Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:

<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% ->
-> 0.08
Now, lets plug in the values:


The account balance after 10 years will be $13,695.98
Answer:
Each friend will get 18 sea shells.
Step-by-step explanation:
Given:
Rudy has white sea shells = 10
Rudy has pink sea shells = 23
Rudy has brown sea shells = 21
Number of friends = 3
Rudy divides the sea shells into equally between three friends.
We need to find how many sea shells each friend can get.
Now first we find the total number sea shells.
Total number of sea shells = white sea shells + pink sea shells + brown sea shells = 10 + 23 + 21 = 54
Now to find number of sea shell each friend can get we will divide total number of sea shell with number of friends.
number of sea shell each friend can get = 
Hence each friend will get 18 sea shells.
The domain of the given graph is [−3, ∞) and the range is (−∞, 4].
We need to find the domain and range of the given graph.
<h3>What are the domain and range of the function?</h3>
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values that it can take.
We can observe that the graph extends horizontally from −3 to the right without a bound, so the domain is [−3, ∞). The vertical extent of the graph is all range values 4 and below, so the range is (−∞, 4].
Therefore, the domain of the given graph is [−3, ∞) and the range is (−∞, 4].
To learn more about domain and range visit:
brainly.com/question/1632425.
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Answer:320
Step-by-step explanation: 8 bats equals 40 grams of insect. 8 x 5= 40. 64 bats equals 320. 64 x 5 =320.
Answer:
See below-
Step-by-step explanation:
It depends on if you are transforming O to P or P to O
O to P would be rotate counterclockwise translate down 4
using the point (-3,2) from P and it's corresponding point from O (6,3)
rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)
so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4
if you are transforming O to P is would be the opposite
rotate 90 clockwise and translate up 4