Answer: x = (sqrt(7) + 2)/3 and
x = ( – sqrt(7) + 2)/3
Explanation:
3x^2 - 4x - 1 = 0
Divide both sides by 3:
3x^2/3 - 4/3x - 1/3 = 0/3
x^2 - 4/3x - 1/3 = 0
x^2 - 4/3x = 1/3
x^2 - 4/3x + (2/3)^2 = 1/3 + (2/3)^2
(x - 2/3)^2 = 1/3 + 4/9
(x - 2/3)^2 = 7/9
Sqrt both sides:
x - 2/3 = sqrt (7/9)
x - 2/3 = |sqrt(7)/3|
Set x -2/3 = sqrt(7)/3
=> x = (sqrt(7) + 2)/3
Set x - 2/3 = - sqrt(7)/3
=> x = ( - sqrt(7) + 2)/3
700 x .03 x 20 = 420
420 + 700
1120 is in the account after 20 years
let w = width and 3w = length
perimeter is the distance around the outside of the object or P = 2L + 2W
2(3w) + 2w = 24
6w + 2w= 24
8w = 24
w= 3
3w= 9
Width is 3in. and length is 9in.
Answer:
AB=15 BD=18
Step-by-step explanation:
AB is 15 because AB=AC and AC is 15
BD:
Using the Pythagorean Theorem
10²+15²=√325
√325=18
10 is from AB-CD
15 is the height which is AC
Based on the calculations, the interest rate on the stock in four (4) years is equal to 7.1%.
<u>Given the following data:</u>
Amount borrowed (Principal) = $22,000.
Simple interest, I = $78.40.
Time = 4 year.
To determine the interest rate on the stock in four (4) years:
<h3>How to calculate simple interest?</h3>
Mathematically, simple interest can be calculated by using this formula:
I = PRT
<u>Where:</u>
- S.I is the simple interest.
- P is the principal or starting amount.
- T is the time measured in years.
Making R the subject of formula, we have:
R = I/PT
Substituting the given parameters into the formula, we have;
R = 6260/(22,000 × 4)
R = 6260/(88,000)
Interest rate = 0.071 = 7.1%.
Read more on simple interest here: brainly.com/question/24341207
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