Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
Answer:
55
Step-by-step explanation:
Given in the picture that factor tree for 3025 in which the factors are
5, 5, 11, 11.
To find,
<h3>the simplest form of √3025</h3>
√3025
√(5 x 5 x 11 x 11)
√(5² x 11²)
√5²√11²
<em>As we know that square and square root on same integer cancel each other</em>
So,
(5)*(11)
55 Answer
The equation for simple interest is : Growth) y = a(1+r)^x decay) y = a(1-r)^x
the equation for compound interest is always : B = P(1+r/n)^nt yes i know its kinda complicated but you'll get used to it.
NOTE: P is the amount you start with [for jackie its 1000 and for amber its 800] and r is the percent you get but in decimal form so if its 5% you would put 0.05 for the r. n is how many times a year (so if its annually its once a year if its quarter annually than its 4 times a year etc.). And x is always for how long (in this instance x would be 3 years)
So now we just plug in all these numbers in:
Jackie: 1000(1+0.05)^3 and just solve that equation. I'll do it for you :)
1000(1.05)^3
1.05^3= <span>1.157625
1000(</span><span>1.157625) = 1157.625 (since we are talking about money we round to the nearest hundreth) $1,157.63
Amber: this is the hard one... plug the #'s in
800(1+0.08/1)^1x3
800(1.08)^3
1.08^3 = </span><span>1.259712
800(</span>1.259712) = <span>1007.7696 (remember... money rounds to hundreth) $1007.77
So final answer... jackie makes more more money... $149.86 more
Hope this helped good luck in the future!</span>
Answer: 324π units²
Step-by-step explanation:
The formula for the surface area of a sphere is: A=4πr²
Now we just plug in 9 for r:
A = 4π(9)²
A = 4π*81
A = 324π