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Over [174]
3 years ago
10

The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of mone

y originally invested.
f(x) = 5,000(1 + 0.04)x

1
0.04
1.04
5,000
Mathematics
2 answers:
Leni [432]3 years ago
7 0

Answer:

5,000

Step-by-step explanation:

Amanda [17]3 years ago
4 0

Answer:

\boxed{5000}

Step-by-step explanation:

The formula for the amount accrued on an investment earning compound interest is

f(x) = P(1 + r)^{x}

where

P = the amount of money invested

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 5000(1 + 0.04)^{x}\\\text{By comparing the formulas, we see that the amount of money invested is $\boxed{\textbf{5000}}$}

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rectangular stage that is 9 feet wide has an area of 252 square feet. What is the perimeter of the stage?
ioda
Hi there!

First, we need to find the length of the stage. We can do this by plugging in our known values and solving for the unknown value.

WORK:
252 = 9 x l
l = 28

Next, we know that there are two lengths and two widths total. So all we need to do is to add two lengths plus to widths to find the perimeter.

WORK:
2(28) + 2(9) = P
56 + 18 = P
P = 74 feet^2

Hope this helps!! :)
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3 years ago
PLEASE HELP FAST!! WILL MARK BRAINLIEST!!!!
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In 4 days Bryn sells 24 tickets (50-26)
So in 1 day he sells 6 tickets --> B is right
The +33 in the equation means, that Eddie sold 33 tickets oon the first day
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3 years ago
Read 2 more answers
You have 17 coins. They are pennies and quarters. They amount to $3.53. Write and solve a syste of equations to determine how ma
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A certain cake recipe calls for 2 7/8 cups of sugar to make one cake, If you want to make four cakes, how many cups of sugar, do
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In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s
Oksi-84 [34.3K]

Answer:

a) \mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

b) From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

c) P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

P(Z\geq2.070)=1-P(Z

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

\mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

Part c

For this case we want this probability:

P(\bar X \geq 285)

And we can use the z score defined as:

z=\frac{\bar x -\mu}{\sigma_{\bar x}}

And using this we got:

P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

And using a calculator, excel or the normal standard table we have that:

P(Z\geq2.070)=1-P(Z

8 0
3 years ago
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