Answer:
her salary after 8 years is $26,602
Step-by-step explanation:
Given that
Fiona salary is $21,000
She received 3% raise each year
We need to find her salary after 8 years
So, here we apply the future value formula
i.e.
= Present value × (1 + rate of interest)^number of years
= $21,000 × (1 + 0.03)^8
= $21,000 × 1.03^8
= $26,602
hence, her salary after 8 years is $26,602
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Answer:
a = 2x, b = 3.
Step-by-step explanation:
8x^3+27 = (2x)^3 + 3^3
a = 2x and b = 3.
We can cube root 8x^3 getting 2x and cube root 27 getting 3.
