In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use an exponential growth function to project the populating in 2025. Round to the nearest whole number. *

The population is 11179

Step-by-step explanation:

We can use the compound interest formula but a modified type here.

Mathematically the population in the year 2025 will be;

P = I(1+r)^t

where p is the population by 2025

I is the initial population in 2018 which is 975

r is the percentage increase or decrease = 2.75% = 2.75/100 = 0.0275

t is the difference in years which is 2025-2018 = 7

Plugging these values we have;

P = 975(1+ 0.0275)^7

P =975(1.0275)^7

P = 1,178.9

which is 1179 to nearest whole number

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %