The following formula is applicable;
A=P(1+r)^n
Where,
A = Total amount accrued after 10 years (this is the amount from which the yearly withdrawals will be made from for the 30 years after retirement)
P=Amount invested today
r= Annual compound interest for the 10 years before retirement
n= Number of years the investments will be made.
Therefore,
A= Yearly withdrawals*30 years = $25,000*30 = $750,000
r= 9% = 0.09
n= 10 years
P= A/{(1+r)^n} = 750,000/{(1+0.09)^10} = $316,808.11
Therefore, he should invest $316,808.11 today.
Answer:
18 and 335
Step-by-step explanation:
y = 18x + 11
x * y = 6030
x * (18x + 11) = 6030
18x^2 + 11x = 6030
18x^2 + 11x - 6030 = 0
(18x + 335)(x - 18) = 0
18x + 335 = 0 x - 18 = 0
18x = -335 x = 18
x = -335/18
x is gonna have to be a positive number...so x = 18
y = 18x + 11
y = 18(18) + 11
y = 324 + 11
y = 335
so ur numbers are 18 and 335
Apply the distributive property:
12(4-v)
(12*4)-(v*12)
48-12v
Answer:
Step-by-step explanation:
500-250= 250
there for its half off 50% because its split down the middle, so thats an easy one
