Answer: 6.93 years
Step-by-step explanation:
Given
Rate of interest is 
Future value is given by 
For the investment to double itself, i.e. 

It takes around 6.93 years to double the investment.
Answer:
x = 70
Step-by-step explanation:
Interior angles of a 4 sided shape = 360
80+70 = 150
360-150 = 210
210/3 = 70
Answer:
In Tyler scale, 1 inch equals 4 ft.
Step-by-step explanation:
Giving the following information:
Tyler made a scale drawing of a 24 ft longboat. In his drawing, the boat was 6 inches.
<u>We know that 1 ft is 12 inches. Therefore, 24 ft:</u>
24*12= 288 inches
<u>Now, we have to determine the scale that Tyler used.</u>
<u></u>
1 Tyler inch= 288/6= 48 inches
In ft:
1 Tyler inch= 48/12= 4 ft
In Tyler scale, 1 inch equals 4 ft.
The area of a rectangle is A=LW, the area of a square is A=S^2.
W=S-2 and L=2S-3
And we are told that the areas of each figure are the same.
S^2=LW, using L and W found above we have:
S^2=(2S-3)(S-2) perform indicated multiplication on right side
S^2=2S^2-4S-3S+6 combine like terms on right side
S^2=2S^2-7S+6 subtract S^2 from both sides
S^2-7S+6=0 factor:
S^2-S-6S+6=0
S(S-1)-6(S-1)=0
(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:
S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...
W=S-2 and L=2S-3 given that S=6 in
W=4 in and L=9 in
So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.
Answer:
E (3,-1) D (-2, -2) G (-1, 3) F (3, 2)
Step-by-step explanation:
90 degrees = (y, -x)
that means you take the ordered pair you want to rotate and plug the x and y into the new spots.
for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)