Answer:
7% and 5%
Step-by-step explanation:
The computation of the two rates of interest is shown below;
The interest rate for $3,000 be x%
And, for $4,500 the interest rate is (x -2%)
The total interest earned is
= x% of $4,500 + (x - 2)% of $4,500
So, the two rates of interest is
x% of $4,500 + (x - 2)% of $4,500 = $435
30x + 45(x - 2) = $435
30x + 45x - 90 = $43
75x = $25
x = 7%
x - 2 = 7 - 2
= 5%
Answer:
-tan80°
Step-by-step explanation:
20 + 5 + 2 + 3 + 1 minus 1 =30
We have that the value of x in the diagram at the right is
x=109
From the question we are told
Use this idea to find the value of x in the diagram at right.
From The diagram we have a Triangle with its base angles equal
Generally the equation for the Triangle is mathematically given as
180=2b+y
Where
b=Base angles
Since Angle on a straight line is 90
Therefore
180=71+x
x=109
In conclusion
The value of x in the diagram at the right is
x=109
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Answer:
The required sample size for the new study is 801.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

25% of all adults had used the Internet for such a purpose
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What is the required sample size for the new study?
This is n for which M = 0.03. So






Rounding up:
The required sample size for the new study is 801.