The treasurer of Aspire to Inspire Incorporated is seeking a $30,000 loan for 180 days from Wrigley Bank and Trust. The stated interest rate is 10 percent and there is a 15 percent compensating balance requirement. The treasurer always keeps a minimum of $2,500 in the firm's checking account. These funds could count toward meeting any compensating Balance requirement. What is the effective rate of interest on this loan?

Effective interest rate on the loan is 11.76%

Step-by-step explanation:

Here we have loan amount, Principal = $30,000

Duration of loan = 180 days

Interest on loan = 10% = 10% of $30,000 =  $3000  

Compensating balance = 15% of $30000 = $4,500

Available balance =  $30,000 -  $4,500 =  $25,500

Therefore, the effective interest rate is given by

Effective interest rate on the loan =  0.1176 or 11.76 %.

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)