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romanna [79]
3 years ago
8

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Write a exponential decay function to find the po

pulation of the town after 5 years
Mathematics
1 answer:
liq [111]3 years ago
5 0
P=2,500×(1−0.035)^(5)=2,092.07
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A hovercraft takes off from a platform.
lubasha [3.4K]

Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

h(x)=-3(x-3)^2+108

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters

The height of the hovercraft at takeoff is 81 meters.

7 0
3 years ago
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PLEASE NO LINKS I LOST SO MANY POINTS
Ann [662]

Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

       = \frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}

Area of rectangle with sides 6cm and 3cm

       =6 * 3 = 18cm^{2}

Therefore, area of the trapezoid

       = 6+18 = 24cm^{2}

Area of the semi circle with radius 3/2 = 1.5cm

        = \frac{1}{2}\pi r^{2}  = \frac{1*\pi *1.5*1.5}{2} = 1.125\pi cm^{2}

Total area = 24 + 1.125\pi =27.53cm^{2}

8 0
3 years ago
The $299.99 of a cell phone Brittany purchesd was on sail for 10% off. What amount did Brittany save?
Oksi-84 [34.3K]

Answer:

10* 299.99=2999.9

2999.9/100=29.999

this would round up to 30, so Brittany saved $30. : )

6 0
3 years ago
Morgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step an
antoniya [11.8K]

Answer:

Step-by-step explanation:

Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;

7x+5x+1=73

take the sum of 7x and 5x

12x+ 1 = 73

subtract 1 from both sides

12x+1-1 = 73-1

12x = 72

Divide both sides by 12

12x/12 = 72/12

x = 6

Based on the calculation above, the students with invalid first step is Dakota.

<em>Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.</em>

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3 years ago
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All of the following types of graphs are used to represent numerical data except a _____.
tester [92]
I am unsure but i think the answer is c or a but let me know if i'm right or wrong
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