I use a bit of a different looking formula.
A(t)=P(1+r/n)^nt
P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)
Plugged in it looks like this:
A(t)=500 (1+ 0.04/1)^1x5
Then I put it into my calculator like this:
0.04/1+ 0.04
Then add one to the above answer:
0.04+1=1.04
Then raise the above answer to the 1x5:
1.04^5=1.2166......
Then multiply the above answer by 500:
1.2166.... x 500=608.3264512
She has $608 after 5 years.
Hope this helps, let me know if you have any questions.
Answer:
20 degrees
Step-by-step explanation:
Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:
7x-8=5x
Subtract 5x from both sides:
2x-8=0
Add 8 to both sides:
2x=8
Divide both sides by 2:
x=4
Now, you can plug this back into the equation for angle B:
B=7(4)-8
B=28-8
B=20
Hope this helps!
Answer:
Heun's method is also known by its other name called Modified Euler methods. This method is used in computational or mathematical science.
Step-by-step explanation:
Euler method is the method that is also pronounced in two similar stages such as Runge- Kutta methods. This method has been named after Dr. Heun.
This method is used for the solution of ordinary differential equations with its given values. There is some method to calculate this method. The improved Runge Kutta methods are also called the Butcher tableau method, the other methods are also called the Ralston methods.
Answer:
Figure (i) and (iv)
Step-by-step explanation:
Given:
Optional figure is given in attached file.
We need to find two figures that are similar to the 5 by 10 figure.
All the given figure are
form.
Where m represent the number of rows and n represent the number of columns.
Solution:
Observe that in the given figure 5 by 10, the number of rows is 5 and number of columns is 10, that is, the number of columns is double of that the number of rows.
So we need to find two such figures whose number of columns is double of the number of rows.
From the given figures, figure (i) the number of rows is 2 and number of columns is 4, which is double of number of rows. so it is similar to 5 by 10 figure.
Similarly in figure (iv), the number of rows is 4 and number of columns is 8. so the number of columns is double the number of rows, so it is similar to the figure 5 by 10.
Therefore, the two figures that are similar to 5 by 10 figure are given in attached file such as (i) and (iv).
Answer:

Step-by-step explanation:

I hope I helped you^_^