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vovangra [49]
3 years ago
13

. A population is currently 6,000 and has been increasing by 1.2% each day. Write an exponential model for the population.

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer: A=6000(1.012)^t

Step-by-step explanation:

General exponential function:

A=P(1+r)^t

, where P= current  population

r= rate of growth

t= time period

A= population after t years

As per given , we have P=6,000

r= 1.2% = 0.012

Then, the required exponential function:  A=6000(1+0.012)^t

or A=6000(1.012)^t

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Find equation of a line through 5 -3 that is parallel to y=1/2x+3
xxTIMURxx [149]

Answer:

The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

Step-by-step explanation:

Let us assume the slope of the line whose equation we need to find is m 1.

The line parallel to the needed line  is:   y=1/2x+3

Comparing it with the general form: y = m x + C

we get m 2 = 1/2

Now, as Line 1 is Perpendicular to Line 2.

⇒ m 1 x m 2  = -1

⇒ m 1 x ( 1/2)  = -1

⇒ m 1  = - 2

Also, the point son the line 1 is given as: (x,y)  = (5,-3)

Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.

we get: -3 = (-2) (5) +  C

or, C = -3 + 10 = 7

⇒ C = 7

The general line equation is given as:  y = m x + C

Substituting  the values of C and m, we get:

y = - 2 x  + 7

Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

8 0
3 years ago
If the measure of angle A is 40 degrees and the length of side b is 15 inches, which can be the length of side a if it is possib
Julli [10]
This is the concept of trigonometry, to get the possible length of side a we use the sine rule which states that:
a/sin A=b/sin B=c/sin B
where;
a,b and c are the sides
A,B and C are the angles
thus the value of A could be as follows;
assuming the triangle is an isosceles triangle, the base angles will be:
(180-40)/2=70
thus;
15/sin 70=a/sin 40
a=(15sin40)/sin70
a=10.26 inches
thus the possible size of a=10.26 inches
8 0
3 years ago
the average pumpkin weigh 6 lb the prize-winning pumpkin weighs 324 lb the prize-winning pumpkin weighs as much as how many aver
andrey2020 [161]

With this problem, it's essentially asking how many groups of 6 can fit into 324. We can do that simply by dividing 324 by 6 to get 54.

8 0
3 years ago
Find the slope of the line joining the points (3,4) and (6,-1)
grandymaker [24]

Answer:

Step-by-step explanation:

(3,4) ; (6,-1)

slope = y₂ - y₁ / x₂-x₁

         = -1 - 4 / 6-3

         = -5/3

8 0
2 years ago
Read 2 more answers
I need help! I don't really understand.... Can someone help for these 2 questions?? Part A and B??
vfiekz [6]

Answer:

A. 6x + 4

B. 22 cm

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.

When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.

8 0
3 years ago
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