Answer:
17
Step-by-step explanation:
i multiplied 17 by 20 and that gave me 340 which is greater than 300
Part A: monthly payment
Initial loan after downpayment,
P = 320000-20000= 300,000
Interest rate per month,
i = 0.06/12= 0.005
Number of periods,
n = 30*12= 360
Monthly payment,
A = P*(i*(1+i)^n)/((1+i)^n-1)
= 300000(0.005(1.005)^360)/(1.005^360-1)
= 1798.65
Part B: Equities
Equity after y years
E(y) = what they have paid after deduction of interest
= Future value of monthly payments - cumulated interest of net loan
= A((1+i)^y-1)/i - P((1+i)^y-1)
= 1798.65(1.005^y-1)/.005 - 300000(1.005^y-1)
= (1798.65/.005-300000)(1.005^y-1)
Equity E
for y = 5 years = 60 months
E(60) = (1798.65/.005-300000)(1.005^60-1) = 18846.17
for y = 10 years = 120 months
E(120) = (1798.65/.005-300000)(1.005^120-1) = 45036.91
y = 20 years = 240 months
E(240) = (1798.65/.005-300000)(1.005^240-1) = 132016.53
Check: equity after 30 years
y = 30 years = 360 months
E(360) = (1798.65/.005-300000)(1.005^360-1) = 300000.00 .... correct.
5x+4y=8
-5x from both sides, you get 4y=-5x+8
then you divide the equation by 4.
y=-5/4x+2
10x-4y=46
-10x from both sides and you get -4y=-10x+46
divide the whole equation by -4 and you get y=5/2x + -23/2 .
source: MathPapa
Answer:
309 students
Step-by-step explanation:
Out of 600 students who complete the proficiency test, 423 were found to be proficient in reading, 398 were found to be proficient in math, and 512 were found to be proficient in either reading or math. How many were proficient in both reading and math?
We solve the above question using the formula below:
Where R = Proficiency in reading
M = Proficiency in maths
n ( R ∪ M) = n(R) + n ( M) - n ( R ∩ M)
n ( R ∪ M) = 512 students
n(R) = 423
n ( M) = 398
n ( R ∩ M) = ??
Hence:
512 = 423 + 398 - n ( R ∩ M)
n ( R ∩ M) = 423 + 398 - 512
= 821 - 512
= 309
The number of people proficient in both reading and math [n ( R ∩ M)] = 309 students
Answer:
The answer is "0.0547".
Step-by-step explanation:
Using the binomial distribution:
Calculating the excel formula:
