Raul spent one hour doing his homework last night. he spent 1/4 hour on math and 1/3 hour on history. he spent the rest of the time on language arts. what part of an hour did he spend on language arts? how many minutes was this?

The time Raul spent on Language Arts is (5/12) hours.

Raul spent 25 minutes on Language Arts.

Step-by-step explanation:

The total time allotted for home = 1 hr

Time spent on math = (1/4) hour

Time spent on history = (1/3) hour

Let the time spent on language arts = k hours

Now, according to the question:

Time Spent on (Math + History + Language Arts) = 1 hour

⇒  

or,

or,

⇒ k = (5/12) hours

Or, the time Raul spent on Language Arts is (5/12) hours.

and (5/12) hour =

Or, Raul spent 25 minutes on Language Arts.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.