Find slope by calculating rise (change in y) over run (change in x).
1-(-3)/-4-0
4/-4
-1
Final answer: A
1). $2,700 is (2,700/6,000) = 45% of 6,000.
It took 6 years to earn it, so it earned (45%/6) = 7.5% each year.
That's the simple-interest rate.
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2). The investment earns 4.5% each year, so it earned 9% in 2 years.
The $1,150.65 is the 9% of the original investment. Call it V.
1150.65 = 0.09 x V .
Divide each side by 0.09 :
V = 1150.65 / 0.09 = $12,785 .
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3). There are 18 marbles in the bag all together.
a). 8 of them are green. If you close your eyes and pull out 1 marble,
the probability that it's a green one is
8/18 = 4/9 = 44.4% .
b). If it was a red marble, and you put it in your pocket, then
there are only 17 in the bag now, and 8 of them are still green.
If you pull another one, the probability that it's green is
8/17 = 47.1% .
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5). There are 10 marbles in the bag all together.
(The second sentence doesn't say anything, and doesn't mean anything.)
If you pull out a silver marble and put it in your pocket, then
there are 9 marbles in the bag, and 2 of them are orange.
The probability of pulling an orange marble now is
2/9 = 22.2% .
Answer: x=1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+2*(5*x-3)-(7)=0
3x + 2 • (5x - 3)) - 7 = 0
Pull out like factors :
13x - 13 = 13 • (x - 1)
13 = 0
A a non-zero constant never equals zero.
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
95% of 600 is 570. When solving a percentage problem like this, simply convert the percentage into decimal form (.95) and that multiply that by the main number (600).
43) ang 1 = ang 2
5x = 9(x-4)
5x = 9x - 36
4x = 36
x = 9. so ang 1 + ang 2 = 90°
44) ang 1 +ang 2 + ang 3 = 180
60 + 7x+1 + 9x+7 = 180
16x = 112
x = 7
so angle 2 is 7*7+1= 50°
angle 3 is 9*7+7= 70°
45) let ang 2=x, then ang 1 is 3x
then 3x+x=96
4x = 96
x=24
angle 2 is 24° and angle 1 is 72°
