There are 15 people in the chorus. Each year, the number of people in the chorus increases by 12%.

1 answer:

8 0

This has already been answered before but...
Part AChorus:Expontential growth = b*a^x b = 15a = 1.12 (a= r+1), r = 12%
Which gives a function of f(x) = 15*1.12^x

BandLinear growth = ax+ba = 2b = 30
Which gives a function of g(x)=2x+30
Part B:f(9) = 15*1.12^9 = 41.59g(9) = 2*9+30 = 48
Part C:This is probably problem solving, where you're allowed to use calculators and other softwares.
Therefore you can use different softwares, and make f(x) = g(x).I did this, and got it to 10.95427141

You might be interested in

Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for ea

Kazeer [188]

Answer:896.9

Step-by-step explanation:

Let x denotes excess premium over claims

$E\left ( x|husband survives\right )$ , There are two possibilities

(i)Only husband survives

This can be possible with a possibility of 0.01

Claims=10,000

Premium collected $=2\times 500=1000$

Thus x=1000-10,000=-9000

(ii)Both husband and wife survives

This can occur with a probability of 0.96

Here claims will be 0 as both survives

Premium taken=1000

thus x=1000

The probability that the husband survives is the sum of above cases

=0.96+0.01=0.97

Hence the desired conditional Expectation $E\left ( x|Husband survives\right ) =0.01\times \left ( -9000\right )+0.96\times \left ( 1000\right )=896.9$