Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
Answer: A= (3,-3) . B(4,1). C= (1,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. Area => 7.5 x 2 = 15 m² (Choice B)
2. Area => 5 x 11 = 55 in² (Choice B)
3. Area = (12 x 18) * 0.5 = 108 cm² (Choice A)
4. Triangular Pyramid (Choice D)
6. Area of Rectangle => 12 x 9 = 108
Area of Triangle => 7x6 = 42
Sum of Area => 150
7. Surface Area => (4x4)x6 = 96 in² (Choice D)
8. Volume = 3x15x14 = 630 in³ (Choice D)
Answer:
C
Step-by-step explanation:
Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.
A) 2(14+10)=2(24)=48
B) 2(70+70)=2(140)=280
C) 2(60+10)=2(70)=140
Therefore, the correct answer is C. Hope this helps!
−2x + 3y + 5z = −21
−4z = 20
6x − 3y = 0
do -4z=20 first
divide both sides by -4 to get z by itself
-4z/-4=20/-4
z=-5
Use z=-5 into −2x + 3y + 5z = −21
-2x+3y+5(-5)=-21
-2x+3y-25=-21
move -25 to the other side
sign changes from -25 to +25
-2x+3y-25+25=-21+25
-2x+3y=4
6x-3y=0
find x by eliminating y
Add the equations together
-2x+6x+3y+(-3y)=4+0
-2x+6x+3y-3y=4
4x=4
Divide by 4 for both sides
4x/4=4/4
x=1
Use x=1 into 6x − 3y = 0
6(1)-3y=0
6-3y=0
Move 6 to the other side
6-6-3y=0-6
-3y=-6
Divide both sides by -3
-3y/-3=-6/-3
y=2
Answer:
(1, 2, -5)
