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gogolik [260]
4 years ago
10

Ax/b+Cx/d=e solve for x

Mathematics
2 answers:
Radda [10]4 years ago
8 0
Hello there.

<span>Ax/b+Cx/d=e

</span>\frac{2.718282bd}{ad+bc}<span>

</span>
Amiraneli [1.4K]4 years ago
3 0
Step 1. Multiply both sides by cx+d 
<span>ax+d = e (cx+d) </span>

<span>Step 2. Distribute </span>

<span>ax+b = ecx + ed </span>

<span>Step 3. Subtract b from both sides </span>

<span>ax = ecx + ed - b </span>

<span>Step 4. Subtract ecx from both sides </span>

<span>ax - ecx = ed - b </span>

<span>Step 5. Factor our x from the right side </span>

<span>x(a-ec) = ed - b </span>

<span>Step 6. Divide both sides by a-ec </span>

<span>x = (ed-b) / (a-ec)</span>
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The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d
Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

8 0
3 years ago
A team of 5people to be selected from 7women &amp; 6men. Find the number of different teams that could be selected if there must
vova2212 [387]

Answer:

1246 teams

Step-by-step explanation:

We are told there are 7women & 6men.

If 5 people are selected and there must be more women than men in the team.

This means there must be a minimum of 3 women.

Thus;

For 3 women;

7C3 × 6C2 = 525

For 4 women;

7C4 × 6C3 = 700

For 5 women;

7C5 × 6C0 = 21

Thus;

Total = 525 + 700 + 21 = 1246 teams

8 0
3 years ago
What value of n makes this expression equal to 6?<br> 3n - (2+n)<br> A. 6<br> B. 4<br> C. 5<br> D. 3
alexandr1967 [171]
B. 4
3n - (2 + n)
3(4) - (2 + 4)
12-6
=6
6 0
3 years ago
A candle is in the shape of a square prism. The candle is 16 meters high, and its volume is 960 cubic meters. Find the length of
madam [21]

Answer:

The length of each side of the square base is 2\sqrt{15}\ m

Step-by-step explanation:

we know that

The volume of a square prism is equal to

V=b^{2}h

where

B is the length side of the square base

h is the height of the prism

we have

V=960\ m^{3}

h=16\ m

substitute and solve for b

960=b^{2}16

b^{2}=960/16

b=\sqrt{60}\ m

Simplify

b=2\sqrt{15}\ m

5 0
3 years ago
What is the length of each segment?<br> Segment AB: from A(-2,1) to B(-2, 5)
White raven [17]

Answer:

length =  \sqrt{ {( - 2 - ( - 2))}^{2} +  {(5 - 1)}^{2}  }  \\  =  \sqrt{16}  \\  = 4 \: units

5 0
3 years ago
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