Here is your answer for the question.
$12,838
7900/8= 987.5
For every one year, you invest $987.5
987.5 times 5 for 5 years= 4,937.5
If you round to the nearest dollar, it would be: $4,938
The total amount of money that would be in the account is, $12,838.
<span>Find the volume of a cone if the slant height is 50 in and the diameter is 80 in
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V≈52359.88<span>
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Answer:
Step-by-step explanation:
Remark
You are trying to convert the base function f(x) = x^2 into the child function g(x) = -(x + 3)^2 + 5
UP
Start with the simplest part of the transformations. + 5
If you have g(x) = f(x)+5 what you have done is move the function up 5 units on your grid.
Up side Down
Next is the - sign.
f(x) = x^2
g(x) = - f(x) = - x^2
This has the affect of turning x^2 upside down. It looks like a cup opening towards the counter or down.
Left right
The last step is left / right. This is the hard one. It moves in the opposite direction that you think it should. x +3 moves the parabola left, not right. If you want it to move right, use (x - 3)
Graph
I have enclosed a graph to show you exactly what is going on. The red line is f(x)=x^2
The blue line is g(x) = -(x + 3)^2 + 5
Answer:
Alice lives <u>9 miles</u> far away from Carla.
Step-by-step explanation:
Given:
Alice cycles to Carla's house at 12 mph and returns by car at 36 mph.
If the round trip takes 1 hour.
Now, to find the distance from Carla to Alice house.
So, let the distance between the houses of Carla and Alice be .
Now, we solve by using the formula:
Distance/speed = time
Alice cycles to Carla house =
And return by car =
Time taken for round trip = 1 hour.
Adding both the distance to get the value of x:
<em>Dividing both sides by 4 we get:</em>
Therefore, Alice lives 9 miles far away from Carla.