Answer:
(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652
(B) y = (0.016t * 7652) + 7652 =
y = (0.016(8) * 7652) + 7652 =
y = (0.128 * 7652) + 7652 =
y = 979.456 + 7652 =
y = 8631.456 (Or About) 8631
Step-by-step explanation:
(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)
(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.
Answer:
Step-by-step explanation:
There was no figure but the question is clear
Volume of a cylinder is given by the formula 
where r is radius of base of cylinder, h is the height
Volume of a cone is given by 
where r is the radius of base of cone, h is the height
The radius of the cylinder = 
(diameter) = (12) = 6cm
Height of cylinder = 15cm
Volume of cylinder 
Radius of cone = (radius of cylinder) = (6) = 3 cm
Height of cone same as height of cylinder = 15cm
Volume of cone, 
Difference is the volume of the remaining solid
Here I'll Simplify it to show the work.
You need PEMDAS
9(2*2+4÷2)
9(4+4÷2)
9(8÷2)
9(4)
9(4) = 9 × 4 = 36
The Answer is 36.
Answer:
39 feet
Step-by-step explanation:
take the tree as AB , the distance between the man and the tree as BC, the distance between the man and the tip of the shadow CD and the point intersecting the hypotenuse CE
since CE parallel to AB we can BPT
CE/AB = CD/BD
6/32= CD/48
CD = 9 feet
since CD is feet
BC is 48-9 = 39 feet
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ
hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)
