The exponential function that models this situation is:
Using the function, in 2050, she will have $37,453.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
For this problem, the parameters are:
A(0) = 10000, r = 0.045.
Hence the equation is:
2050 is 30 years after 2020, hence the amount is:
More can be learned about exponential functions at brainly.com/question/25537936
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The equation only has one solution bc when you simplify it x ends up equaling 0
Answer:
5.5
Step-by-step explanation:
29.5-13=16.5 16.5÷3=5.5
You would multiply 200 by 40% (0.40 after making it a decimal) then add that to the original cost (200+80=280). Then multiply 280 by 25% (0.25 after making it s decimal) then subtract because it is a discount (280-70=210)
Using the normal distribution, it is found that there is a 0.7549 = 75.49% probability that a randomly generated value of X is greater than a randomly generated value of Y.
<h3>Normal Probability Distribution
</h3>
In a <em>normal distribution</em> with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variables.
In this problem:
- For variable X, .
- For variable Y, .
The the distribution of X - Y, we have that:
The probability that a randomly generated value of X is greater than a randomly generated value of Y is P(X - Y) > 0, which is <u>1 subtracted by the p-value of Z when X = 0</u>, hence:
has a p-value of 0.2451.
1 - 0.2451 = 0.7549.
0.7549 = 75.49% probability that a randomly generated value of X is greater than a randomly generated value of Y.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213