1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andriy [413]
2 years ago
5

Amanda Vehicle has hired Jared Frost as its new president. Terms included the company’s agreeing to pay retirement benefits of $

17,900 at the end of each semiannual period for 12 years. This will begin in 4,015 days. If the money can be invested at 8% compounded semiannually, what must the company deposit today to fulfill its obligation to Robert?
Mathematics
1 answer:
vampirchik [111]2 years ago
8 0
The amount needed in the account when Frost retires is given by the annuity formula. Compounding is 2 times per year.
.. A = Pi/(n(1 -(1 +r/n)^(-nt)))
.. 17900 = P*.08/(2*(1 -(1 +.08/2)^(-2*12)))
.. 17900 = P*.04/(1 -(1.04^-24))
.. P ≈ 272,920.64

The compound interest formula can be used to find the present value required. 4015 days is 11 years (ignoring leap years), so the amount to deposit can be calculated from
.. A = P*(1 +r/n)^(nt)
.. 272,920.64 = P*(1 +.08/2)^(2*11) = P*1.04^22
.. P ≈ 115,160.33

We don't know about the company's obligation to Robert. To fulfill its obligation to Frost, it must deposit 115,160.33 today.
You might be interested in
What’s the answer to the math problem? (3x+2)(2x2+x+3
sergey [27]

{6x}^{3}  +  {7x}^{2}  + 11x + 6
factor out the function
8 0
3 years ago
Help! This is due tomorrow!
Ira Lisetskai [31]
So you're combining equations correct?
6 0
3 years ago
Read 2 more answers
A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
Svetllana [295]
7.5
f(1) = 120
f(2) = -60
f(3) = 30
f(4) = -15
f(5) = 7.5
6 0
3 years ago
Read 2 more answers
There are 454 grams in a pound. There are 16 ounces in a pound. How many grams are in an ounce?
Lostsunrise [7]

Answer: There are 28.375 grams in an ounce.


Step-by-step explanation:

Given: Total grams in a pound =454 grams

Total ounces in a pound = 16 ounces

Therefore, 16 ounces = 454 grams

To find grams in an ounce, we need to divide 454 grams by 16, we get

The total grams in an ounce=\frac{454}{16}=28.375\ grams

∴The total grams in an ounce= 28.375 grams

Hence, there are 28.375 grams in an ounce.

8 0
3 years ago
Read 2 more answers
A total of 722 tickets were sold for the school play. they were either adult tickets or student tickets. there were 72 more stud
ololo11 [35]
S + a = 722
s = 72 + a

(72 + a) + a = 722
2a + 72 = 722
2a = 722 - 72
2a = 650
a = 650/2
a = 325 <== adults

s = 72 + a
s = 72 + 325
s = 397 <== students

5 0
3 years ago
Other questions:
  • The sum of 6 times a position number and 1 is the same as the sauare of 1 less than the number
    11·1 answer
  • Find the quotient of the quantity negative 15 times x to the 2nd power times y to the 6th power plus 50 times x to the 4th power
    12·1 answer
  • What is the slope of a line that is perpendicular to the line who’s equation is y=4/5x-3
    6·2 answers
  • A turkey was cooked at 400° F in the oven for 3 hours. The internal temperature rose from 30° F to 156° F. What was the average
    14·1 answer
  • A crew of meteorologists measured the amount of snowfall in 7 different parts of a mountain town. They each recorded the amount
    13·1 answer
  • Brainliest to correct answer first!
    8·1 answer
  • PLEASE HELPP DUE TODAYYYY:what is the LDC least common denominator
    9·1 answer
  • What is 3/4 divided 1/2
    7·2 answers
  • James and Sarah went out to lunch. The price of lunch for both of them was $40. They tipped their server
    15·1 answer
  • Simplify the expression using the order of operations. 3 (8-4)2 + 7.9
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!