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Answer:
(b) $1.15
Step-by-step explanation:
The expected value is the sum of products of payoff and probability:
$0×0.15 +0.50×0.5 +1.0×0.2 +2.0×0.1 +10×0.05
= $0 +0.25 +0.20 +0.20 +0.50
= $1.15 . . . . expected value of the scratch ticket
We have been given that Bobby's investment of $225,000 loses value at a rate of 3% per year. We are asked to find the value of the investment after 10 years.
We will us exponential decay function to solve our given problem.
We know that an exponential function is in form
, where,
y = Final amount,
a = Initial amount,
r = Decay rate in decimal form,
x = Time.
Let us convert 3% into decimal.

Upon substituting
,
and
, we will get:




Upon rounding to nearest dollar, we will get;

Therefore, the value of the investment after 10 years would be
.
First, find a common denominator: 40
then, convert the fractions: 30/40 and 32/40
between those two, it would be 31/40
answer: 31/40
Distance between points (3, -16) and (-10, -12) is 13.6015