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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
Step-by-step explanation:
It shows that the content of dietary fiber is negatively correlated to the blood cholesterol of college student, as the correlation coefficient is negative. However, the r=-0.45 shows the two factors are lowly correlated (absolute value of r between 0.3 and 0.5)
Using simple interest, it is found that the interest rate for the 12-month loan is of 6.74%.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
In this problem, we have that the parameters are given by:
t = 1, A(0) = 1900, A(t) = 12 x 169 = 2028.
We have to solve for r to find the APR, hence:
A(t) = A(0)(1 + rt)
2028 = 1900(1 + r)
1 + r = 2028/1900
1 + r = 1.0674.
r = 0.0674.
Hence, the interest rate for the 12-month loan is of 6.74%.
More can be learned about simple interest at brainly.com/question/25296782
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