I will give brainiest to whoever answers correctly !!
1 answer:
Step-by-step explanation:
A) In order to calculate the interest , we can use the following formula :
Where P is the interest , P0 is the initial value, i is the interest and t is the time.
So , using P0 =600,i= 0.0005768 and t=27 ,we have :
Calculating only the interest, we have :
So the interest is $9.41.
B) He paid the final value calculated above, that is , $609.41.
PLEASE MARK ME AS BRAINLIEST
You might be interested in
Answer:
0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
. So
If the manager is correct, what is the probability that the proportion of flops in a sample of 404 released films would be greater than 4%?
This is the pvlaue of Z when X = 0.04*404 = 16.16. So
has a pvalue of 0.0091
1 - 0.0091 = 0.9909
0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
- The distance between Tom and Jimmy's home is
<u />
Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
- 52 × (4 + t) = 70 × t
52 × 4 = 70 × t - 52 × t = 18 × t
The time it take Jimmy to reach the café, <em>t</em> = minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + ) + 70 ×
= 1,617.
- The distance between Tom and Jimmy's home = 1,617.
meters
Learn more about simultaneous equations here: