Answer:
$2500 - 2%
$1500 - 4%
Step-by-step explanation:
Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.
As an equation, they would look like this:
2500x+1500(x+0.02)=110
Now solve
2500+1500x+30=110
4000x=80
x=0.02
That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.
Answer: FIRST OPTION
Step-by-step explanation:
<h3>
The missing picture is attached.</h3>
By definition, given a Quadratic equation in the form:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.
The Quadratic Formula is the following:
![x=\frac{-b \±\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5C%C2%B1%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
In this case, the exercise gives you this Quadratic equation:
![5x^2 + 3x - 4 = 0](https://tex.z-dn.net/?f=5x%5E2%20%2B%203x%20-%204%20%3D%200)
You can identify that the numerical coefficients are:
![a=5\\\\b=3\\\\c= - 4](https://tex.z-dn.net/?f=a%3D5%5C%5C%5C%5Cb%3D3%5C%5C%5C%5Cc%3D%20-%204)
Therefore, you can substitute values into the Quadratic formula shown above:
![x=\frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\x=\frac{-3 \±\sqrt{(3)^2-4(5)(-4)} }{2(5)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5C%C2%B1%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-3%20%5C%C2%B1%5Csqrt%7B%283%29%5E2-4%285%29%28-4%29%7D%20%7D%7B2%285%29%7D)
You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.
(123.7*10^9)/(4*10^6)=$30,925
i think thats correct
Hello.
The asnwer is ASA -
If two angles and the included side are equal to two angles and the included side of another triangle.
Have a nice day
Answer:
30 degrees
Step-by-step explanation:
THe angles marked 2x + 20 and 80 are corresponding angles so they are congruent.
2x + 20 = 80
2x = 60
x = 30 degrees