

Your company receives 60% of that.  So we multiply $10,075 by 0.60, obtaining $6,045.

Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:

0.65($6,045) = $3,929.25.

Your personal share of the commission is thus $3,929.25.

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Jonathon worked at McDonald's 20 hours per week and earned $195.Use the equation 20h=195 to find Komathons hourly wage.
Virty [35]
195 divided by 20 = $9.75
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5 0
3 years ago
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The volume of a cone with a height of 4 cm is 12π cubic cm. What is the radius of the base?
blondinia [14]

Answer:

r = 6cm

Step-by-step explanation:

Solve for r:

v =  \frac{1}{3} \pi {r}^{2}

12\pi =  \frac{1}{3} \pi {r}^{2}  \\ 12\pi =  \frac{\pi {r}^{2} }{3}  \\ 3 \times 12\pi = \pi {r}^{2}  \\ 36\pi = \pi {r}^{2}  \\  \frac{36\pi}{\pi}  =  \frac{\pi {r}^{2} }{\pi}  \\  \sqrt{ {r}^{2} }  =  \sqrt{36}  \\ r = 6

4 0
2 years ago
There is a population of 15,500 bacteria in a colony. If the number of bacteria doubles every 234 hours, what will
saveliy_v [14]

Answer:

2,48,000

Step-by-step explanation:

  • Initial population of bacteria = 15,500

  • Bacteria doubles after every 234 hours

  • So, after 0 (zero) hours, no of bacteria = 15,500

  • After 234 hours, no. of bacteria = 2(15,500) = 31,000

  • After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)

  • After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)

  • After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)
3 0
2 years ago
HELP NEEDED!!!
V125BC [204]

a) The formula for compound interest is:

Total = starting amount x (1 + interest rate)^ number of years

b)

Using the given information you have:

1200 = 500 x (1+0.045)^x where x is the length of time you want to find.

1200 = 500 (1.045)^x

Divide both sides by 500:

2.4 = 1.045^x

Use natural logarithms:

ln(1.045^x) = ln(2.4)

Solve for x:

X = ln(2.4) / ln(1.045)

X = 19.889 years ( Round the answer as needed).

6 0
3 years ago
The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are semi
Alexus [3.1K]

Answer:

The volume of the solid will be = 134.1 cubic units.

Step-by-step explanation:

The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.

Therefore, the solid will be the shape of a hemisphere.

Now, the radius of the hemisphere will be 4 units.

{Since the base of the hemisphere is on the xy-plane and have equation

x² + y² = 4²}

Therefore, the volume of the solid will be = \frac{2}{3}\pi  r^{3} = (\frac{2}{3})\times (\frac{22}{7}) \times (4^{3}) = 134.1 cubic units. (Answer)

6 0
3 years ago
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