Answer:
The initial amount in the account is $333.33
Step-by-step explanation:
Here, we want to calculate the initial amount in the account.
Let the initial amount be $x
Mathematically;
Simple interest = PRT/100
where P is the amount deposited = $x
R is the rate = 10%
T is the time = 5 years
Simple interest = Present amount - Principal = $(500-x)
By substituting;
500-x = (x * 10 * 5)/100
100(500-x) = 50x
50,000 - 100x = 50x
50,000 = 100x + 50x
150x = 50,000
x = 50,000/150
x = 333.33333333
Which to the nearest penny ; x = $333.33
Answer:
Scale factor of 1/3
Step-by-step explanation:
Since
, we can rewrite the integral as

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

Both integrals are quite immediate: you only need to use the power rule

to get
![\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E11-3t%5E2%5C%3Bdt%20%3D%20%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%2C%5Cquad%20%5Cint_1%5E4%202t%5C%3B%20dt%20%3D%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4)
Now we only need to evaluate the antiderivatives:
![\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15](https://tex.z-dn.net/?f=%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%20%3D%201-1%5E3%3D0%2C%5Cquad%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4%20%3D%204%5E2-1%5E2%3D15)
So, the final answer is 15.
No, a closed circle does include that number.
Closed circles are used for greater than or equal to or less than or equal to
Open circles are only used for greater than or less than
Answer:
Brand A is the better deal!
Step-by-step explanation:
Let's start by comparing.
We know brand B has the following cost: 5 ounces = $3.75
10 ounces $7.50 and 16 ounces = $12
Now check the graph.
6 ounces cost $3
12 ounces cost $6
20 ounces cost $10
I don't think we need to look any further but brand A is the better deal!