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:
13.3 ft
Step-by-step explanation:
We are being asked to find an unknown side length in a triangle with two given angles and the side between them. The law of sines is applicable, but we need to know the angle opposite the given side.
Angle M has a value that makes the sum of angles be 180°, so it is ...
∠M = 180° -61° -38° = 81°
The law of sines tells you the length of side MP is ...
MP = NP·sin(N)/sin(M) = (15 ft)·sin(61°)/sin(81°)
x = MP ≈ 13.3 ft
Hey there!
Three points to keep in mind!
- The given options are in standard form: ax+by=c
- The line is a solid line, hence, the possible outcomes would be ≤ or ≥
- The shaded part is above the line, hence, the symbol would be ≥
First, let's find the slope:
Slope : (y2-y1)/(x2-x1)
Slope : (0-3)/(2-0)
Slope : -3/2
Looking at line, we know that the y-intercept is 3 b=3
Slope intercept form:
<em>y≥(-3/2)x+3 </em>
Let's now convert this into a standard form:
<em>(3/2)x+y≥3 </em>
<em>Multiplying all the sides with 2: </em>
<em>Remember that the coefficient of 'x' shall not be negative or a fraction!</em>
<em>3x+2y≥6 </em><em>is the final answer!</em>
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
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a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
