Answer:
x = 7/5 or x = (-7)/5
Step-by-step explanation:
Solve for x over the real numbers:
49 - 25 x^2 = 0
Multiply both sides by -1:
25 x^2 - 49 = 0
x = (0 ± sqrt(0^2 - 4×25 (-49)))/(2×25) = ( ± sqrt(4900))/50:
x = sqrt(4900)/50 or x = (-sqrt(4900))/50
sqrt(4900) = sqrt(4×25×49) = sqrt(2^2×5^2×7^2) = 2×5×7 = 70:
x = 70/50 or x = (-70)/50
70/50 = 7/5:
x = 7/5 or x = (-70)/50
(-70)/50 = -7/5:
Answer:x = 7/5 or x = (-7)/5
Answer: A = 0.22
F = 19.78
Step-by-step explanation:
Let Organic Free Trade coffee = F
It normally sells for $8.90 per pound. That is 8.9F
Let Arabian Mocha coffee = A
It normally sells for $13.40 per pound. That is 13.4A
The mixture to create 20 pounds of a coffee that can sell for $8.90 per pound.
Also, they want to create 20 lbs of coffee that can sell for $8.9/lb. If we multiply each kind of coffee blend to be mixed by their respective amounts (in pounds) to be mixed then their sum should be equal to the total cost of the new coffee created, which is the selling price for the new coffee multiplied by the total amount (in pounds) created. That is,
F + A = 20 ......(1)
8.9F + 13.4A = 8.9 × 20.......(2)
Multiply equation 1 will 8.9
8.9F + 8.9A = 178
8.9F + 13.4A = 178
Eliminate F using simultaneous equation. That is eqn 2 - eqn 1
4.5A = 1
A = 0.22
Substitute A in equation 1
F = 20 - 0.22
F = 19.78
Answer:
One sample t test
Step-by-step explanation:
A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :
Test statistic = (xbar - μ) ÷ (σ/sqrt(n))
Where, xbar = sample mean ;
μ = population mean
σ = population standard deviation
n = sample size
Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level
Answer:
$30341.88
Step-by-step explanation:
Because it says simple interest, use the formula I = Prt.
(I is interest, r is the % rate as a decimal, t is the time)
So, you have to solve the equation,
1755 = P (0.065)(9)
Since 0.065 x 9 = 0.585, the equation can be simplified to
1755 = 0.585P
Then, to get P, you divide both sides by 0.585
P = 1755/0.585 = $30341.88
The answer should be 0.06
