How can you use a compatible number to estimate a quotient when dividing a decimal by a whole number?

Mathematics

2 answers:

8090 [49]3 years ago

5 0

Answer: just follow these simple steps!

Step-by-step explanation:

1. Estimate the quotient.

2. Perform the division. Remember to place a zero in the quotient when the divisor is larger than the dividend. ...

3. Compare your estimate with your quotient to verify that the answer makes sense.

olga2289 [7]3 years ago

4 0

A compatible number is going to give you a answer relatively close to your answer.

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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

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The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

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$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$