Answer: The population would be 6580 after 7 years.
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth 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 = 5000
r = 4% = 4/100 = 0.04
t = 7 years
Therefore
y = 5000(1 + 0.04)^7
y = 5000(1.04)^7
y = 6580
Answer:
Solution A = 2100
Solution B = 700
Step-by-step explanation:
Given that:
Let :
Millimeter of solution A = a
Millimeter of solution B = b
% alcohol, solution A =. 20% = 0.2
% alcohol solution B, = 14% = 0.14
Resulting millimeter of. Alcohol = 518
a = 3b - - - (1)
0.2a + 0.14b = 518 - - - - (2)
Put a = 3b in (2)
0.2(3b) + 0.14b = 518
0.6b + 0.14b = 518
0.74b = 518
b = 518 / 0.74
b = 700
a = 3b
a = 3(700)
a = 2100
Answer:
The number of possible color combinations that she can make = 6
Step-by-step explanation:
The number of available colors = 3
The question states that Maria only uses a color on each shape at a time,
The number of possible color combinations that she can make = 3!
n! = n*(n -1)*(n-2)*......*1
3! = 3 * 2 * 1
3! = 6 combinations
The number of possible color combinations that she can make = 6
Answer:
a = 4
Step-by-step explanation:
Given equation:
4a - 5 = 11
Add 5 to both sides:
⇒ 4a - 5 + 5 = 11 + 5
⇒ 4a = 16
Divide both sides by 4:
⇒ 4a ÷ 4 = 16 ÷ 4
⇒ a = 4
Answer:
Option (C)
Step-by-step explanation:
In the given circle, AB is a chord passing through the center O.
Therefore,chord AB is a diameter of the circle and OC is the radius.
AO = OB = OC
OC⊥AB, and length of OC = 7 cm
By applying Pythagoras theorem in right ΔBOC,
BC² = OC² + OB²
BC = 
= 
= 
≈ 9.9 units
Therefore, Option (C) will be the answer.
