Answer:
3139.5 m²
Step-by-step explanation:
the formula for the volume of a sphere of radius r is V = (4/3)πr³. In this particular case, V = 2098π m³ = (4/3)πr³, and from this we can calculate the radius, r:
2098π m³
r³ = ----------------- = (3/4)(2098 = 1483/5
(4/3)π
Thus r = ∛1573.5 m³ = 11.64 m
Then the surface area is A = 4πr², which in this case is
A = 4(3.14159)(11.64 m)^2 = 1702.6 m² (which is to the nearest tenth).
Answer:
Step-by-step explanation:
Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...
0.14x + 0.06(x -900) = 221
0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify
x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%
(x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%
Peter invested $475 in the 6% account and $1375 in the 14% account.
Sure ... exactly the way you simplify "2 + 2" when it comes up in conversation ... perform the indicated operation wherever possible. In simplified form, -4x-x is written as. " -5x ".
Answer:
<h2>f(x) = -3x - 1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept, (0, b)</em>
The formula of a slope:

From the graph we have two points <em>A(-1, 2)</em> and <em>B(0, -1) → b = -1</em>.
Calculate the slope:

Finally:

1. The answer is 729 (Question 2 idk)