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Crank
3 years ago
15

Perry invested in property that cost him $1500. Five years later it was worth $3000, and $10 years from his original purchase, i

t was worth $6000. Assuming the growth rate remains the same, which type of function could he create to find the value of his investment 30 years from his original purchase?
A. Exponential function
B. Linear function
C. Quadratic Function
D. Trigonometric Function
Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

A

Step-by-step explanation:

A linear function increases/decreases by a certain amount every year. As it changes 1500 over the first 5 years (300 per year) and 3000 over the next 5 (600 per year), this cannot be liner

A quadratic function goes down then up, or vice versa. This consistently goes up, and is therefore not quadratic

A trigonometric function also goes up and down, so it is not trigonometric

Therefore, as an exponential function can keep going up at different rates over time, this is an exponential function

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Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we
klio [65]

Answer:

P(X>9) = 0.3593

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=25, p=0.3089)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

For this case we want this probability:

P(X >9)

And we can use the complement rule like this:

P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]And we can find the individual probabilities like this:

P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974  

P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011  

P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584  

P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02  

P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049  

P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092  

P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138

P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167

P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"  

And we got:

P(X>9) = 0.3593

4 0
3 years ago
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aliina [53]

Answer:

17/20

Step-by-step explanation:

3/5+1/4=12/20+5/20 (you want to find a common denominater, so its easier to add up.)

12/20+5/20=17/20, so Carla has finished washing 17/20 of her laundry.

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Inga [223]

Answer:

1950

Step-by-step explanation:

p: 1500

r: 0.06

n: 1

t: 5

1500(1+ 0.06/1)^5

1500(1.06)^5

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Use proportional relationships to find the answer
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