Please help What is a= and b=?

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

never [62]

The <em><u>correct answer</u></em> is:

46.6 days

Explanation:

The general form for exponential growth is

$A=p(1+r)^t$ , where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

$A=p(1+0.015)^t$

We also know we want the total amount, A, to be twice that of the initial amount, p:

$2p = p(1+0.015)^t
\\
2p=p(1.015)^t$

Divide both sides by p:

$\frac{2p}{p}=\frac{p(1.015)^t}{p}
\\
\\ 2=1.015^t$

Using logarithms to solve this,

$\log_{1.015}(2)=t
\\
\\46.6=t$

8 0

3 years ago

Read 2 more answers

How many 3/4s are in 6

Pepsi [2]

Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.

Hope this helps!

7 0

3 years ago

Answer this question Angie and her friends are 3/4 of a pizza.Her brother joe ate 2/3 of what was left.How much did joe eat?

Alja [10]

If Angie and her friends ate 3/4 of a pizza, that means that 1/4 is left.
Joe ate 2/3 of 1/4 of a pizza. To find out how much he ate, multiply 1/4 by 2/3.

$\frac{1}{4}* \frac{2}{3}= \frac{2}{12}$ because you multiply fractions straight across.

Your answer is 2/12 or <em>1/6 of the pizza</em>

4 0

3 years ago

Read 2 more answers

A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o

Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

$\mu = 400, \sigma = 30$ .

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{420 - 400}{30}$

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

3 0

2 years ago

the function graphed shows kyoko's typing speed in words per minute (wpm) x weeks after she began typing course. How many words

Alinara [238K]

Answer:

where is the graph once you upload it i will edit my answer

Step-by-step explanation:

4 0

3 years ago