Lars has been approved for$420,000, 20-year mortgage with an apr of 5.125%.what is his monthly payment ? how much interest would he expect to pay on the loan in one month? how much of the monthly payment will go towards the principal?

Monthly Payment = $2,286.85

Interest on first month payment = $1,793.75

Principal value on first month payment =  $493.10

Step-by-step explanation:

lars has been approved for $420,000 for loan.

Time for loan = 20-years

APR (Annual Rate of interest ) = 5.125%

We need to find monthly payment. First month interest and First month principle.

Formula for loan:

Where,

p is monthly payment.

PV = Loan Amount (PV=$420,000)

R = Rate of interest (R=0.05125)

t = Loan period ( t=30)

n = Mode of payment (n=12)

Substitute the value into formula and solve for p

p=$2,286.85

Thus, Monthly Payment =$2,286.85

Interest for first month

Interest pay on the loan in on month = $1,793.75

Principle value on first month payment = 2286.85 - 1793.75 = $493.10

The monthly payment will go towards the principal is $493.10

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."