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Aloiza [94]
3 years ago
9

Interest earned: ? Principal: $800 Interest rate: 6.5% Time: 2 years

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0
So lets remember the formula for interest first.
#lightbulb
here it is <span>A = P(1 + rt)
all we really have to do is plug in our rates, principles, and time into equation.
P = $800
t = 2 years 
r = 6.5% or as a decimal 0.065
now lets look at our new equation that finally has numbers in it

A = 800[1 +(0.065)(2)] first lets take care of the 0.065 and 2 by multiplying them together. thus our new equation.
A = 800(1+ 0.13) then we add the 1 to the 0.13 and get 1.13 
800(1.13) from here we just multiply  and that equals 904
since we are looking for what is earned we take 904 and subtract 800 to get that answer. Here is the math.

904 - 800 = 104 
he made 104 dollars in 2 years! 
hope this is right.
have a good one:)

merry christmas:D
</span><span>
</span>
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Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

12 properties

This means that n = 12

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling no more than 6 properties in one week.

This is:

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002

P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029

P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161

P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537

P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208

P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934

P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

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2 years ago
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