V=1/3*πr² *h,
raduus r=32/2=16
V=1/3*3.14*(16)² *18=6*3.14*(16)² =4823.04
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1
The new slope would now be 2 so y=2x-3
Answer:
642000000000000000000000
Step-by-step explanation:
Answer:
The value of Liam's investment at the end of 4 years is £9069.764
Step-by-step explanation:
Compound interest is interest calculated on the initial principal, which also includes all of the accumulated interest of previous periods of an investment.
We multiply the principal amount by one plus the annual interest rate to the power of the number of compound periods to get a combined figure for principal and compound interest.
4.5% in the first year;
4.5/100 = 0.045
(1 + 0.045) × 8000 =
1.045 × 8000 = £8360.
2.75% for all subsequent year;
2.75/100 = 0.0275
1 + 0.0275=1.0275
Number of years is;
4-1=3years
Therefore,
8360 × (1.0275)^3 =
8360 × 1.0849 = £9069.764
