ANSWER
EXPLANATION
We want to simplify
We multiply the first fraction by the reciprocal of the second fraction to obtain,
We cancel the common factors to get,
This gives us,
Answer:
10 units and (- 5, - 1 )
Step-by-step explanation:
Calculate the distance d using the distance formula
d =
with (x₁, y₁ ) = C(- 8, - 5) and (x₂, y₂ ) = D(- 2, 3)
d =
=
=
=
= 10
Calculate the midpoint using the midpoint formula
( , )
= , )
= , )
= (- 5, - 1 )
Answer:
The solution of the given two linear equations
x = 1 and y =1
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given 4 x + 5 y = 9 ..(i)
- 11 x - 9 y = - 20 ...(ii)
Multiply 11 by (i) and multiply 4 by (ii)
44 x + 55 y = 99 ...(a)
- 44 x - 36 y = -80...(b)
Adding above equations (a) and (b) , we get
19 y = 19
y = 1
<u><em>Step(ii):</em></u>-
substitute y =1 in equation (i) , we get
4 x + 5 y = 9
4 x + 5 = 9
4 x = 4
x =1
<u><em>Final answer:</em></u>-
<em>The solution of the given two linear equations are</em>
<em>x = 1 and y =1</em>
<u></u>
First we need to calculate the monthly payment to repay the loan using the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
PV the amount of the loan 4250
PMT monthly payment?
R interest rate 0.1325
K compounded monthly 12
N time 24 months
Solve the formula for PMT to get
PMT=pv÷ [(1-(1+r/k)^(-n))÷(r/k)]
PMT=4,250÷((1−(1+0.1325÷12)^(−24))÷(0.1325÷12))=202.55
Now to find the total finance charge use the formula of
Total finance charge=monthly payment×number of months-the amount of the loan
Total finance charge=
202.55×24−4,250=611.2
So the answer is 611.2
Hope it helps!
It takes 100 seconds Nolan
good luck