Answer:
approximately 43 - 44 minutes exact
Answer:
The balance after the payment is $1263.84.
Step-by-step explanation:
The formula for amount after compound interest is

Where, P is principal, r is rate of interest, n is number of time interest compounded in a period, number of periods.
According to the given information,
P=1455.69
r=0.128
n=365
t=45
Put these values in the above formula,


The amount after compound interest is $1478.84. Add late fee chages $35 in this amount and subtract the payment of $250. So, the balance amount after payment is

Therefore the balance after the payment is $1263.84.
To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
Answer:
7/8:1/4
Step-by-step explanation:
0.875 is equal to 7/8 and you can’t simplify 7/8 or 1/4 any more so the simplified answer is 7/8 : 1/4
Answer:
72.66 in³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is given by V = πr²h.
Here we have V = πr²h = π([2.8]/2 in)²(11.8 in) = π(1.96 in²)(11.8 in) = 23.1 π in³, or approximately 72.66 in³