You deposit ​$1000 in an account that pays 6​% interest compounded semiannually. After 3 ​years, the interest rate is increased to ​6.48% compounded quarterly. What will be the value of the account after a total of 6 ​years?

FV= $1,448.01

Step-by-step explanation:

To calculate the future value of the investment, we need to use the following formula using both interest rates:

FV= PV*(1+i)^n

Interest 6% compounded semmiannually:

i= 0,06/2= 0.03

n= 2*3= 6 semesters

FV= 1,000*(1.03^6)

FV= $1,194.05

Interest 6.48% compounded quarterly:

i= 0.0648/5= 0.0162

n= 3*4= 12 quarters

FV= 1,194.05*(1.0162^12)

FV= $1,448.01

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet