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guajiro [1.7K]
3 years ago
11

Lucy deposited $2500 into an account that earns 3% compound interest. How much interest will Lucy earn after 5 years?​

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer: 398.18519

Step-by-step explanation:

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What is the slope of the line through the points (6,-8)And (3,- 4)​
Nina [5.8K]

Answer:

y=(-4/3)x

Step-by-step explanation:

you put the points into this equation to find the slope

(y2-y1)/(x2-x1)

now lets label the points

(6,-8)

x1=6 and y1=-8

(3,-4)

x2=3 and y2=-4

Input into equation

(-4-(-8))/(3-6)=

(-4+8)/(3-6)

4/-3

7 0
3 years ago
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure
Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution 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.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that p = 0.0131

We wanto to find, with n = 100:

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675

P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551

P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that p = 0.0087. So

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

P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174

P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663

P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0
3 years ago
What is <br> 2(3x + 4) = -28
Fynjy0 [20]

Answer:

x= 10/3

or

x= 3.334

Depending on simplified form asked.

Step-by-step explanation:

6x +8 =28

subtract 8 from both sides

6x = 20

divide by 6

x=20 /6

x= 10/3 or x =3.334

<em>if you like my answer, please mark me brainliest !! thanks !! <3</em>

3 0
3 years ago
Read 2 more answers
What is 1103857 times 38219847391028474? It is for my math hw.
diamong [38]
I don't know if this helps but my calculator said 4.2189246e+21
4 0
3 years ago
Read 2 more answers
I NEED HELP! ITS FOR A GRADE
cricket20 [7]
In short the answer is 5/25 or 1/5 either works.

4 0
2 years ago
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