How much better is the return on a 6% yearly interest rate investment that is compounded 6 times per year as opposed to compounded yearly?

it is 1.004 times better

Step-by-step explanation:

Let $p represent the Initial amount invested into the account. Assumimg p = $1000

Let t represent the number of years for which $p was invested. Assuming t = 3 years

r = rate of investment = 6% = 6/100 = 0.06

Let A represent the total amount in the account at the end of t years.

The formula for compound interest is

A = P(1+r/n)^nt

1) if the investment is compounded 6 times per year, then

n = 6

A = 1000(1+0.06/6)^6 × 3

A = 1000(1.01)^18

A = 1196.15

2) if the investment is compounded yearly, then

n = 1

A = 1000(1+0.06/1)^1 × 3

A = 1000(1.06)^3

A = $1191.016

Therefore,

1196.15/1191.016 = 1.004

The investment that is compounded 6 times per year is 1.004 times better that that compound yearly at the same rate and time

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.