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2 years ago

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Mathematics

1 answer:

satela [25.4K]2 years ago

8 0

Answer:So, since it is continuously, we need to think of PERT

A=P\times e^{rt}

So, we just plug our numbers in to solve for T

8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t

It will take 15.479 years

Step-by-step explanation:

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Please help quick will give brainliest!

irina [24]

Answer: Choice A) There must be a vertical asymptote at x = c

Explanation:

The first limit $\displaystyle \lim_{x\to c^{-}}h(x) = -\infty$ says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.

The limit $\displaystyle \lim_{x\to c^{+}}h(x) = \infty$ means that as x approaches c from the right side, the y values head off to positive infinity.

Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.

8 0

2 years ago

A principal is ordering pizzas for a school pizza party. He knows that 9 pizzas will

My name is Ann [436]

Answer:

108 pizzas

Step-by-step explanation:

300/25 = 12 groups of 25 students

9 pizzas per group

9(12) = 108 pizzas

hope this helps

7 0

3 years ago

For #3 how do you find the radian measure? Is there a formula?

Novosadov [1.4K]

Yea, there's a formula :
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6 0

3 years ago

A pancake recipe requires two and three quarters cups of milk to one cup of flour. If three and two thirds cups of milk is used,

MrRissso [65]

Answer:

3/4 cups of flour are needed.

Step-by-step explanation:

(3 2/3)/1=(2 3/4)/x

(11/3)/1=(11/4)/x cross multiply.

11x/3=11/4 cross multiply.

4*11x=3*11

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3 0

2 years ago

Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr

PSYCHO15rus [73]

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

4 0

3 years ago