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Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!
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Part 1) Finding the inverse
Let x = r and y = H(r)
We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01
From here, swap x and y to get the equation x = 6240(1+0.01y)^t
Let's solve for y
x = 6240(1+0.01y)^t
6240(1+0.01y)^t = x
(1+0.01y)^t = x/6240
1+0.01y = (x/6240)^(1/t)
0.01y = (x/6240)^(1/t)-1
100*0.01y = 100*((x/6240)^(1/t)-1)
y = 100*((x/6240)^(1/t)-1)
y = 100*(x/6240)^(1/t) - 100
This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.
We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.
So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.
The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.
===========================================================
Part 2) Finding the growth rate if the number of households is 7800 after 3 years.
We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)
r(H) = 100*(H/6240)^(1/t) - 100
r(7800) = 100*(7800/6240)^(1/3) - 100
r(7800) = 7.72173450159419
You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72
Since r = 7.72, this means the growth rate is 7.72%
MARKING BRAINLIESTPLZZ HELP ME W MY MATH
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Answer:
As BVC is similar to RJC
from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12
Y=12
The stock of Company A lost $1.18 throughout the day and ended at a value of
$28.32. By what percentage did the stock decline?
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Answer:
the percentage did the stock decline is 4%
Step-by-step explanation:
The computation of the percentage did the stock decline as follows:
= Lost value ÷ original price
= $1.18 ÷ ($1.18 + $28.32)
= $1.18 ÷ $29.50
= 4% decline
Hence, the percentage did the stock decline is 4%
Solve for x. If anybody can, can someone help me out with this one? Thank you!!
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Answer:
x=3
Step-by-step explanation:
Please look at picture and answer the simplifying part
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Answer:
3/10
Step-by-step explanation:
it is completely simplified already
Which explicit equation below matches the given recursive equation? t (n+1) = t (n) -3 t (1) = 8
A. t (n) = 11 - 3n
B. t (n) = -3n + 5
C. t (n) = 3n - 8
D. t (n) = 8 - 3n
PLEASE HELP!!!
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Answer:
B because it would need to be a negative number
who do you solve this?
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Answer:18
Step-by-step explanation: the other side is 20 and there the same length so y is 18 because 18+2=20
please help i’m sorry!!! 15 points again!
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Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m
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Answer:
D. 1.47
Step-by-step explanation:
Answer:
1.47
Step-by-step explanation:
how many solutions does 4x-20= -2 (-2x + 10) have
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Answer:
It only has one solution.
Step-by-step explanation:
4x-20= -2 (-2x + 10)
Add 20 to both sides
4x-20+20=4x-20+20
simplify:
4x=4x
Subtract 4x from both sides
4x-4x=4x-4
Simplify:
0=0
What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?
Respond in the space provided.
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Answer: 21
Step-by-step explanation:
Formula
(21.2°F − 32) × 5/9 = -6°C
What type of triangle (right, obtuse, acute) do the angles 5,5,5 form?
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Answer:
acute
Step-by-step explanation:
5 is lower than a 90* angle
if this is wrong I'm very sorry.
Which set of ordered pairs (x, y) could represent a linear function?
A = {(0,-5), (3,-2), (6,0), (9,3)}
B = {(-7,5), (-5,4), (1,1), (5, -1)}
C = {(-7,-4), (0, -1), (4,1), (6,2)}
D = {(-2,3), (0,2), (2,0), (4, -2)}
which on is the right answer?
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Answer:
A.
Step-by-step explanation:
Graphed them
i hope this helps :)
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.
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Answer:
300 bags of dog food
Step-by-step explanation:
4b + 2b + b + b = 600
(dog) + (cat) + (bird) + (hamster) = 600
8b = 600
b = 75
Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.
Find the length of C
HELP ASAP PLZ
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Answer:
c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)
Step by step explanation: c=6
The balance on Matthew’s gift card is $228. His card was debited by $178 from purchasing several items. What is the remaining balance on his card?
