Answer: 2285.71
Step-by-step explanation:
Rearranging the simple interest formula, we have P = A / (1 + rt), where P is the Principal, r is the annaul rate and t is the time period.
r = R/100 = 5%/100 = 0.05 per year.
Solving the equation:
P = 3200 / ( 1 + (0.05 × 8)) = 2285.7142857143
Answer: 313.1 feet
Step-by-step explanation:
\tan 82=\frac{x}{44}
tan82=
44
x
44\tan 82=x
44tan82=x
x=313.0763\approx \mathbf{313.1}\text{ feet}
x=313.0763≈313.1 feet
39 students....39/4 = 9 remainder 3
39/5 = 7 remainder 4
ur answer is 39
Answer:
Two times at (-1,0) and (2.5,0)
Step-by-step explanation:
When the graph intersects or touches x-axis, y is equal to 0
so y = -2x^2 + 3x + 5
=> 0 = -2x^2 + 3x + 5
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = -2
b = 3
c = 5
substitute in the formula
x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)
x = [-3 +/- √(9 + 40)]/(-4)
x = [-3 +/- 7]/(-4)
x1 = (-3 + 7)/(-4) = 4/-4 = -1
x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5
so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times
