Answer:
-11 and -10
Step-by-step explanation:
-11² = -121
-(√119)² = -119
-10² = -100
_____
-√119 is between -11 and -10
Answer:
If camping for 4 nights, you should either of them since they cost the same. However, if camping for more than 4 nights, you should choose Forest park since it would be cheaper than Woodland.
Step-by-step explanation:
<em>Step 1: compare total price for 4 nights in each campground;</em>
Forest park= 100+(4*35)= $240
Woodland= 20+(4*55)= $240
Therefore, if camping for 4 nights, you should choose either of the two because they cost the same.
<em>Step 2: compare total price for camping more than 4 nights in each campground;</em>
Assume you plan to stay for 6 nights
Forest park= 100+(6*35)= $310
Woodland= 20+(6*55)= $350
Answer:
Step-by-step explanation:
Use the equation 2,000 = 16,000(1-r)^t to solve for t;
2000 = 16000(1-0.35)^t
Divide both sides by 16000
2000/16000 = 0.65^t
0.125 =0.65^t
Introduce logarithm on both sides;
<em>ln</em> 0.125 = t <em>ln</em> 0.65
Divide both sides by <em>ln</em> 0.65;
(<em>ln</em> 0.125) / (<em>ln</em> 0.65) = t
-2.07944/ -0.4308 = t
4.827 = t
t= 5 (as a whole number)
Therefore, the car is about 5 years old.
Answer:

Step-by-step explanation:
Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.
Since they give you two points
and
for the line, use them to find the slope of the line that goes through them, with the formula: 
Therefore, the slope of the line must be 
Now, find the y-intercept (b) using the general form of a line with the given slope:

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

then the y-intercept must be 5. Therefore our line is :
which appears listed as your second choice.
Answer:
the probability is 78.4%
Step-by-step explanation:
there are 3 scenarios
1) gets the price in the 1st box:
the probability is:
P = probability to obtain a price = 4/10= 40%
2) gets the price in the 2nd box
P= probability to fail in the fist box * probability to obtain a price
P= (6/10)*(4/10)=24/100 = 24%
3) gets the price in the 3rd box
P =probability to fail in the first box * probability to fail in the second box*probability to obtain a price =(6/10)*(6/10)*(4/10)=144/1000 = 14,4%
therefore the probability to obtain a price in 3 or less boxes is:
P = 40%+24%+14.4%= 78.4%