Tracy should deposit 1,369.86 to earn 3,000 in 5 years at 4% interest rate compounded 4 times a year
Given:
Compounded Interest = 3000
Term = 5 year
Frequency = 4 times a year
interest rate = 4%
Principal = unknown.
C.I = Principal × (1 + rate)^t
3000 = Principal × (1.04⁴)⁵
3000 = Principal × 1.17⁵
3000 = Principal x 2.19
3000/2.19 = Principal
1,369.86 = Principal
Answer:
Length of arc between two cars = 7 feet (Approx.)
Step-by-step explanation:
Given:
Radius of carinal wheel = 18 feet
Number of car equal distance = 16
Find:
Length of arc between two cars
Computation:
Angle between two cars = 360 / 16
Angle between two cars = 22.5°
Length of arc = [θ/360][2πr]
Length of arc between two cars = [22.5/360][(2)(3.14)(18)]
Length of arc between two cars = [0.0625][(6.28)(18)]
Length of arc between two cars = [0.0625][113.04]
Length of arc between two cars = 7.0625
Length of arc between two cars = 7 feet (Approx.)
Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)
Answer:
2 feet
Step-by-step explanation:
12 feet in 6 minutes. 12/6=2