Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
Solving RootIndex 3 StartRoot 8 EndRoot Superscript x we get 
Step-by-step explanation:
We need to find equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x
Writing in mathematical form:
![(\sqrt[3]{8})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B8%7D%29%5Ex)
Solving:
We know 8= 2x2x2= 2^3
and ![\sqrt[3]{x}=x^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Applying these rules:
So, solving RootIndex 3 StartRoot 8 EndRoot Superscript x we get
Keywords: Radical Expression
Learn more about Radical Expression at:
#learnwithBrainly
Complex solutions, namely roots with a √(-1) or "i" in it, never come all by their lonesome, because an EVEN root like the square root, can have two roots that will yield the same radicand.
a good example for that will be √(4), well, (2)(2) is 4, so 2 is a root, but (-2)(-2) is also 4, therefore -2 is also a root, so you'd always get a pair of valid roots from an even root, like 2 or 4 or 6 and so on.
therefore, complex solutions or roots are never by their lonesome, their sister the conjugate is always with them, so if there's a root a + bi, her sister a - bi is also coming along too.
if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows.
C = 2pi *Radius
so first we need the get the radius of the tree which represent by this formula:
Radius = C /2pi = 8/6.2832 = 1.2732 ft
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet
In summary, the diameter of the tree is 2.565 feet.
Answer:
The slope of the line is -7/8
The point slope-form is y+4=(-7/8)(x-7)
The slope-intercept form is y=(-7/8)x+(17/8)
Step-by-step explanation:
You have to find the slope first using m=y2-y1 divided by x2-x1. After you found the slope of the line, you use one of the points to plug it into the point-slope form which is y-y1=m(x-x1). After you have done that, you would have convert this equation into slope-intercept form which is y=mx + b. In order to convert it, you have to multiply m with x and x1. Then you would have to get rid of y1 by doing the opposite of what y1 is. Finally, you would take the opposite of y1 and add it to the other side of the equation.
Really hope this helps! :)
