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3 years ago

Use the three steps to solve the problem.

2 answers:

6 0

X = Bigger number is 5/3
y = Smaller number is 1/3

Solution
x = 5y
x + y = 3 - 3y which is x + 4y = 3

So, then replacing x with 5y in the second equation we get
5y + 4y = 3
So y = 1/3
Then coming back to the first equation
x = 5/3

Check the result with the second equation
5/3 + 1/3 = 3 - 3/3

Marizza181 [45]3 years ago

4 0

Answer:

The numbers should be 8 and 13. You can check them to be sure.

Step-by-step explanation:

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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

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Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

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

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3 years ago

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For AD:
AD=root((c-0)^2 + (d-0)^2)=root((c)^2 + (d)^2)
For BC:
BC=root(((b+c) - b)^2+(d-0)^2)=root((c)^2+(d)^2)
For AB:
AB=root((b-0)^2 + (0-0)^2)=root((b)^2 + (0)^2)=root((b)^2)
For CD:
CD=root((c-(b+c))^2 + (d-d)^2)
CD=root((b)^2 + (0)^2)
CD=root((b)^2)

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