Question

850 new members the number of members decrease by 11.6% every month. Whats the number of new members at the end of the year

Answer 1

194 members.

Explanation:

In this scenario we need to to use the exponential decay formula to calculate the number of new members at the end of the year. The formula is the following

y =
`a * (1 - b)^(x)`

where:

• y = total
• a = initial amount
• b = decay percentage in decimal form
• x = number of time intervals

Now we can simply plug in the values into the formula. We need to use the decimal value of 11.6%. To get this we divide this by 100 which would give us 0.116. We also use 12 for x since there are 12 months in a year.

y =
`850 * (1 - 0.116)^(x)`

y =
`850 * (0.884)^(12)`

y =
`850 * 0.227733`

y = 193.57

Since a member can only be a whole number we can would this to the nearest whole number which would mean that the total number of new members at the end of the year would be 194 members.