10/5 POINTSSSSSS!!!!!

Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.

wlad13 [49]

Answer:

(a) $Total = 45000$

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

$Kofi =5/9$

$Yaw = 2/15$

$Musa = 14000$

Solving (a): The cost of the business

First, we solve for the fraction of Musa

$Musa + Kofi + Yaw = 1$

$Musa = 1 - (Kofi + Yaw )$

$Musa = 1 - (5/9 + 2/15)$

$Musa = 1 - (\frac{25+6}{45})$

$Musa = 1 - \frac{31}{45}$

$Musa = \frac{45 - 31}{45}$

$Musa = \frac{14}{45}$

So, we have:

$\frac{14}{45} * Total = 14000$

Make Total the subject

$Total = 14000 * \frac{45}{14}$

$Total = 1000 * 45$

$Total = 45000$

Solving (b): Partners in ascending order

First, represent the fractions as decimals

$Kofi =5/9$ $= 0.5556$

$Yaw = 2/15$ $= 0.1333$

$Musa = \frac{14}{45}$ $= 0.3111$

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0

3 years ago

1 minus what equals 1/4 plus 3/8

AnnZ [28]

1/4 =2/8+3/8 =5/8
1-5/8=3/8

7 0

3 years ago

Solve for x. solve for x. solve forx.

Veronika [31]

X = 7
hope this helps

8 0

3 years ago

Read 2 more answers

The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi

Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

$\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} - \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674$

7 0

3 years ago

See image for question.

kotegsom [21]

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

6 0

3 years ago