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Rate: To find the rate, let’s divide interest earned by the principal. When you do, you get 0.15. Multiply by 100 to get 15 and divide by 3 to get 5. The simple interest rate is 5%.
New balance: All you have to do is add the principal and he new balance. When you do, you get 517.5. The new balance is $517.50.
Answer:
For a sample size of 10, the t-value is about 3.25 (from tables) at a 99% confidence interval.
Explanation:
When the standard deviation for the population is not known, the confidence interval estimate for the population mean is performed with the Student's t-distribution.
The confidence interval for the mean is calculated as
![(\Bar{x}- t\frac{s}{\sqrt{n}} , \, \Bar{x}+ t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%28%5CBar%7Bx%7D-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%2C%20%5C%2C%20%5CBar%7Bx%7D%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20)
where
![\Bar{x}](https://tex.z-dn.net/?f=%5CBar%7Bx%7D)
= sample mean,
s = sample standard deviation,
t = t-value (provided in tables),
n = sample size.
When reading the t-value, (n-1) is called the df or degrees of freedom.
Answer:
![\frac{23}{59}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B59%7D)
Step-by-step explanation:
A fraction can be found be taking the current amount over the total amount:
![\frac{current}{total}=\frac{23}{59}](https://tex.z-dn.net/?f=%5Cfrac%7Bcurrent%7D%7Btotal%7D%3D%5Cfrac%7B23%7D%7B59%7D)
Since Darlene has only typed 23 pages out of 59, her fraction is 23 over 59. Fractions must always be in simplest form, which means that both the numerator and denominator can no longer be divided by the same factor. Since the numbers 23 and 59 are both prime and have no other factors other than 1 and themselves, the fraction 23/59 is in simplest form.
Answer:
a=-8
Step-by-step explanation:
-2.8 • -2.8 • -2.8 • -2.8 • -2.8 • -2.8
=481.890