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xxMikexx [17]
3 years ago
6

Identify each as an example of exponential growth or decay. What is the y-intercept? What is the end behavior? 1)y=10(0.45)^x 2)

y=.75(4)^x

Mathematics
1 answer:
jeyben [28]3 years ago
5 0
The best answer is number 1

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The fifth term of an arithmetic progression is 41 and the sum of the first four terms is 94. Find the common difference.​
iren [92.7K]

Answer:

d = 7

Step-by-step explanation:

The first five terms of an arithmetic progression are

a, a + d, a + 2d, a + 3d, a + 4d

Where d is the common difference

Given the fifth term term = 41, then

a + 4d = 41 → (1)

Given the sum of the first four terms = 94, then

a + a + d + a + 2d + a + 3d = 94, that is

4a + 6d = 94 → (2)

Rearrange (1) expressing a in terms of d by subtracting 4d from both sides

a = 41 - 4d → (3)

Substitute a = 41 - 4d into (2)

4(41 - 4d) + 6d = 94 ← distribute and simplify left side

164 - 16d + 6d = 94

164 - 10d = 94 ( subtract 164 from both sides )

- 10d = - 70 ( divide both sides by - 10 )

d = 7 ← common difference

6 0
4 years ago
Read 2 more answers
69= 7x + 5x + 9. Please help. I need this done by 12/4/2020
astraxan [27]
X=5 if you are to substitute 5 for the x’a you should get 69
6 0
3 years ago
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I need your help on these questions. Please explain each of them. Thank you for your support
kodGreya [7K]

Answer:

Gemma

9 X 150 = 1350

61000/100 X 2 =1220

add together $2570

Fred

14350/100x2=287

200 + 287 = $487

Erik

4 X 160 = 640

153000/100 X 2.5 = 3825

3825 + 640 = $4465

Allison

510000/100x0.5 = $2550

4 0
3 years ago
Calculate the distance between points
Elena L [17]

The distance would be, ((x1-x2)^2+(y1-y2)^2)^0.5

x1=-7,y1=9, x2=-4,y2=2

hence distance = sqrt(9+49) = sqrt (58) = 7.615773106

8 0
3 years ago
3. The fish tank shown at right needs to be cleaned. The cleaning product instructions state that three drops should be put in t
sasho [114]

Drops = 27

First, we need to find the volume of the given tank using the following equation

Volume = Length*Width*Height\\Volume =14*9*10\\Volume =1260\\

Now that we know the volume, we need to find out how many drops that we need to use. We can find that out using the following equation

Drops = 3\frac{Volume}{140} \\Drops = 3\frac{1260}{140} \\Drops = 3(9) \\Drops = 27

3 0
3 years ago
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