Answer:
18.7 years
Step-by-step explanation:
This is a compound interest problem and the following variables have been given;
Principal = 4000; this is the amount o be invested
APR = 9%; this is the compound interest to be earned
Accumulated amount = 20,000
We are required to determine the duration in years. We apply the compound interest formula;


The next step is to introduce natural logarithms in order to determine n;

The number of years required is thus 18.7 years
Answer:
7/20
Step-by-step explanation:
Since y varies directly with x, the ratio of y to x is proportional.
... y / 7 = (1/4)/(5)
... y / 7 = 1 / 20 . . . . simplify
... y = 7/20 . . . . . multiply by 7
Find the x and y intercepts or any other 2 points. (I advise you finding the y intercept though.)
then calculate for slope using:
y(2) - y(1)
________
x(2) - x(1)
The (2) and (1) are not exponents they are small numbers at the bottom of the numbers.
The slope is: 4
An equation that passes through the coordinates (3, -1) and has a slope of 2 would be y=2x-7 because since the slope is positive and is 2/1 the slope rises by 2 and runs 1 to right and eventually passes (3, -1) when it starts at -7 on the y-intercept. Answer: y=2x-7
Hope this helps you and would love brainliest!
There is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.
Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.
First we have to form hypothesis.


We have to find the respective probabilities.
=104/11037
=0.0094
=189/11034
=0.0171
Now their respective margin of errors.
=
=0.0009
=
=0.0011
Hence the distribution of the differences,they are given by:
p=
=0.0094-0.0171
=-0.0077
S=
=
=0.00305
z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)
=(-0.0077-0)/0.00305
=-2.52
p value will be 0.005.
p value of 0.05 significance level.
z=1.96.
1.96>0.005
So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.
Hence there is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.
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