Given Information:
Years = t = 35
Semi-annual deposits = P = $2,000
Compounding semi-annually = n = 2
Interest rate = i = 6.5%
Required Information
Accumulated amount = A = ?
Answer:
Accumulated amount = $515,827
Step-by-step explanation:
The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by
FV = PMT * ((1 + i/n)^nt - 1)/(i/n))
Where
n = 2
i = 0.065
t = 35
FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))
FV = 2,000*(257.91)
FV ≈ $515,827
Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.
Answer:
B. perpendicular
Step-by-step explanation:
hope this helps
Answer:
240+30x
Step-by-step explanation:
240+30x because you multiply 30 x 8 and get 240 plus 30 x X and get 30x
Answer:
(A) 
(B) Frequency becomes half.
Step-by-step explanation:
We have been given that the frequency f of vibration of a violin string is inversely proportional to its length L. The constant of proportionality k is positive and depends on the tension and density of the string.
(A) We know that two inversely proportional quantities are in form
, where y is inversely proportional to x and k is constant of proportionality.
Upon substituting our given values, we will get:

Therefore, our required equation would be
.
(B) For part, we have been given that length is twice, so our new frequency will be
and new length
is
.
Upon substituting
in our equation as:




Upon comparing
with
, we can see that
is half the value of
.
Therefore, the frequency of vibration of violin gets half, when we double the length of the string.