The correct option is: A. 2 years
Explanation
The given growth equation is: [tex]20000e^0^.^1^5^t = 28000[/tex], where [tex]t[/tex] is the number of years the population has been growing.
For finding the number of years, we will solve the above equation for [tex]t[/tex].
First, dividing both sides by 20000, we will get........
[tex]\frac{20000e^0^.^1^5^t}{20000}=\frac{28000}{20000}\\ \\ e^0^.^1^5^t = 1.4[/tex]
Now taking 'natural log' on both sides, we will get........
[tex]ln(e^0^.^1^5^t)=ln(1.4)\\ \\ 0.15t*ln(e)= ln(1.4)\\ \\ 0.15t*1=ln(1.4)\\ \\ t=\frac{ln(1.4)}{0.15}=2.243..... \approx 2[/tex]
So, the population of the town has been growing about 2 years.
The town has been growing for 17 years
Exponential functionsGiven the exponential function
Given the expressions 20,000e^0.15t=28,000
We are to find the value of "t" which is the time.
e^0.15t = 28000/20000
e^0.15t = 7/5
e^0.15t = 1.4
Take the ln of both sides
lne^0.15t = ln 1.4
0.15t = 2.639
t = 2.639/0.15
t = 17years
Hence the town has been growing for 17 years
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Prove by PMI that
3^n >= 1+2^n
By what percent will a fraction change if its numerator is decreased by 50% and its denominator is decreased by 25%?
(N/2)÷(3D/4) = 2N/3D
So the answer is 33.33333% or 33 1/3%
Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnelly practiced the piano for 11 hours. For how many hours did each young man practice the piano?
Are you shipping box has a height equal to its with which is equal to its length of the box can hold 1525 cm³ what is the length of one of its sides
how many sets of 4 consecutive numbers are there such that the product of the numbers is less than 100000
What is 0.0004694 in scientific notation
least common multiple of 17,3,7
maggie’s brother is 6 years younger than four times her acne. the sum of their ages is 34. how old is maggie
In the number 555.55 each digit is a 5 but the value of each 5 is different based on its place in the number. How does the value of the 5 in the tenths place compare to the value of the underlined digit 5
The value of each 5 in the number 555.55 depends on its place value. A 5 in the tenths place (representing 1/10 or 0.1) would have a much smaller value compared to a 5 in the hundreds place in the same number, due to the multiplying factor of ten for each place value.
Explanation:In the number 555.55, each digit is indeed a 5. However, the value of each 5 changes depending on its place value. The tenths place, to the right of the decimal point, represents tenths or 1/10 (0.1).
If the underlined digit 5 is in the hundreds place, for example, it will have a value of 500. To compare, the value of the 5 in the tenths place (which is 0.5) is much smaller than the value of the 5 in the hundreds place. In fact, it's 1,000 times smaller because each move to the left in place value multiplies the digit by 10.
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Noel Devine bought a new dishwasher for $320. He paid 20 down and made 10 monthly payments of $34 what actual yearly interest rate did Noel pay?
Which two fixed points define the shape of a hyperbola?
A.) center and focus
B.) focus and directrix
C.) two foci
D.) vertex and focus
What property justifies 4-37-25=4-25-37
Which of these indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency?
a.
The bank lists the initials “NA” after its name.
b.
The bank has the word “Federal” in its name.
c.
The bank is qualified to give loans.
d.
The bank is owned by the government.
Which of these indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency?
a. The bank lists the initials “NA” after its name.
The full form of N.A is N stands for national and A stands for Association. This inclusion of initials helps the banks to be distinguished as national and legal.
The bank is qualified to give loans indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency.Option a is correct.
What is the role of the Currency Comptroller?All federal savings organizations, national banks, and federal branches and agencies of foreign banks are chartered, governed, and overseen by the Office of the Comptroller of the Currency (OCC).
The OCC is a stand-alone division of the U.S. Department of the Treasury, and the Comptroller of the Currency is in charge of it.
The OCC makes ensuring that national banks and federal savings organizations run securely, fairly access financial services, treat customers fairly, and adhere to all relevant laws and regulations.
Thus, the bank is qualified to give loans indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency.Option a is correct.
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Write the equation of the sphere in standard form. 2x2 + 2y2 + 2z2 = 12x − 24z + 1
What power can you write to represent the volume of a cube shown? write the power as an expression with a base and an exponent and ,then find the volume of the cube.
one slice of cheese pizza contains 310 calories.A medium-size orange has one-fifth that number of calories. How many calories are in a medium-size orange?
If a computer cost$600.00 and the sales tax rate is 7.5 percent, what is the total cost
Find an expression in simplest form for the verbal description.
The sum of the cost of dinner d and a $12 tip divided equally between 4 people
A recipe calls for 400 grams of flour. if leena makes one quarter of the recipe, how many kilograms of flour will she need?
Solve the equation:
(x^4 - x + y)dx - xdy=0
Expand and simplify:
(x+2)(x+3)
Find all the square number that are greater then 20 but less then 50
Write the ratio 28 inches to 9 feet as a fraction in simplest form
3 4/5 as a improper fraction may u pls explain how u get the answer
A school PTA wants to rent a dunking tank for its annual fundraising carnival. The cost is $80 for the first three hours and then $19.75 for each additional hour or part thereof. How long can the tank be rented if up to $200 is budgeted for this expense?
The tank can be rented for maximum of 6 hours.
We have school PTA wants to rent a dunking tank for its annual fundraising carnival. The cost is $80 for the first three hours and then $19.75 for each additional hour or part thereof.
We have to determine how long can the tank be rented if up to $200 is budgeted for this expense.
The critical level for the number of bacteria spread is 1000. Starting from 500, if the bacteria count rises by 5 every second, then determine whether after 30 seconds the critical level is passed or not?Initial count = 500
Count increasing per second = 5
Critical level = 1000
Assume that the bacteria count after t seconds is y. Then -
y = 500 + 5t
for t = 30 ↔ y = 150 + 500 = 650 < 1000 → Critical level not passed.
According to question, we have -
Cost for first three hours = $80
Cost for additional hour = $19.75
Total Budget = $200
Assume that the tank can be bought for 'n' hours. Then -
80 + 19.75n ≤ 200
Solving the inequality -
19.75n + 80 - 80 ≤ 200 - 80
19.75n ≤ 120
n ≤ 6.07
or
n ≤ 6
Hence, the tank can be rented for maximum of 6 hours.
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the perimeter of a school crossing sign is 102 inches what is the length of each side
I hope that helps!
Answer:
The length of each side is 21 inches, 21 inches, 15 inches, 30 inches and 15 inches.
Step-by-step explanation:
Consider the provided figure.
It is given that the perimeter of a school crossing sign is 102 inches.
The figure have 5 sides having the length s+6, s+6, s, 2s and s.
Now the perimeter is the sum of all sides,
s+6+s+6+s+2s+s=102
6s+12=102
6s=102-12
6s=90
s=15 inches
The length of each side is:
s+6=15+6=21 inches
s+6=15+6=21 inches
s=15 inches
2s=2×15=30 inches
s=15 inches
Hence, the length of each side is 21 inches, 21 inches, 15 inches, 30 inches and 15 inches.
Joelle is working on a school report in a word processor. She wants to place a figure which is 13.09 cm wide so that it appears centered on the page. The width of the page is 21.59 cm.
How much margin should she leave on the left so that the figure is centered?
Do I divide the width by 13.09 to get the answer? Not very sure
Answer:
The answer is 4.25 cm.
Step-by-step explanation:
Given is - Joelle wants to place a figure which is 13.09 cm wide so that it appears centered on the page. The width of the page is 21.59 cm.
To solve, this first we will 13.09 from the 21.59, and then divide that number in half to find the left and right margin.
[tex]21.59-13.09=8.5[/tex]
[tex]\frac{8.5}{2}= 4.25[/tex]
Therefore, the answer is 4.25 cm.
60,488 rounded to the nearest 10,000
how do you write 12.325 in expanded form
Draw or write to show that the number 18 is an even number
The number 18 is considered an even number because it can be divided by 2 to result in another integer. This is confirmed by writing 18 as 2 times 9, which results in an even product.
Explanation:In mathematics, an even number is any integer that can be exactly divided by 2 without leaving a remainder. For example, the numbers 2, 4, 6, 8, and 10 are even because each can be divided by 2 to result in another integer. If you divide an even number by 2, the result is always a whole number, and that's not the case with odd numbers. Let us examine the number 18.
If we write 18 as 2 times 9, we see that it has been turned into a product of 2 and another integer (9, in this case). This indicates that 18 is indeed an even number. Therefore, we can be sure of the fact that the number 18 is an even number, because it can be divided by 2 without leaving a remainder.
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