Answer:
$198,859.03
Step-by-step explanation:
The amortization formula is good for this. Fill in the given numbers and solve for the unknown.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P
P ≈ 1340/0.00673844 ≈ $198,859.03
The family can afford a loan for $198,859.
#1) 4.445 ft
#2) yes
Explanation
#1) The maximum height is the y-coordinate of the vertex. We first find the axis of symmetry, given by x=-b/2a:
x=-0.17/2(-0.005) = -0.17/-0.01 = 17
Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445
#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6
The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
Answer:
8 years
Step-by-step explanation:
Compound interest formula
A(t) is the final amount 55000
A_0= 40000, r= 4% = 0.04, for quarterly n=4
divide both sides by 40000
Take ln on both sides
divide both sides by ln(1.01)
Divide both sides by 4
t=8.00108
So it takes 8 years
28 you take eight plus eight plus six plus six
