Answer:
Step-by-step explanation:
a) if the population at the beginning of the year 2000 was 7500 people,
The 1-year percent change in the city's population would be
3.6/100 × 7500 = 270
b) The population after 1 year is
7500 - 270 = 7230
The percentage of the previous value of the population to its new value for each year is
7230/7500 × 100 = 96.4%
c) the 1-year growth factor for the population of the city would be
(1 - 0.036)^1 = 0.964
d) the function, g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000 would be
g = 7500(1 - 0.036)^t
g = 7500(0.964)^t
Answer: $25,500
<u>Step-by-step explanation:</u>
The given sequence {1300, 1300+150, ... } provides the following information:
- the first term (a₁) = 1300
- the difference (d) = 150
We can use the information above to find the explicit rule of the sequence:

We can use the explicit rule to find the 12th term (a₁₂)

Next, we can input the first and last term of the sequence into the Sum formula:

Answer:
X>5
Step-by-step explanation:
Since the initial deposit is given as $2500 then to get more than $4000, Mr. Brown needs additional 4000-2500=$1500
Since each month he deposits $300 then after x months he will have more than $1500 additional.
4000<300x+2500
Collecting like terms
4000-2500<300x
1500<300x
Simplifying
5<x
Or
x>5
Answer:
4x+5 = 2x-9
Step-by-step explanation:
Nora's speed (5*8)m²/2h= 20 m²/h.
Zack's speed (4*9)m²/3h= 12 m²/h
Together for 1 h they paint (20+12) m²/h=32m²/h
Given area (10*12)m²=120 m²
120m² *1h/32m² = 3.75 h (3h 45 min) to paint 10m*12m together.