Lane hall borrowed $11,000 on a 120-day 7 percent
note. lane paid $3,000 on day 50. on day 105 he paid
additional $2,000. using the u. s. rule, his adjusted
balance after the first payment is:
o $2,893.06
0 $8,106.94
0 $8,000.06

His adjusted  balance after the first payment is $8106.94 ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Lane Hall borrowed $11,000 on a 120-day 7 percent  note.

∴ The principal amount is $11,000

∴ The interest rate is 7%

- Lane paid $3,000 on day 50

- Calculate interest on principal to the date of the first payment

∵ I = P × r × t, where I is the interest, r is the rate in decimal and t is

  the time (exact number of days/360)

∵ P = 11,000

∵ r = 7/100 = 0.07

∵ t = 50/360

∴ I = 11,000 × 0.07 × 50/360 = 106.94

* The interest of the lone to the first payment is $106.94

- The new principal is the sum of the principal and the interest of

  the lone to the first payment

∴ P = 11,000 + 106.94 = 11106.94

∵ Lane paid $3000 on day 50

∴ The balance after the payment = 11106.94 - 3000 = 8106.94

∴ His adjusted  balance after the first payment is $8106.94

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is