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Feliz [49]
3 years ago
5

F(t)=30(0.97)∧t = rate of change

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0
<span>Hey there, Lets solve this together.  

</span>F(t)=30(0.97)^t 

A = (p+r)^t  

<span>The variable (R) will be representing the rate as a decimal. 

When you solve for (R) multiply by 100 to get the percentage. A percentage is </span><span>a rate, number, or amount in each hundred. 

</span><span>"0.97" will be replaced by "(97/100)"
</span>
<span>Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the given equation  
</span>
Ft-((30))97/100) * t) = 0 

Rewrite the whole as a fraction using  10 <span> as the denominator : 
</span>
ft = ft/1 = ft * 10/10 

The equation now takes the shape :
   t  •  (10f-291)<span>  = 0
</span>
<span><span> f = 291/10 = 29.100

</span> t = 0</span>


<span>Positive = Growth 

Negative = Decay  
</span><span>
</span>1 + r = .97 
<span>
</span>r = -0.03 <span> 
</span>

<span>

</span>
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3 years ago
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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.
Ber [7]

Answer:

Part 1) The volume of the object is 32\pi\ cm^{3}  or 100.48\ cm^{3}

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1)  What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=3\ cm

substitute the values

V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=(10-3)=7\ cm

substitute the values

V=\pi (2^{2})(7)=28\pi\ cm^{3}

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3} ------> exact value

Find the approximate value of the volume

assume

\pi=3.14

32(3.14)=100.48\ cm^{3}

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the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the va
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Answers:

• Area: ,254.34 m²

,

• Circumference: ,56.52 m

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