Me asap i’ll give 25 points to whoever gets it !

Step-by-step explanation:

The general equation is y = a*b^x

The specific equation is

100000 = 78918 * 1.06^x

y is the goal (100000 people)

a is the beginning number of people at the time the prize is offered.

a = 78918

b = the base increase per year. (1.06 in this case)

x is the number of years. Just for fun, let's solve for x even though you are not asked for it.

100000 = 78918 * 1.06^x  Divide both sides by 78918

100000/78918 = 1.06^x

1.26713 = 1.06^x                Take the log of both sides.

log(1.26713) = x * log(1.06) Divide both sides by log(1.06)

log(1.26713)/log(1.06) = x

x = 4.06 years.

The approximate difference in time is 2 years.

Step-by-step explanation:

The equation for Calvin's account is

To solve for c, we first divide both sides by 400.  This gives us:

Using logarithms to solve this, we have

Dividing both sides by 12, we get c = 9.9998 or around 10 years.

The equation for Makayla's account is

Dividing both sides by 300, we get

Using logarithms to solve this, we have

Dividing both sides by 4, we get

m = 11.9999 or about 12.

This means Makayla had her money in the account 12-10 = 2 years longer than Calvin.