C would be 16 and b would be 8 square root of 3 so the answer would be a
Answer:
1/204.
Step-by-step explanation:
That would be
6/18 * 5/17 * 4/16 * 3/15
= 1/3 * 1/4 * 1/5 * 5/17
= 5/1020
= 1/204.
Answer:
2x + 4y = 12 and y = -1/2x + 3
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Adam should invest $15516 after 18 years.
<u>Explanation:</u>
Given:
Amount(18) = $20000
Rate of Interest, r = 1.41%
Time, t = 18 years
n = 365 (compounded daily)
General equation of amount that is compounded daily:

Solving for A₀:

Substituting the values:

Therefore, Adam should invest $15516 after 18 years.