Grayson really wants to get an a on his upcoming math test but he hates studying. He decides to set a goal for himself to study
1 answer:
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Answer:
Difference = $9773.02
Explanation:
An annuity is a series of cash flows or payments that are of constant amount, occur after equal intervals of time and are for a limited and defined period of time. Thus, the winnings from lottery are an annuity as they pay a fixed amount $11300 every year for 21 years.
The annuity can be of two types namely ordinary annuity and annuity due. In ordinary annuity the cash flows occur at the end of the period and in annuity due, the cash flows occur at the beginning of the period. When we calculate the present value of these cash flows, it is understood that the present value of annuity due is greater than the present value of ordinary annuity.
The formulas for the present value of both ordinary annuity and annuity due are attached.
In the formula, R is the annuity payment or cash flow and i is the relevant interest rate and n is the number of years or periods.
PV of annuity ordinary = 11300 * [ (1 - (1+0.1)^-21) / 0.1 ]
PV of ordinary annuity = $97730.24548 rounded off to $97730.25
PV of annuity due = 11300 * [ (1 - (1+0.1)^-21) / 0.1 ] * (1+0.1)
PV of annuity due = $107503.27
Difference = 107503.27 - 97730.25
Difference = $9773.02
Answer:
H0 : β = 0
H1 : β = 0
R = 0.8642
P value = 0.002654
Explanation:
Null hypothesis : H0 : β = 0
Alternative hypothesis : H1 : β ≠ 0
The correlation Coefficient, R value as obtained using a correlation Coefficient calculator is 0.8642. This depicts that a strong positive relationship exists between court income and Justice salary.
The Pvalue using the Pvalue calculator (R = 0.8642, N = 9) = 0.002654
The Pvalue < α
0.002654< 0.05 ; Hence, we reject H0.
