Total = Principal * e^(rate*years)
Total = 4,500 * 2.718281828459^(.02*4)
Total = 4,500 * 2.718281828459^(.08)
Total = 4,500 *
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1.0832870677
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Total =
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4,874.79
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calculator for checking the answer:
http://www.1728.org/compint.htm
Answer:
The dime hits the ground after 8 sec.
Step-by-step explanation:
Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:
16t^2 = 1,024 ft, or:
t^2 = 64 ft^2
Then t = +8 sec
The dime hits the ground after 8 sec.
Answer:
Population in 2100 is 17.99 billion.
Step-by-step explanation:
The population of the world in 2020 = 7.8 billion.
The growth rate = 1.05%
Now find the population after 2100. Use the below formula to find the population.
Population in 2100 = Population of 2020 (1 + growth rate)^n
Population in 2100 = 7.8 (1 + 0.0105)^80
Population in 2100 = 17.99 billions.
Now, find the growth rate in 2100.
dN/dt = [r N (K – N) ] / K
r = Malthusian parameter
K = carrying capacity.
Now divide both sides by K, now x = N/K then do the differential equation.
dx/dt = r x ( 1- x)
Now integrate, x(t) = 1/ [ 1 + (1/x – 1) c^-rt
From the first equation = dN/dt = (13 – 7.8) / 80 = (r × 7.8×(13 – 7.8) / 12
0.065 = (r × 7.8× 5.2) / 12
0.065 = r × 3.38
r = 1.92%
Answer:
50
Step-by-step explanation:
For this question you would follow the BIDMAS rule - (Brackets, Indices, Division, Multiplication, Addition, Subtraction.)
The first thing in this question you need to solve it (9 + 8)
we do this because, when we follow BIDMAS, the first rule is brackets
so, 9 + 8 = 17
The second step is to multiply, as this rule is second,
so, 17 x 2 = 34
Our final step is to solve the last bit, which is 6 x 14
and we know that 6 x 14 = 84
So now that we have 84 and 34, we need to subtract the two numbers as shown,
84 - 34 = 50
And this is how you get the answer 50
i hope this has helped you, please comment if you did not understand it and i will explain it in another way : )
Answer:
100 in square
Step-by-step explanation:
LSA of square based pyramid = 2×a×l
= 2×5×10
= 100 in square
