Explanation:
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A deduction from adjusted gross income for yourself, your spouse, and qualified dependents is: an exemption. The Form 1040 is most helpful to a person who: itemizes deductions
Answer:
True
Explanation:
As the ethics form the basic working nature for any organization, this results in representing the moral values of an organization.
This clearly depicts that the organization is represented through its employees and if employees are properly trained for the ethical behavior, this will definitely positively impact on the organization, also, the organization which do not provide any training for such the results are not that effective, as the ethics are not followed properly and ethics are not defined.
Answer:
The lump sum be of $237,228.84
Explanation:
In order to calculate how large must the lump sum be we would have to use and calculate the formula of Present value of annuity due as follows:
Present value of annuity due=(1+interest rate)*Annuity[1-(1+interest rate)^-time period]/rate
Present value of annuity due=(1+0.075)*$25,000[1-(1.075)^-15]/0.075
Present value of annuity due=$25,000*9.489153726
Present value of annuity due=$237,228.84(Approx)
The lump sum be of $237,228.84
Answer:
v(t) = (2t + 1)i + 3t²j + 4t³k
r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k
Explanation:
a(t) = 2i + 6tj + 12t²k
v(t) = ∫a(t)dt
= ∫(2i + 6tj + 12t²k)dt
= 2ti + (6t²/2)j + (12t³/3)k + c
= 2ti + 3t²j + 4t³k + c
v(0) = i
i = 0i + 0j + 0k + c
c = i
∴ v(t) = 2ti + 3t²j + 4t³k + i
v(t) = (2t + 1)i + 3t²j + 4t³k
r(t) = ∫ v(t)dt
= i ∫ (2t + 1)dt + 3j ∫ t²dt + 4k ∫ t³dt
= i (2t²/2 + t) + 3j(t³/3) + 4k(t⁴/4) + d
= i (t² + t) + jt³ + t⁴k + d
r(0) = 7j - 4k
0i + 0j + 0k + d = 7j - 4k
d = 7j - 4k
∴ r(t) = (t² + t)i + t³j + t⁴k + 7j - 4k
r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k
