Answer: The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.
Step-by-step explanation:
I‘m taking the test.
Answer:
$57,369
Step-by-step explanation:
We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.
To solve our given problem we will use compound interest formula.\
, where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us convert our given rate in decimal form.

Upon substituting our given values in compound interest formula we will get,





Therefore, an amount of $57,369 will be in the account after 4 years.
We can use the Pascal's Triangle to solve this problem. This pascal's triangle is shown in the figure below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression:

Can be extended as follows, for n = 10:

So, the 8th term of the binomial expansion is:

Answer:in
745436
Step-by-step explanation:
Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay?
1000 times two-fifths times StartFraction 13 Over 2 EndFraction
1000 times two-fifths
Answer:
This is a postulate which states that through any two points, there is exactly one line.
Step-by-step explanation:
A postulate is a statement that is assumed true without proof.