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Answer:
50 dollars
Step-by-step explanation:
228-178=50
The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long! HOW TALL IS IT? WILL MARK BRAINLIEST
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Answer:
12 ft
Step-by-step explanation:
Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft. Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:
(13 ft)^2 = y^2 + (5 ft)^2. Then y^2 = 144 ft^2, and y =height= 12 ft
I'm confused, please help. :/
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uh i did this wrong so uh just ignore what i said
Answer:
82°
Step-by-step explanation:
Angle C and B equal the measure of angle A so,
143 - 61 = 82
Angle B is 82°
the question is in the photo
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Answer:
d is vertical so its 70 b c and a combined is also vertical to e so we have 110
Step-by-step explanation:
The binomial (x+2) is a factor of ?
1). 2x^{2} -5+3
2). x^{2} +5x+18
3). x^{3} +5x^{2} + 18
4). x^{3} +5x+18
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Answer:
4). [tex] x^{3} +5x+18 [/tex]
Step-by-step explanation:
The binomial (x+2) is a factor of [tex] x^{3} +5x+18. [/tex]
Since, (x + 2) is a factor.
So, x = - 2 is a root
Plug x = - 2 in [tex] x^{3} +5x+18 [/tex]
We find:
[tex] x^{3} +5x+18 [/tex]
[tex] =(-2)^{3} +5(-2)+18 [/tex]
[tex] =-8 - 10+18 [/tex]
[tex] = - 18+18 [/tex]
[tex] = 0 [/tex]
Since, at x = - 2 the value of the expression [tex] x^{3} +5x+18 [/tex] becomes zero.
Therefore, (x + 2) is a factor of [tex] x^{3} +5x+18 [/tex]
Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent
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Answer:
24.53
Step-by-step explanation:
9% of 22.50 = 2.03
22.50 + 2.03 = 24.53
Answer:
24.53
Step-by-step explanation:
After 14 years, I shall be three times as old as I was 4 years ago. What is my present age?
Answers
Answer:
Present age = 13 years
Step-by-step explanation:
Let the present age be x years.
14 years after age = (x + 14) years
4 years ago age = (x - 4)
According to the given information:
14 years after age = 3 times 4 years ago age
x + 14 = 3(x - 4)
x + 14 = 3x - 12
14 + 12 = 3x - x
26 = 2x
x = 26/2
x = 13 years
Thus, the present age is 13 years
6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Answers
Answer:
452.448in² options D
Step-by-step explanation:
A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Given data
D=24 inches
Radius =d/2= 24/2= 12 inches
Area A
A=πr²
Substitute
A=3.142*12²
A=3.142*144
A=452.448in²
PLEASE HELP!!!!!! IM HORRIBLE AT MATH
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Im bad at math too! we can be horrible at math together
Which relation is a function?
{(5, 0), (–8, –5), (–8, 5), (–5, –8)}
{(5, 0), (0, 5), (–5, –5)}
{(5, 0), (0, –8), (5, –5)}
{5, 0, –8, –5}
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How many pounds are in 6 tons, 200 pounds
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Answer:
there are 12000 pounds in 6 tons
There are 12,200 pounds in 6 tons, 200 pounds .
To convert tons to pounds, we need to multiply the number of tons by the conversion factor of 2,000 pounds per ton .
A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds .
Given that there are 6 tons and 200 pounds, we can calculate the total weight in pounds as follows :
6 tons * 2,000 pounds/ton + 200 pounds = 12,000 pounds + 200 pounds = 12,200 pounds .
Therefore, there are 12,200 pounds in 6 tons, 200 pounds .
To know more about pounds click here :
https://brainly.com/question/29006781
#SPJ2
I will give brainliest if correct !!
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Answer:
c-11
Step-by-step explanation:
Answer:
Step-by-step explanation:
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answers
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
solve both problems please
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please can someone help me asap i should find the roots (zeros) of this equation:
f(x) = x^4 -6x^3 + 12 x^2 -8 x
please
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Answer:
1/2-1/2, 3
Step-by-step explanation:
Notice that the ratio of the first and second terms is the same as that between the third and fourth terms. So this cubic will factor by grouping:
