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miv72 [106K]
1 year ago
6

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha

red between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.
Mathematics
1 answer:
jarptica [38.1K]1 year ago
6 0

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

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What is 1,242/99 rounded to the nearest integer? Explanation please?
tangare [24]

Answer:

13 is the answer.

Step-by-step explanation:

In this question the given fraction is

Now we have to simplify the fraction to the nearest integer.

Since the integers are whole number not in fraction therefore 12.5 can be written as 13 as the nearest integer.

Step-by-step explanation:

Please mark brainliest and have a great day!

4 0
2 years ago
Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
2 years ago
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso
Step2247 [10]

Answer:

the probability is 0.1143

Step-by-step explanation:

here are the details from the question you asked

number of people = 6

nuber of weapons = 6

number of rooms = 9

after narrowing it down to

3 people,3 weapons, and 6 rooms

= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂

= 20 * 20 * 84 / 293930

= 33600/293930

= 0.1143

<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>

7 0
2 years ago
A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in
kiruha [24]

Answer:

282ft

Step-by-step explanation:

83×3=249

249+33=282

4 0
2 years ago
The solid graph is a translation of RootIndex 3 StartRoot x EndRoot. On a coordinate plane, 2 cube root functions are shown. The
serious [3.7K]

Answer: 2 units up.

Step-by-step explanation:

If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.

6 0
2 years ago
Read 2 more answers
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