Answer:
$962.82 will be in John's account after 8 years if compounded semiannually.
Step-by-step explanation:
The formula used to find the amount after 8 years is:
A = P(1+ r/n)^nt
Where A = future value
P= principal value
r = interest rate ( in decimals)
n = no of times interest is compounded
t = time
Putting the values:
P = $600
r = 6% = 0.06
n = 2
t = 8
A= 600 *(1+0.06/2) ^2(8)
A= 600 *(1.03) ^16
A =600*1.605
A = 962.82
So, $962.82 will be in John's account after 8 years if compounded semiannually.
Answer:
(4x+1)(2x^2-5)
Step-by-step explanation:
Hence the answer is 480ml
Step-by-step explanation:
Given Elena wonders how much water it will take to fill her cup. She drops her pencil in the cup and notice it just fit diagonally. The pencil is 17cm long (hypotenes) and the cup is 15cm tall.
To find how much water it can hold
SOLUTION
s
therefore volume of the cup
480cm³= 480ml
Answer:
K = 151.9422481
Step-by-step explanation:
At the end of year 10, your perpetuity is worth 100/i
(1) is worth 90×s_{10%i}
So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937
So now the question compare (1) to (2), at t = 0
(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743
(2) is worth K×a_{5%i} = 4.018264714×K
Therefore K = 151.9422481
