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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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9.647 • 10 to the 7 power
DIA [1.3K]

Answer:

96470000


Step-by-step explanation:

Exact Form:

9.647 ⋅ 10^7

6 0
3 years ago
A tap is filling a 10-liters tank at the speed of 5 liters per minute.
SVETLANKA909090 [29]

Answer:

<em />

  • <em>It takes</em><u>     2.5 minutes   </u><em>to fill the tank.</em>

Explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

  • Net rate = rate of filling - rate of leaking
  • Net rate = 5 liters/minute - 1 liter/minute
  • Net rate = 4 liters/minute

Thus, consiedering the tank is empty at the beginning, the time is:

  • Time = Volume of the tank / net rate of filling
  • Time = 10 liters / (4liters/minute)
  • Time = 2.5 minutes ← answer
4 0
3 years ago
At a local print shop, 14 copies can be made for $4. At this rate, how much would it
JulijaS [17]
Commenting to unlock messages
6 0
3 years ago
Read 2 more answers
For a birthday party you need to cut two submarine sandwiches into smaller pieces of equal length for your friends.one sandwich
vovangra [49]

Answer:

4 inches

Step-by-step explanation:

Let us assume that there are few numbers of friends.

Therefore, 28 inches of one sandwich has to be divided into equal few pieces and another 36 inches of the sandwich has to be divided into equal few pieces.

We have to calculate the greatest possible length of the pieces.

Therefore, the greatest length of each piece will be a common factor of 28 and 36.  

Now, we have 28 =2×2×7 and 36 =2×2×3×3. Hence, the greatest possible factor is 2×2 = 4.

Therefore, greatest possible length of each piece of the sandwich is 4 inches. (Answer)

5 0
3 years ago
Multiply the following complex numbers (4-6i)(6-8i)
Bad White [126]
(4-6i)(6-8i)

24-32i-36i+48i²

24 + -68i - 48

-24-68i
6 0
4 years ago
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