You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest?

Answers

Answer 1

Answer: find 4% and find how many times (years) it takes to get to 200

2500 times 4%=2500 times 0.04=100

100 times how many years=200
divide by 100 both sides
how many years=2

2 years

Answer 2

Answer: 50 because all you have to do is divide 4 by 200 and it comes up 50 YAY!!!!!!!!!!Hope this helps.

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Jan bought a blazer for $39.90. The price of the blazer was $38. What sales-tax rate was she charged for this blazer?

Answers

The sales tax rate was 5% because $38 x .05 = $39.90

First find the amount of sales tax by Subtracting 39.90 - 38 = 1.90
The amount of sales tax is $1.90. Since sales tax is found by multiplying the tax rate (in decimal form) times the original cost, we have this equation:
Sales tax = rate * original cost.
We know that sales tax is $1.90 and the original cost is $38.
Plug these numbers into the equation:
1.90 = r * 38
Solve for r by dividing both sides by 38:
r = 0.05
This is in decimal form, so convert it to percent form by moving the decimal 2 places to the right.
Sales Tax rate = 5%

Find the x-intercept and the y-intercept from the following linear equation: 4x + 8y = 64

Answers

Answer:

x-intercept = 16/1 = 16.00000

y-intercept = 16/-2 = 8/-1 = -8.00000

Step-by-step explanation:

How do I make these points (3,-5)(-5,3) into a point slope form equation that contains the given points

Answers

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (3,-5),\ (-5,3)\ into\ equation\n\n \left \{ {{-5=3a+b}\ \ \ \ \atop {3=-5a+b\ |*-1}} \right.\n\n \left \{ {{-5=3a+b} \atop {-3=5a-b}} \right. \n+----\n\n-8=8a\ \ \ |:8\na=-1\n\n-5=3\cdot(-1)+b\n-5=-3+b\n-5+3=b\nb=-2\n\ny=-x-2$

Steps:
1. First you have to find the slope
3+5= 8 -5-3=-8 Your slope is -1
2. You plug in one of the points into the point slope form
Y1-Y2=m(x-x1)
Y-3=-1(x+5)
Y-3=-1x+-5
3. Then, you add three to each side
Y=-1x+ (-2)

bisects EOG. EOF = y + 30 and FOG = 3y – 50. Solve for y. 20
70
40
50

Answers

Answer: the correct option is (C) 40.

Step-by-step explanation: As shown in the attached figure below, the line OF bisects the angle EOG, where

$m\angle EOF=y+30,\n\nm\angle FOG=3y-50.$

We are to find the value of y.

Since OF is the bisector of the angle EOG, so it divides the angle EOG into two congruent angles.

Therefore, we get

$m\angle EOF=m\angle FOG\n\n\Rightarrow y+30=3y-50\n\n\Rightarrow 3y-y=30+50\n\n\Rightarrow 2y=80\n\n\Rightarrow y=(80)/(2)\n\n\Rightarrow y=40.$

Thus, the value of y is 40.

Option (C) is CORRECT.

since given it bisects EOF must be equal to FOG

y+30 = 3y-50

2y = 80

y = 40

What is an equation of the line that passes through (0,8) and (4,0)?

Answers

Answer: y=-2x+8

Step-by-step explanation:

To find the slope of the line, you would use $(y_(2)-y_(1) )/(x_(2) -x_(1) )$ . With the 2 points we are given , we can plug it into this equation to find the slope.

$(0-8)/(4-0) =(-8)/(4) =-2$

Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.

The final equation we get is y=-2x+8.

Answer:

y= -2×+8

Step-by-step explanation:

find m(slope)

y2-y1 over x2-x1

substitute using (0,8) and (4,0)

m=-2

y=mx+b

substitute x and y to find b using either (0,8) or (4,0)

0=-2(4) + b

0= -8 +b