Answer:
The population in 20 years will be 781.
Step-by-step explanation:
The population of the town can be modeled by the following equation:
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate, as a decimal.
The initial population of 500 increases by 25% in 10 years.
This means that 
We use this to find r.
Applying ln to both sides
So
What will be the population in 20 years
This is P(20)
The population in 20 years will be 781.
Answer:
Option A: P ≈ 38.7 in, A ≈ 63.7 in²
Step-by-step explanation:
We are told that △MNO ~△DEF. This means that they are similar triangles.
We can solve for this using scale factor.
a) Perimeter of △MNO
The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Perimeter of △MNO = X
Perimeter of △DEF = 52in
Scale factor (k) = 6.7/9
Hence,
6.7/ 9 = X/52
Cross Multiply
9X = 6.7 × 52
X = 6.7 × 52/9
X = 38.711111111 inches
To the nearest tenth, Perimeter of △MNO = 38.7 inches
b) Area of △MNO
The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Area of △MNO = Y
Area of △DEF = 115in²
Scale factor (k) = 6.7/9
Hence,
(6.7/ 9)² = Y/115
6.7²/9² = Y / 115
Cross Multiply
9² × Y = 6.7² × 115
Y = 6.7²× 115 /9²
Y = 63.732716049 square inches
To the nearest tenth, Area of △MNO = 63.7 in²
Answer:
The answer is "87 pounds".
Step-by-step explanation:
Please find the complete question in the attached file.
Answer:
do what
Step-by-step explanation:
Answer:
Step-by-step explanation:
surface area of sphere=a
4pir^2=a
r^2=a/4p
r=root(a/4pi)
if radius is doubled
r1=2root(a/4pi)
r1^2=4(a/4pi)
a/a1=(4pia/4pi)/(4pi 4a/4pi)=1/4
so a is increased by 4 times
