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MatroZZZ [7]
3 years ago
8

A house purchased for $216,500 gains 2% of its value every year. If this growth rate continues, in how many years will the house

be worth twice its original value
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer: 36 years

Step-by-step explanation:

You can use the Rule of 72 to calculate how long it might take the house to double in value.

The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:

= 72 / 2

= 36 years

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You simplify a fraction by finding it's greatest common factor. A greatest common factor is what both numbers are divisible by. If they can both be divided by two, then you've simplified them a little bit. Keep going until you can't find a common number that can be divided by the two, and you've got your simplified fraction. For example, 10/5 = 1/2 since both 10 and 5 is divisible by 5.
5 0
3 years ago
A polling organization contacts 2077 adult women who are 30 to 70 years of age and live in the United States and asks whether or
vfiekz [6]

Answer: C. Adult women who are 30 to 70 years of age and live in the United States.

Step-by-step explanation:

The population in the study is the adult women who are 30 to 70 years of age and live in the United States. In statistics, a population is the whole or entire pool of items or event from which a statistical sample is drawn. A population may refer to an entire group of people, objects, events, church visits, food consumed or measurements. In the case above the population from which the sample was drawn is the adult women from age 30 to 70 that lived in the United States, no sample was drawn outside this population.

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3 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
PtichkaEL [24]
Answer: The answer is A

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7 0
3 years ago
Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
lisov135 [29]

Answer:

P(X = 0) = 0.03125

P(X = 1) = 0.15625

P(X = 2) = 0.3125

P(X = 3) = 0.3125

P(X = 4) = 0.15625

P(X = 5) = 0.03125

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which 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.

Fair coin:

Equally as likely to be heads or tails, so p = 0.5

5 tosses:

This means that n = 5

Probability distribution:

Probability of each outcome, so:

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

P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125

P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625

P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125

P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125

P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

5 0
2 years ago
How do I add this fraction 7 9/12 + 4 5/9
vovangra [49]
Make the same denominator (12) and then make them both non mixed numbers 93/12 and 54.6666.../12

so 147.666.../12

12.305/12
7 0
3 years ago
Read 2 more answers
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