Answer:
4,000
Step-by-step explanation:
First, take 27-12 to find the number of people who need to ride in cars.
27-12=15
Then, if each car can take 5, do 15 divided by 5, which will give you 3.
Therefore, you will need 3 cars.
After 14 years, the investment will be worth $ 2,306.72.
Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:
- 1000 x (1 + 0.06 / 6) ^ 14x6 = X
- 1000 x 1.01 ^ 84 = X
- 1000 x 2.3067 = X
- 2,306.72 = X
Therefore, after 14 years, the investment will be worth $ 2,306.72.
Learn more about maths in brainly.com/question/15603792
Refer to figure 1 (see attached) for the initial drawing. The observation points are at A and B. I placed point A south of point B. The ship is at point C. I added in a compass as well.
As shown in figure 1, angle A is 33 degrees. You start by facing north and then you turn to face the eastward direction by 33 degrees. Angle B is 58 degrees. You start by facing south and then you turn 58 degrees to the east. The distance from A to B is 17 miles. Let's make c = 17. The lowercase c is opposite the upper case point C. Similarly, lowercase 'a' is opposite uppercase A; lowercase b is opposite uppercase B.
Once you have everything drawn out as shown in figure 1, we can use this info to find angle C
The three angles A,B,C add to 180 degrees
A+B+C = 180
33+58+C = 180
91+C = 180
91+C-91 = 180-91
C = 89
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Now use the law of sines to find the length of segment 'a'
a/sin(A) = c/sin(C)
a/sin(33) = 17/sin(89)
a = sin(33)*(17/sin(89))
a = 9.26027397983573
a = 9.3
Do the same for segment b
b/sin(B) = c/sin(C)
b/sin(58) = 17/sin(89)
b = sin(58)*(17/sin(89))
b = 14.419013720289
b = 14.4
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See figure 2 (attached) to see the fully solved triangle. When I refer to "solved triangle", I mean that we have found all of its sides and angles. In this case we have...
Angles:
A = 33 degrees
B = 58 degrees
C = 89 degrees
Sides:
a = 9.3 miles
b = 14.4 miles
c = 17 miles
Final answers are roughly 9.3 miles and 14.4 miles.
For rational expressions, all real numbers can be used as inputs, except for those that make the denominator equal to 0 (since division by 0 is undefined).
Thus, the domain restrictions are values that turn the denominator into 0. Since you have (x + 2) (x - 1) as the denominator, then it means that:
For (x + 2), the value of x CANNOT be -2, as it will result into 0.
For (x - 1), the value of x CANNOT be 1 because their difference will have 0 as a result.
Therefore, the correct answers are:
b.) x = 1
c.) x = -2
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