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patriot [66]
3 years ago
12

A township office estimates that the amount of trash on a road grows exponentially at a rate of 40% per month if it is not clean

ed up. The township also estimates that there are 300 pounds of trash on its main road.
Enter the number of pounds of trash after 3 months.
____ Pounds
Mathematics
2 answers:
frosja888 [35]3 years ago
3 0

Answer:

900

Step-by-step explanation:

If 40% per month = 300. Multiply 300 by 3.

maksim [4K]3 years ago
3 0

Answer:

823 pounds of trash. ( approx )

Step-by-step explanation:

Since, the exponential growth function is,

A=P(1+r)^t

Where,

P = initial value,

r = growth rate per period,

t = number of periods,

Here, P = 300 pounds, r = 40% = 0.4, t = 3 months,

Thus, the quantity of trash after 3 months,

A=300(1+0.4)^3=300(1.4)^3 = 823.2\approx 823\text{ pounds}

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You are buying carpet to cover a room that measures 42 ft by 42 ft. The carpet cost $ 25 per square yard. How much will the carp
antiseptic1488 [7]

Ok so, 42 ft. by 42 ft.

$25 per square yard

1 square yard = 9 square feet

The total square footage is 1,764 ft.

Total square yards is 196.

The total cost would be $4,900.

3 0
2 years ago
There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con
grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

\square ABCD

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD

\angle BAC = \angle  DCA

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC

and

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED

So, the congruent sides and angles of △ABE and △CDE are:

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD ---- S

\angle BAC = \angle  DCA ---- A

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED or \[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC  --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0
2 years ago
A.
Savatey [412]

Answer:

E

Step-by-step explanation:

(X1, Y1) = (-3,-2)

(X2,Y2)=(4,8)

SLOPE= (Y2-Y1) / (X2-X1)

= (8-(-2)) / (4-(-3))

=(8+2) / (4+3)

= 10/7

Hope it was helpful

5 0
2 years ago
I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!
Romashka [77]

First, let's convert each line to slope-intercept form to better see the slopes.

Isolate the y variable for each equation.

2x + 6y = -12

Subtract 2x from both sides.

6y = -12 - 2x

Divide both sides by 6.

y = -2 - 1/3x

Rearrange.

y = -1/3x - 2


Line b:

2y = 3x - 10

Divide both sides by 2.

y = 1.5x - 5


Line c:

3x - 2y = -4

Add 2y to both sides.

3x = -4 + 2y

Add 4 to both sides.

2y = 3x + 4

Divide both sides by 2.

y = 1.5x + 2


Now, let's compare our new equations:

Line a: y = -1/3x - 2

Line b: y = 1.5x - 5

Line c: y = 1.5x + 2

Now, the rule for parallel and perpendicular lines is as follows:

For two lines to be parallel, they must have equal slopes.

For two lines to be perpendicular, one must have the negative reciprocal of the other.

In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.

However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.

<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
8 0
3 years ago
If the area of a circle is 20.4 units squared, what is the radius?
dmitriy555 [2]

Answer:

r = 2.55

Step-by-step explanation:

The formula for finding the radius of a circle using the area is r = √A/π

with the r being the radius. the A being the area, and the π being pi (we'll use 3.14).

So the equation should look like this:

r = √(20.4/3.14)

Find the quotient of 20.4/3.14 and round to the nearest tenth

r = √6.5

Find the square root and round to the nearest hundredth

r = 2.55

6 0
3 years ago
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