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MArishka [77]
3 years ago
11

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease. y=8700(1.04)^4 ​​
Mathematics
2 answers:
Luden [163]3 years ago
6 0
We are given this function:
y=8700* (1.04)^{4}

8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
frosja888 [35]3 years ago
6 0

Answer:

16.99%

Step-by-step explanation:

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lina2011 [118]

Answer:

I did the first one on paper

Step-by-step explanation:

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4 0
2 years ago
What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...​
Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

1/9 = 1/10 + 1/90

1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900

1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000

and so on, which is to say

1/9 = 1/10 + 1/100 + 1/1000 + …

or

1/9 = 0.111…

so that multiplying both sides by 2 gives

2/9 = 0.222…

5 0
1 year ago
Is multiplying 10 to the power of 3 the same as multiplying by 10 factors of 3
andrew-mc [135]
No because since multiplying by 10³ is multiplying by 10 times 10 times 10 which equals 1000 and multiplying by 10 factors of 3 is multiplying by 3 times 3 times 3 times 3…….for 10 times equals 59049
7 0
3 years ago
7 + X = 2x - 5<br> 7<br> Solve<br> 3
Anna11 [10]

Answer:

x=12

Step-by-step explanation:

7+x=2x-5

12=1x

x=12

8 0
2 years ago
Sam walks at a rate of 300 ft per minute. How many inches per second does he walk? (1 foot = 12 inches)
bazaltina [42]
300/min
300/60 seconds
300 divided by 60=5
5 ft/second
5ft=60 inches
60 inches/second

Final Answer: B
6 0
2 years ago
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