Answer:
Option (c) is correct.
The interest gained by Gini in 6 years is $ 866.34
Step-by-step explanation:
Given: Gina invests $1,677 in an account paying 8.61% simple interest annually for 6 years.
We have to calculate the interest gained by Gina in 6 years.
Using formula for simple interest
Where,
S.I = simple interest
P is principal
R is interest rate
T is time
Given : P = $ 1677
R = 8.61%
T = 6 years
Substitute, we get,
Simplify, we get,
S.I. = $ 866.3382
Rounding off to nearest hundred we get, Interest is $866.34
Thus, the interest gained by Gini in 6 years is $ 866.34
A rational number is a number that can be made by dividing two integers. An integer is a number that doesn't have a fraction part.
1. 2.4 - rational
2. 74 - rational
3. 17.3333333… - rational
4. π -irrational
5. there is no number
6. –18 - rational
7. there is no number
8. 87.125 - rational
9. –30 - rational
10. –8.3 -rational
11. 58.25 -rational
12. 121 -rational
13. 4.5 -rational
14. 3 7/10 -rational
As you can see, most numbers are rational. But, when you come across pi or when you have a decimal that goes on forever without repeating (like some square roots), it tends to be irrational.
First, I would simplify the given equation to find the slope of the parallel line as it will be the same for the line we are looking for.
3y=x+12
y=(x/3)+4
Slope= 1/3
Our equation now looks close, but we need the intercept.
y=(x/3)+B
Plug in the given point to find the intercept.
3=(-1/3)+B
4/3=B
Plug all the known values into the equation to complete the slope-intercept form.
y=(x/3)+4/3
-32+<u>50</u> =2(x^2+10x+25)
18=2(x+5)^2
9= (x+5)^2
+-<u /> <u>3</u> = x+5
x= -2 or x= <u>-8</u>
Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line
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Find the slope
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2y - x = 4
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Rewrite into the form y = mx + c
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2y = x + 4
y = 1/2 x + 2
Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)
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Insert slope into the equation
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y = mx + c
y = -2x + c
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Find y-intercept
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y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4
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Insert y-intercept into the equation y = -2x + c
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y = -2x + 4
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Answer: y = -2x + 4
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