Apassbook saving account has a rate of 6%. find the effective annual yield, rounded to the nearest tenth of a percent, if the interest is compounded
a. semianually
b. quarterly
c. monthly
d. daily( assume 360 days in a year)
e. 1000 times a year
f. 1 times per year

a,b,c,d,e,f) The effective annual yield is 1.1P-P = 0.1P = 10%P.

Step-by-step explanation:

This is a compound interest problem

Compound interest formula:

The compound interest formula is given by:

A: Amount of money(Balance)

P: Principal(Initial deposit)

r: interest rate(as a decimal value)

n: number of times that interest is compounded per unit t

t: time the money is invested or borrowed for.

a)

r = 0.06

n: 2(semianually means that the interest is compounded twice a year).

t = 1.

The acount started the year with P, and it ended with 1.1P, so the effective annual yield is 1.1P-P = 0.1P = 10%P.

b)

Now we have n = 3, since if the interest is compounded quarterly, is is compounded three times a year(a year has 3 quarters). So:

The effective annual yield is 1.1P-P = 0.1P = 10%P.

c) Now we have n = 12, since the interest is compounded monthly, and there are 12 months a year. So:

The effective annual yield is 1.1P-P = 0.1P = 10%P.

d) Since the interest is compounded daily, and we assume 360 days in a year, n = 360. So:

The effective annual yield is 1.1P-P = 0.1P = 10%P.

e) The interest is compounded 1000 times a year, so n = 1000

The effective annual yield is 1.1P-P = 0.1P = 10%P.

f) The interest is compounded 100000 times a year, so n = 100000

The effective annual yield is 1.1P-P = 0.1P = 10%P.

a. Rational number

Step-by-step explanation:

Whole numbers include 0 and counting numbers (1, 2, 3, etc.).  This number does not fall into that category since it is a decimal that cannot be written as a whole number.

Integers include whole numbers as well as negatives of those whole numbers.  Since this has a decimal, it is not an integer.

Rational numbers include any numbers that can be written as a fraction, including decimals, integers and whole numbers.  Since this is a decimal, it can be written as a fraction and is a rational number.

An irrational number is a number that cannot be written as a fraction.  Since this number is rational, it cannot also be irrational.