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Lisa [10]
3 years ago
8

Cooper has $200 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in

1 year? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.​
Mathematics
2 answers:
taurus [48]3 years ago
6 0

Answer:

The interest is $20 per year

Step-by-step explanation:

miskamm [114]3 years ago
5 0

Answer:

$20

Step-by-step explanation:

using the formula you gave, you can plug in the numbers, i=200 * .10 * 1 since you start with 200 dollars, have a 10% interest rate, and it has been one year, then solve to get 20

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

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An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations
Hoochie [10]

Answer:

a) E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

b) E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

Part a

We have the following distribution function:

Y        0         1         2       3

P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

5 0
3 years ago
Find tan(30) (its a right triangle)
Travka [436]
Use the 30-60-90 triangle.

Tan is opposite over adjacent.

\frac{1}{ \sqrt{3} }
Square roots cannot be on the bottom.

\frac{1}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }
The bottom cancel out the square root bar.

Your answer is:

\frac{ \sqrt{3} }{3}
(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)

8 0
3 years ago
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