Answer:
So interest rate is 8% per annum
Step-by-step explanation:
Principal amount = $3,006
Amount at end = $3,967.92
Time = 4yrs
interest money = ($3967.92 - $3006)
also equal to = 4 * (x/100) * $3,006
Where x is the interest rate per annum
So, 4 * (x/100) * $3,006 = ($3967.92 - $3006)
x = 8%
So interest rate is 8% per annum
8.
If you set up the problem as a ratio and cross multiply, you will find that you may buy 8 lemons for 60 cents.
Set up the equation like this:
2/15 to x/60.
Multiply 2 with 60, then proceed to divide by 15 in order to find x.
Hope this helps!
This pattern appears to alternate between doubling and subtracting by 1.
To get from 3 to 6, we multiply by two.
To get from 6 to 5, we subtract one.
To get from 5 to 10, we multiply by two.
To get from 10 to 9, we subtract one.
To get from 9 to 18, we multiply by two.
To get from 18 to 17, we subtract one.
Therefore, next we need to multiply by two.
17 x 2 = 34
So, the next number is 34.
To find the number after, we subtract one.
34 - 1 = 33
Thus, the number after is 33.
In conclusion, the next two numbers are 34 and 33.
Answer:
The answers are below
Step-by-step explanation:
1. H0: rho = 0
H1: rho not equal to 0
2. I will add the scatter plot as an attachment
3. ΣX = 523,
ΣY = 1055
ΣX² = 46023
ΣY²= 430407
ΣXY = 111448
n = 7
The correlation coefficient r =
r = 7(111448)-(523)(1055)/√7(46023)-(523)² × √7(430407)-(1055)²
r = 780136-551765/√322161-273529√3012849-1113025
= 228371/220.53*1378.34
= 228371/303965.32
r = 0.751
4. Test statistics
t = r√n-2/√1-r²
= 0.751√5/√0.5640
= 1.679/0.660
= 2.543
5. P value
Degrees of freedom n-2 = 5
T dist(2.543,5,2)
The p value is less than 0.05 so we reject null hypothesis. There is enough evidence to show a linear correlation between budgets and gross receipts.
First photo is to show the work for the semi-private lessons and the second photo is for the private lessons.