Given:
x² + 11x + 121 = x + 96
First, we need to convert it into a quadratic equation.
x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0
a = 1 ; b = 10 ; c = 25
Quadratic formula:
x = (-b <u>+</u> (√b² - 4ac)) ÷ 2a
The discriminant is under the radical sign
discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0
Correct answer is A. 0
Answer:
The Bison is faster by 10 mph.
In 1 minute, the bison runs 3, 520 feet
.
In 60 minutes, the bison would run 3520*60 feet = 211, 200 feet per hour.
These are equivalent to 40 miles per hour since 1 mile is equivalent to 5, 280 feet. Hope this helps! ^-^
Answer: 28.5 square units.
Step-by-step explanation: Separate the figure into a rectangle and a triangle. Count the length and width of the rectangle. The length of the rectangle is 8 units and the width is 3 units. To find the area use the formula l*w. 8*3=24.
Next find the area of the triangle section. The triangle is 3 units tall and 3 units wide. To find the area use the formula 1/2(l*w). 3*3=9. 9/2=4.5.
Finally add the areas of the rectangular section and the triangular section. 24+4.5=28.5.
Answer:
<u>x = 30°</u>
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
<u>x = 30°</u>
The Compound Interest of 10400 at 12.7% for 4 years is 6378.
The principal amount is given as 10400.
The rate of interest is given as 12.7%.
The time period to be calculated is given as 4 years.
The compound interest for the given above is to be calculated.
<h3>What is
compound interest?</h3>
Compound interest is the interest that we earn both on the principal amount and the interest we earn.
The formula used to calculate compound interest is:
![P [ (1 + \frac{R}{100} )^n - 1 ]](https://tex.z-dn.net/?f=P%20%5B%20%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%29%5En%20-%201%20%5D)
Where P = principal amount, R = rate of interest, and n = number of years.
We have,
P = 10400
R = 12.7%
n = 4 years
Compound interest:
![P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]](https://tex.z-dn.net/?f=P%20%5B%20%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%29%5En%20-%201%20%5D%5C%5C%5C%5C10400%20%5B%20%281%20%2B%20%5Cfrac%7B12.7%7D%7B100%7D%20%29%5E4%20-%201%20%5D)
Now,
10400 [ ( 1 + 0.12.7 )^2 - 1 ]
10400 [ 1.127^4 - 1 ]
10400 [ 1.61322 - 1 ]
10400 x 0.6132
6377.56
Rounding to the nearest whole number.
We have,
Compound Interest = 6378.
Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.
Learn more about Compound Interest here:
brainly.com/question/13155407
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