Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep
2 answers:
Answer:
The correct option is d.
Step-by-step explanation:
It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.
Formula of simple interest:
Where P is principal amount, r is rate of interest in percentage and t is time in years.
The interest paid by Zack is $1,087.
The total amount of money he will repay is
Therefore option d is correct.
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Answer:
A 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].
Step-by-step explanation:
We are given that Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured.
For the 25-mil film, the sample data result is: Mean Standard deviation 1.15 0.11 and For the 20-mil film the data yield: Mean Standard deviation 1.06 0.09.
Firstly, the pivotal quantity for finding the confidence interval for the difference in population mean is given by;
P.Q. = ~
where, = sample mean speed for the 25-mil film = 1.15
= sample mean speed for the 20-mil film = 1.06
= sample standard deviation for the 25-mil film = 0.11
= sample standard deviation for the 20-mil film = 0.09
= sample of 25-mil film = 8
= sample of 20-mil film = 8
= population mean speed for the 25-mil film
= population mean speed for the 20-mil film
Also, =
= 0.1005
<em>Here for constructing a 98% confidence interval we have used a Two-sample t-test statistics because we don't know about population standard deviations.</em>
<u>So, 98% confidence interval for the difference in population means, (</u><u>) is;</u>
P(-2.624 < < 2.624) = 0.98 {As the critical value of t at 14 degrees of
freedom are -2.624 & 2.624 with P = 1%}
P(-2.624 < < 2.624) = 0.98
P( <
< ) = 0.98
P( < (
) <
) = 0.98
<u>98% confidence interval for</u> () = [
,
]
= [ ,
]
= [-0.042, 0.222]
Therefore, a 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].
Since the above interval contains 0; this means that decreasing the thickness of the film doesn't increase the speed of the film.
Answer:
Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.
Step-by-step explanation:
When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.
In this question aspect ratio of television is given as 16:9
This can be written as or
Screen of the T.V. is 65 inch which is the diagonal length of the screen.
We know from pythagoras theorem in a right angle triangle
Now height of the T.V.will be
now area of the T.V.=W×H=39×21.94=855.66 square inch
Answer:
A.
B. $2,307.69
Step-by-step explanation:
You are given the formula
where V = investment earning simple interest
p = principal,
r = interest rate
t = time
So,
A.
B. r = 0.06 (or 6% as percent)
V = $3,000
t =5
so,