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3 years ago

I = prt (simple interest). Find the value of I given that p=300, r=0.14, and t=2

Mathematics

2 answers:

Andrej [43]3 years ago

7 0

300x0.14=0.42
0.42x2=0.84

never [62]3 years ago

3 0

Hi there, Convert r percent to r a decimal, r=R/100=0.14%/100=0.0014 per year. Now, we have to solve using a equation, the equation is A=300(1+(0.0014*2))=300.84, Therefore, the answer is $300.84

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Evaluate the expression when y = 2.

fomenos

Well.... collect like terms
y+(4+7) than you simplify it y+11 so what is 11+7??
its 18!!!

3 0

3 years ago

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 32% of all homeowners are ins

Bumek [7]

Answer:

$P(X = 0) = 0.2138$

$P(X = 1) = 0.4025$

$P(X = 2) = 0.2841$

$P(X = 3) = 0.0891$

$P(X = 4) = 0.0105$

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So 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.

32% of all homeowners are insured against earthquake damage.

This means that $p = 0.32$

Four homeowners are to be selected at random.

This means that $n = 4$

Find the probability distribution of X.

This is the probability of each outcome

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

$P(X = 0) = C_{4,0}.(0.32)^{0}.(0.68)^{4} = 0.2138$

$P(X = 1) = C_{4,1}.(0.32)^{1}.(0.68)^{3} = 0.4025$

$P(X = 2) = C_{4,2}.(0.32)^{2}.(0.68)^{2} = 0.2841$

$P(X = 3) = C_{4,3}.(0.32)^{3}.(0.68)^{1} = 0.0891$

$P(X = 4) = C_{4,4}.(0.32)^{4}.(0.68)^{0} = 0.0105$

6 0

3 years ago

In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people

Aleksandr [31]

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d) 1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

First identify the digit to be rounded.
If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a) to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place = 1,360,760,000

b) to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c) to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d) to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

7 0

3 years ago

Read 2 more answers

What is 2(3y+4)=20-3y

marshall27 [118]

<span>2(3y+4)=20-3y y is equal to
4/3</span>

5 0

3 years ago

Read 2 more answers

How do you find x? i know the answer is 8.9 (bc of answer key) but how do i get to that?

murzikaleks [220]

Answer:

x = 8.9

Step-by-step explanation:

We can see in the problem that the diameter is 37.8.

Radius is 1/2 of the diameter.

d = 2r

So in this problem r = 37.8/2 or r = 18.9.

Then you can see that the given side of the triangle is 10.

Since we know that that line is also the radius since it goes from the edge of the circle to the center, we can just subtract 10 from 18.9 to get 8.9.

4 0

3 years ago