Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%. chan thought the equivalent quarterly interest rate would be 2%. is chan correct? if he is, explain why. if he is not correct, state whats the equivalent quarterly interest rate is and show how you got your answer.

r = 1.7 percent

Step-by-step explanation:

I = P(1+r)^nt

assuming the principal is the same

yearly

I = (1 +.07)^1

quarterly

I = (1+ r) ^4t

lets find the quarterly interest rate if we get the same interest

(set  the equations equal)

(1 +.07)^1= (1+ r) ^4

simplify

1.07 = (1+r) ^4

take the 4th root on each side

(1.07) ^ (1/4) = (1+r) ^ 4 ^ (1/4)

1.017058525 = 1+r/4

subtract 1

.017058525 = r

multiply by 100

r = 1.7 percent

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.