3x3x3x3x3 and so on that’s how the powers work you would have to multiply 3 times itself 20 times I sure hope this helps 3 to the 20th power would equal 3486784401
Answer:
(2,4)
Step-by-step explanation:
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
Answer:
28 years
Step-by-step explanation:
To find the number of years that the investment will reach $3500, we can use the formula of compound interest:
P = Po * (1+r)^t
where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.
In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:
3500 = 1800 * (1+0.0246)^t
1.0246^t = 3500/1800
1.0246^t = 1.9444
Using logarithm in both sides:
log(1.0246^t) = log(1.9444)
t*log(1.0246) = 0.2888
t * 0.0106 = 0.2888
t = 0.2888 / 0.0106 = 27.2453 years
So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)
Answer:
D. 2 1/6
Step-by-step explanation:
To visualize the problem easier, start by converting all the fractions to improper fractions, this will allow you to just add the denominators and simplify the question:
1/6, 5/6, 1 3/6 —> 1/6, 5/6, 9/6
Now that the sequence is rewritten, you can simply add 4 to the numerator, which equals 13/6.
Rewrite this again by finding how many times 6 goes into 13, and use the remainder as the numerator of the new fraction, which will end up as 2 1/6.
