There are 2 parts to this question. 1. One would be to calculate the interest based on your balance and 2. then to add the late fee. Use the formula i = prt to calculate your simple interest. <em>i</em> represents the interest you will pay, <em>p</em> stands for the principal (balance on your credit card), and <em>t</em> stands for the period of time (related to a period of a year/annual percentage rate). The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14. So, $1998 + $24.14 + $37 = $2059.14 balance.
Answer:
1.) 8.09g ; 2) 206.7 years
Step-by-step explanation:
Given the following :
Half-life(t1/2) of Uranium-232 = 68.9 years
a) If you have a 100 gram sample, how much would be left after 250 years?
Initial quantity (No) = 100g
Time elapsed (t) = 250 years
Find the quantity of substance remaining (N(t))
Recall :
N(t) = No(0.5)^(t/t1/2)
N(250) = 100(0.5)^(250/68.9)
N(250) = 100(0.5)^3.6284470
N(250) = 100 × 0.0808590
= 8.0859045
= 8.09g
2) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?
Using the relation :
N / No = (1/2)^n
Where N = Amount of remaining or left
No = Original quantity
n = number of half-lifes
N = 12.5g ; No = 100g
12.5 / 100 = (1/2)^n
0.125 = (1/2)^n
Converting 0.125 to fraction
(1/8) = 1/2^n
8 = 2^n
2^3 = 2^n
n = 3
Recall ;
Number of half life's (n) = t / t1/2
t = time elapsed ; t1/2 = half life
3 = t / 68.9
t = 3 × 68.9
t = 206.7 years
Answer:
Step-by-step explanation:
Given that twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006).
considering the total number of vehicles, probability for a randomly drawn vehicle not covered by insurance = 0.23
Each vehicle can be treated as independent of the other
Hence X no of vehicles not covered by insurance is Binom with n = 35 and p - 0.23
a) the expected number of these automobiles that are not covered by insurance=E(x) =
b) the variance
=
Std dev = square root of variance = 2.4897
Either c or d but most likely c
