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Marianna [84]
3 years ago
13

Determine the growth factor corresponding to 325% increase

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

  4.25

Step-by-step explanation:

The growth factor is 1 more than the growth rate. The growth rate is the rate of increase in a given time period.

  1 +325% = 1 +3.25 = 4.25

The growth factor is 4.25.

_____

The "increase" amount is what is added to the original. The growth factor is the multiplier of the original.

  x + 325%·x = x(1 +3.25) = 4.25x

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Write 57% as a ratio
Feliz [49]
It’d be 0.57, hope this helps.
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3 years ago
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The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

6 0
3 years ago
A car traveling at constant speed traveled 161.5 miles in 3 1/2 hours. What was the car's speed.
dedylja [7]

161.5 miles / 3.5 hrs = 46.143 mph

8 0
3 years ago
Using the Distance Formula, calculate the distance between the three points: (3 points)
AlladinOne [14]

The distance formula between two points is d∧2=(x2-x1)∧2 + (y2-y1)∧2

The distance between Vista and Oceanside is

d1∧2=(-1-(-6))∧2+(6-2)∧2=(-1+6)∧2+4∧2=5∧2+16=25+16=41 => d=√41= 6.4

The distance between Oceanside and Alpena is

d2∧2=(0-(-1))∧2+(-1-6)∧2=1+(-7)∧2=1+49=50 => d2=√50=7.07

The distance between Vista and Alpena is

d3∧2=(0-(-6))∧2+(-1-2)∧2=36+9=45 => d3=√45= 6.7

Answer a) is Oceanside and Alpena

Answer b) is Vista and Oceanside

Good luck!!!

4 0
3 years ago
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A bus is traveling at 50 mph. If the rate of speed increases 3 mph each hour, how long will it be before the bus is traveling at
arsen [322]

Answer:

It will take 10 hours.

Step-by-step explanation:

By using the formula of motion,

v = u + at

Here, v = Final speed of an object

u = initial speed

a = Acceleration by which the speed is increasing

t = Duration or time

Now substitute the values given in the question,

80 = 50 + 3t

3t = 30

t = 10 hours

Therefore, after 10 hours speed of the bus will be 80 mph.  

4 0
3 years ago
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