Answer:
A=b(1/2b-1)
112ft^2
Step-by-step explanation:
-Write the equation in factored form: A= b (1/2 b -1 )
-Supposed the base of the flower bed is 16 feet. What will the area be:
b=16 feet
Formula is A=1/2(1/2b-1)
Replace the b with 16
A=1/2 (16)^2 - 16
A=1/2 (256)-16
A=256/2 - 16
A=128-16
A=112 ft^2
The area will be 112 ft^2
Answer:
(x+3)(x-3)
Step-by-step explanation:
x^2 - 9
(x+3)(x-3)
This is a difference of two squares problem. Hope this helped :)
You would use the pythagorean theorem. a² +b² =c²
side² +side² = hypotenuse²
So for 1) 8² + 15² = c²
64+225=c²
289=c²
√c² = √289
c = 17
2. 7²+24² =c²
49+576= c²
c²=625
√c²= √625
c = 25
3. 5²+13²=c²
25+169=c²
c² = 194
√c² = √194
c = 13.93
4. 24² + 45² =c²
576 + 2025 =c²
c² = 2601
√c² = √2601
c = 51
5.
Plug each choice into the pythagorean theorem. a² +b² =c²
3²+4² = 5²
9+16= 25
25=25
6²+8²=10²
36+64=100
100=100
16²+63²=65²
256+3969=4225
4225=4225
8²+9²=10²
64+81=100
145=100 Since 145 does not equal 100 it is not a right triangle
The solution for P is P = A / (1 + r)^t, the initial deposit is $1,510, and I agree that A is always greater than P when given the conditions stated.
<h3>How do we calculate the initial deposit?</h3>
The correct formula in the question is provided as follows:
A = P(1 + r)^t ........................ (1)
a. P can be solved for and the amount of Patricia's initial deposit can be found from equation (1) as follows:
P = A / (1 + r)^t ................................. (2)
Where:
A = $1839.79
r = 2.5% = 0.025
t = 8
Substituting all the relevant values into equation (2), we have:
P = $1839.79 / (1 + 0.025)^8
P = $1,510
b. Yes, I agree.
The reason is that interest at the rate of 2.5% will be earned yearly on P and added to A making A always greater than P.
Learn more about initial deposits here: brainly.com/question/21845455.
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