A population of 500 beetles is expected to grow at a rate of 70% per week.Which number is the best prediction of the population after 15 weeks?
1380
2862
525,000
1,431,212
Answers
The number of beetles after 15 weeks = 1,431,212
Calculating total population
The total number of beetles = 500
The rate at which the beetle should grow = 70% per week
Therefore 70% of 500= 70/100 × 500
=35000/100
= 350 per week.
That is every week there would be additional 350 beetles
which is = 500 + 350 = 850 beetles
850/500 = 1.7 times what it was the beginning of the week
Therefore in 15 weeks = 500× 1.7^15
= 500 × 2862.4231
= 1,431,212
Learn more about population here:
Answer:1,431,212
Step-by-step explanation:
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Line 1
x y
–2 7
0 6
Line 2
x y
3 0
0 –3
A.
0
B.
exactly 1
C.
exactly 2
D.
infinitely many
Answers
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(2,-7)
(0,6)
(x,y)
x1=2
y1=-7
x2=0
y2=6
subsitute
(-7-6)/(2-0)=-13/2
slope=-13/2
subsitute
y=-13/2x+b
subsitute one of the points
(0,6)
x=0
y=6
6=-13/2(0)+b
6=0+b
6=b
y=-13/2+6
now solve for the other equation
(3,0)
(0,-3)
x1=3
y1=0
x2=0
y2=-3
subsitute
(0-(-3))/(3-0)=(0+3)/(3)=3/3=1
y=1x+b
subsitute
(3,0)
x=3
y=0
0=1(3)+b
0=3+b
subtract 3
-3=b
y=x-3
we have the lines
y=-13/2x-6 and
y=x-3
solve for a common solution
y=x-3 and y=-13/2x-6 therefor
x-3=-13/2x-6
add 6 to both sides
x+3=-13/2x
multiply both sides by -2
-2x-6=13x
add 2x to both sides
-6=15x
divide both sides by 15
-2/5=x
subsitute
y=x-3
y=-2/5-3
y=-3 and 2/5 or -17/5
the solution is (-2/5, -17/5)
there is only one solution
the answer is B
Write the equation of line m.
Write the equation of line n.
Answers
Line m equation is .
Line n equation is .
Step-by-step explanation:
Here , we have Line m has no y-intercept, and its x-intercept is (-5, 0). Line n has no x-intercept, and its y-intercept is (0, 3). Let's find out equation of both line step by step:
Equation of line m:
Line m has no y-intercept , that means line is never intersecting y-axis which is only possible when line is parallel to y-axis , also this line have x-intercept as (-5,0) i.e. cuts x-axis at x = -5 .
⇒
⇒
∴ Line m equation is .
Equation of line n:
Line n has no x-intercept , that means line is never intersecting x-axis which is only possible when line is parallel to x-axis , also this line have y-intercept as (0,3) i.e. cuts y-axis at y = 3 .
⇒
⇒
∴ Line n equation is .
Answers
1/4 * 5/6 = 5/24
1/3 * 5/8 = 5/24
a x intercept is 5, y intercept is -10
b x intercept is 8, y intercept is -4
c x intercept is -10, y intercept is -5
d x intercept is -4, y intercept is 8
Thank you!
Answers
Answer:
D would be the correct answer
Answers
Answer:
148
Step-by-step explanation:
t/2+14=88
Subtract 14
t/2=74
Multiply by 2
t=148
Hope this helps