Abank loaned out $18,000 , part of it at the rate of 6 % per year and the rest at 14 % per year. if the interest received in one year totaled $2000, how much was loaned at 6 % ?
how much of the $18000 did the bank loan out at 6%?

$6500

Step-by-step explanation:

A bank loaned out $18,000

Let x be the part of amount  at the rate of 6 % per year

So, Remaining amount = 18000-x

So, the part of amount at the rate of 14 % per year = 18000-x

the interest received in one year totaled $2000

Formula :

P is the principal

R = rate of interest

T = Time

SI at 6%+SI at 14% = 2000

Hence the bank loan out at 6% is $6500

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363

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