Richard miyashiro purchased a condominium and obtained a 20-year loan of $196,000 at an annual interest rate of 8.30%. (round your answers to the nearest cent.)
(a) what is the mortgage payment? $
(b) what is the total of the payments over the life of the loan? $
(c) find the amount of interest paid on the mortgage loan over the 20 years. $

(a) $ 1,676.21

(b) $ 402,289.22

(c) $ 206,289.22

Step-by-step explanation:

Given,

The present amount of the loan, PV = $ 196,000

Time = 20 years,

So, the number of months, n = 12 × 20 = 240

Also, the annual rate = 8.30 % = 0.083,

So, the monthly rate, r =

(a) Hence, the mortgage payment or monthly payment,

(b) The total payment = monthly payment × number of periods

= 402289.220249

≈ $ 402,289.22

(c) Interest paid = total payment - present value of loan

= 402289.22 - 196,000

= $ 206,289.22

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: