Answer:
3/4
x 180/
= <u>135°</u>
Step-by-step explanation:
<u>Answer:</u>
The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$
<u>Explanation:</u>
We know final amount is given by
Where,
![A=P \times e^{r t}](https://tex.z-dn.net/?f=A%3DP%20%5Ctimes%20e%5E%7Br%20t%7D)
A = final amount
P = initial principal balance = $3200
r = interest rate = 3.74%
t = number of time periods elapsed = 2 years
Substituting the values in the formula
![r=\frac{3.75}{100}=0.0375](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3.75%7D%7B100%7D%3D0.0375)
A=![3200 \times e^{(0.0375 \times 2)}](https://tex.z-dn.net/?f=3200%20%5Ctimes%20e%5E%7B%280.0375%20%5Ctimes%202%29%7D)
We know, e = 2.72
So we get A = 3449.23$ which is the available amount for the down payment of car .
Answer:
V = 6079.04 ft³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then
V = 3.14 × 11² × 16
= 3.14 × 121 × 16
≈ 6079.04 ft³ ( to the nearest hundredth )
Answer: A.
.
Step-by-step explanation:
- A difference of squares problem is factored as :
![a^2 - b^2 = (a + b)(a - b)](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20%28a%20%2B%20b%29%28a%20-%20b%29)
- For this both terms in the form of squares and a minus sign between them.
From all the options only option A has both terms square and they minus sign between them.
Also, ![9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)](https://tex.z-dn.net/?f=9x%5E2%20-%2016y%5E2%3D%20%283x%29%5E2-%284y%29%5E2%3D%283x%2B4y%29%283x-4y%29)
Here a= 3x and b= 4
Hence, the correct answer is A.
.