Hi,
Work:
Equation;
Solving:
Final solutions:
The answer is: Quadric equation has two real solutions.
Hope this helps.
If you need any additional explanation comment below and I'll reply.
r3t40
Answer:
There are no statements supplied, but see below.
Step-by-step explanation:
This is a perfect square trinomial (quadratic) because it factors to
(2x + 5)^2.
The zeroes are -5/2 multiplicity 2.
It is a parabola which opens upwards and whose vertex touches the x axis at the point (-5/2, 0).
Assuming monthly payment of $250, which implies APR=0.01*12=0.12.
If it is different, please specify.
target P=20000,
A=250
n=to be determined such that P>=target P=20000
The annuity equation with given (monthly) payment is given by
P=250(P/A,i,n)
=A((1+i)^n-1)/(i(1+i)^n)
=250(1.01^n-1)/(0.01(1.01)^n)
=25000(1.01^n-1)/(1.01^n)
Solve for n by trial and error,
Rewrite
20000<=25000(1-1/1.01^n)
=>
1.01^n>=25000/20000=1.25
Take log on both sides,
n*log(1.01)>=log(5)
n>=log(5)/log(1.01)=161. 75
=> n=162 (next integer)
Check:
P=250(P/A,0.01,162)=250*(1.01^162-1)/(.01*1.01^162)=20012.56 ok.
Answer:
Z value for the first pump = -0.68
Z value for the second pump = 0.45
Step-by-step explanation:
Data provided in the question:
Mean labor cost to repair a heat pump = $90
Standard deviation = $22
Labor cost for the first, X₁ = $75
Labor cost for the Second, X₂ = $100
Now,
Z value for the first pump = [X₁ - Mean] ÷ Standard deviation
thus,
Z value for the first pump = [ $75 - $90] ÷ $22
= - 0.68
Z value for the second pump = [X₁ - Mean] ÷ Standard deviation
thus,
Z value for the second pump = [ $100 - $90] ÷ $22
= 0.45
