Answer:
5/17
Step-by-step explanation:
This is a question to calculate probability from odds. The formula is given as:
A formula for calculating probability from odds is P = Odds / (Odds + 1)
From the question , we are told that the odds of receiving a gift is
= 5:12
The probability of Jessica receiving a gift =
Probability = Odds / (Odds + 1)
P = 5/12 / ( 5/12 + 1)
P = (5/12)/ (17/12)
P = 5/12 × 12/17
= 5/17
Therefore, the probability of Jessica. receiving a gift is 5/17.
Answer:
The maturity value is $2,006,937.50
Explanation:
Parameters:
<em>Prinicpal, P = $2,000,000</em>
<em>Rate, R = 9.25%</em>
<em>Time, T = 9 months</em>
The maturity value is given as the sum of the interest and principal
Interest, I = PRT/100
= 200000 * 9.25 * 0.75/100
= $6, 937.50
Maturity Value = $2,000,000 + $6,937.50
= $2,006,937.50
Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
Answer:

Step-by-step explanation:
I am thinking of n consecutive positive integers. The smallest of these numbers is m.
So,
- the first number,
- the second number,
- the third number,- ...
- the nth number.
The list of n consecutive positive integers is

The largest integer is 
Answer:
N/A
Step-by-step explanation:
Please be more specific, which is base and which is height