Answer:
Step-by-step explanation:
a) We would use the formula for exponential growth model which is expressed as
y = b(1 + r)^t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 5655
r = 1.4% = 1.4/100 = 0.014
Therefore, the equation would be
y = 5655(1 + 0.014)^t
y = 5655(1.014)^t
b) in 2022, t = 2022 - 2010 = 12 years
y = 5655(1.014)^12
y = 6682
Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of <em>t</em> years, compounded continuously is:
Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:
Thus, the amount in the account at the end of three years will be $59,861.
Answer:
12 trips
Step-by-step explanation:
Given;
Dimension of cone shapef pile of earth;
height h = 12 ft = 4 yards
diameter d = 30 ft = 10 yards
radius r = d/2 = 10/2 = 5 yards
The volume of a cone V;
V = (1/3)πr^2 h
Substituting the given values;
V = (1/3) ×π × 5^2 × 4 cubic yards
V = 104.72 cubic yards
Given that a dump truck have a capacity of 9 cubic yards.
Vc = 9 cubic yards
Number of trips it will take is;
N = Volume of earth pile/truck capacity
N = V/Vc
Substituting the values;
N = 104.72/9
N = 11.64
N ≈ 12 trips
Therefore, the truck will make 12 trips
Answer:
sin
Step-by-step explanation:
take 34 degree as reference angle
usinf sin rule
sin 34=opposite/hypotenuse
0.55=16/x
x=16/0.55
x=29.09
x=29.1
