Answer:
Subtracting Polynomials is very similar to adding polynomials. In fact, we will be changing the subtraction problem to an addition problem.
In the Pre-Algebra section of the website, we started out by reviewing integers.
We said, "When you subtract integers, you must add the opposite. We also talked about the Keep - Change- Change Rule. That rule applies to polynomials as well.
Take a look at these examples that show you how to rewrite the problem as an additional problem.
Step-by-step explanation:
Answer:
Bank B because the more often you compound interest, the more interest you earn.
Step-by-step explanation:
Bank A compounds the interest once a year.
Bank B compounds the interest twice a year.
Let's create an example of two investments of the same amount of money, the same interest rate, and the same time. The only difference will be the number of times the interest is compounded per year.
Compound interest formula:
![A = P(1 + \dfrac{r}{n})^{nt}](https://tex.z-dn.net/?f=%20A%20%3D%20P%281%20%2B%20%5Cdfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%20)
where
A = future value
P = principal invested
r = interest rate
t = number of years
n = number of times interested is compounded in 1 year
Example:
P = $1000
r = 5%
t = 5 years
Bank A: n = 1
Bank B: n = 2
Bank A:
![A = $1000(1 + \dfrac{0.05}{1})^{1 \times 5} = $1276.28](https://tex.z-dn.net/?f=%20A%20%3D%20%241000%281%20%2B%20%5Cdfrac%7B0.05%7D%7B1%7D%29%5E%7B1%20%5Ctimes%205%7D%20%3D%20%241276.28)
Bank B:
![A = $1000(1 + \dfrac{0.05}{2})^{2 \times 5} = $1280.08](https://tex.z-dn.net/?f=%20A%20%3D%20%241000%281%20%2B%20%5Cdfrac%7B0.05%7D%7B2%7D%29%5E%7B2%20%5Ctimes%205%7D%20%3D%20%241280.08)
Bank A's investment is worth $1276.28 after 5 years, but Bank B's investment is worth $1280.08 after the same 5 years. Compounding twice per year instead of only once per year earns more interest.
The length of HI in the similar triangles is: (4) 24.
<h3>What are Similar Triangles?</h3>
The corresponding sides of triangles that are similar to each other have ratios that are equal to each other, thus, they are proportional.
Triangle EFI and triangle GHI are similar to each other. Therefore, their corresponding sides have ratios that are equal. Thus, we will have the following:
HI/FI = HG/EF
Given:
EF = 5,
HG = 12,
FI = 1.4x + 3
HI = 6.1x - 6.5
Plug in the values
6.1x - 6.5/1.4x + 3 = 12/5
Cross multiply
5(6.1x - 6.5) = 12(1.4x + 3)
Open the bracket
30.5x - 32.5 = 16.8x + 36
30.5x - 16.8x = 32.5 + 36
13.7x = 68.5
Divide both sides by 13/7
13.7x/13.7 = 68.5/13.7
x = 5
HI = 6.1x - 6.5
Plug in the value of x
HI = 6.1(5) - 6.5
HI = 30.5 - 6.5
HI = 24
The length of HI in the similar triangles is: (4) 24.
Learn more about similar triangles on:
brainly.com/question/2644832
#SPJ1
Answer: Substitute in the values of a1=27 a 1 = 27 and r=13 r = 1 3 .
Step-by-step explanation: