Answer:
C) 80 milliamperes
Step-by-step explanation:
The amount of current flowing through a circuit is directly proportional to the amount of voltage applied across the circuit. The relation between current(I) and voltage(V) can be expressed as:
Here, 
is the proportionality constant. It is given that, when voltage is 2 volts, 40 milliamperes(
amperes) current flow through the circuit. Using these values we can find the value of proportionality constant. i.e.
Using this value, we can establish the relation between I and V as:
Now, we need to calculate value current (I) if voltage is equal to 4 volts. Substituting V = 4 in above equation, we get:
Thus, the value of current will be 80 milliamperes
Subtract 379 from both sides.
that gives us: 
divide both sides by -24 which equals: x = 13.
13 weeks
Answer:
a. 0
b. Yes
c. The manufacturers claim is not plausible
d. 0.3446
e. A sample mean life time of 39.8hr is not unusually short.
f. The manufacturers claim us plausible
Step-by-step explanation:
Please see attachment
If there are real roots to be found for this polynomial, the Rational Root Theorem and synthetic division are the best way to find them. I teach from a book that uses c and d for the possible roots of the polynomial. C is our constant, 2, and d is the leading coefficient, 1. The factors of 2 are +/- 1 and +/-2. The factors for 1 are +/-1 only. Meaning, in all, there are 4 possibilities as roots for this polynomial. But there are only 3 total (because our polynomial is a third degree), so we have to find the first one, at least, from our possibilities above. Let's try x = -1, factor form (x + 1). If there is no remainder when we do the synthetic division, then -1 is a root. Put -1 outside the "box" and the coefficients from the polynomial inside: -1 (1 2 -1 -2). Bring down the first coefficient of 1 and multiply it by the -1 outside to get -1. Put that -1 up under the 2 and add to get 1. Multiply 1 times the -1 to get -1 and put that -1 up under the -1 and add to get -2. -1 times -2 is 2, and -2 + 2 = 0. So we have our first root of (x+1). The numbers we get when we do the addition along the way are the coefficients of our new polynomial, the depressed polynomial (NOT a sad one cuz it hates math, but a new polynomial that is one degree less than that of which we started!). The new polynomial is
. That can also be factored to find the remaining 2 roots. Use standard factoring to find that the other 2 solutions are (x+2) and (x-1). Our solutions then are x = -2, -1, 1, choice B from above.
Answer:
15% of interest paid on this loan.
Step-by-step explanation:
We are given that Johnny Rockefeller had a bad credit rating and went to a local cash center.
Loan amount of Johnny Rockefeller = $100
He paid the amount in in two weeks = $115
Amount of interest = $115-$100=$15
Let x% be the rate of interest.
So, 
x = 15
Hence 15% of interest paid on this loan.
