Answer:
The principal amont was $35,000
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:

We want to find P. So





The principal amont was $35,000
Using conversions between odds and probabilities, we have that:
1. A) 4:21
2. 0.952 probability that a bag of flour passes inspection.
3. C) 1:39
4. 41:59.
5. 14:11
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- An odd is given by a:b, in which <u>a is the number of successes and b is the number of failures</u>.
Item 1:
- Probability of 0.16, thus, for 100 trials, <u>16 successes and 84 failures</u>, and the odd is:
16:84, which, simplifying by 4, is 4:21.
Item 2:
- Odd of 20:1 means that 20 + 1 = <u>21 trials, there are 20 successes</u>, thus, the probability is:

0.952 probability that a bag of flour passes inspection.
Item 3:
- Probability of 0.025, thus, for 100 trials, <u>2.5 successes and 97.5 failures</u>, and the odd is:
2.5:97.5, which, simplifying by 2.5, is 1:39.
Item 4:
- 59% probability that he will take the longest trail, thus 100 - 59 = 41% probability of him <u>not tanking the longest trail</u>, thus, the odds against him taking the longest trail is 41:59.
Item 5:
- Probability of 0.56, thus, for 100 trials, <u>56 successes and 44 failures</u>, and the odd is:
56:44, which, simplifying by 4, is 14:11.
A similar problem is given at brainly.com/question/21094006
Answer: c) -4
Step-by-step explanation:
Get the variables on one side of 3x+y=-2x+8 and the constants on another side:
3x+y=-2x+8
(3x+y)+2x=(-2x+8)+2x
5x+y=8
Now, multiply 5x+y=8 by -2:
-2(5x+y=8)
-10x-2y=-16
Add this equation to -3x+2y=-10:
(-10x-2y=-16)+(-3x+2y=-10)
-13x=-26
x=2
Plug x=2 into -3x+2y=-10:
-3(2)+2y=-10
-6+2y=-10
2y=-4
y=-2
Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4
First one is wrong bcs it should be smaller than the answer.
The second one is correct bcs to find the second number we need to do inverse operation, here is subtraction.
Third one is correct bcs this is the same (but if u r searching only for relating not same, then the third kind of wrong)
The last one is correct
Answer:
c
Step-by-step explanation: