Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or 
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)
And x=5200-y
Hence, money invested at 4% is $3800 and money invested at 3% is $1400
<span>With the variable "y" being used to represent the total cost of going to the park for a year, the first equation would read "y = 50" since it is a one-time, flat cost. The second equation would be "y = 4x", with "x" being used to represent the number of times the person visited the park during the year multiplied by the $4 cost per visit.</span>
Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
Answer:
The vertex is (-1, 3)
Step-by-step explanation:
The form this is in is called vertex form. We can express the equation using its base form.
y = a(x - h)^2 + k
Now we can identify the vertex as (h, k). By looking at the equation, we can see h is equal to -1 and k is equal to 3.
If the angle is 90 degrees, then the complement would be 27, because 90 / 3 = 30, and 30 - 3 = 27. Basically, you divide the angle by 3 and subtract 3 to find the complement if this is the case.
