Answer: The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
The function is growing exponentially at a rate of 0.85% every year.
What is the exponential decay equation?The exponential decay equation is given by:-
y = (1 ± r)ⁿ
Where r is the rate of decay and A is the initial amount and n is the time period.
The function is given in the question below as:
The function f(t) = 390(1.0085)³⁶⁵ ....(i)
This represents the change in quantity over t days.
As per the given exponential decay equation,
⇒ f(t) = 390(1.0085)³⁶⁵
We can above function rewrite as:
⇒ f(t) = 390(1 + 0.0085)³⁶⁵
⇒ f(t) = 390(1 + 0.85/100)³⁶⁵
⇒ f(t) = 390(1 + 0.85%)³⁶⁵
Compare to the standard exponential decay equation, and we get
⇒ r = 0.85%
Therefore, the function is growing exponentially at a rate of 0.85% every year.
Learn more about exponential growth and decay here:
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what would 4xy + 6y be? factoring and its not what i thought the answer was fdkjdfnds
Answer:
10xy^2
Step-by-step explanation:
Collecting like terms, 6+4=10 and the two y's will make y^2
Twenty percent is equal to what decimal?
Answer:
0.05
Step-by-step explanation:
PLEASE HURRY !! VERY URGENT.
Answer:
If the height is h, then
h/65=sin70 so that means h=65sin70=61.08m approximately
Step-by-step explanation:
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-6, -4),A(−6,−4),A, left parenthesis, minus, 6, comma, minus, 4, right parenthesis, comma B(-4,-4)B(−4,−4)B, left parenthesis, minus, 4, comma, minus, 4, right parenthesis, C(-4, -2)C(−4,−2)C, left parenthesis, minus, 4, comma, minus, 2, right parenthesis, and D(-6, -2)D(−6,−2)D, left parenthesis, minus, 6, comma, minus, 2, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units
The perimeter of the rectangle is 8 units
The coordinates of the rectangle is given as:
[tex]A = (-6,-4)[/tex]
[tex]B = (-4,-4)[/tex]
[tex]C = (-4,-2)[/tex]
[tex]D = (-6,-2)[/tex]
Start by calculating the distance between the vertices using the following distance formula
[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB=\sqrt{(-6 --4)^2 + (-4 --4)^2}[/tex]
[tex]AB=\sqrt{4}[/tex]
[tex]AB=2[/tex]
[tex]BC=\sqrt{(-4 --4)^2 + (-4 --2)^2}[/tex]
[tex]BC=\sqrt{4}[/tex]
[tex]BC=2[/tex]
[tex]CD=\sqrt{(-4 --6)^2 + (-2 --2)^2}[/tex]
[tex]CD=\sqrt{4}[/tex]
[tex]CD=2[/tex]
[tex]DA=\sqrt{(-6 --6)^2 + (-2 --4)^2}[/tex]
[tex]DA=\sqrt{4}[/tex]
[tex]DA = 2[/tex]
So, the perimeter of the rectangle is:
[tex]P =AB + BC + CD + DA[/tex]
This gives
[tex]P= 2 + 2+2+2[/tex]
[tex]P= 8[/tex]
Hence, the perimeter of the rectangle is 8 units
Read more about perimeters at:
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Factor the following expression.
12 vx?y9 + 18V3x6
Answer:
the anwser is 6(2vw?y+3V^3x^6)
Step-by-step explanation:
1000 points!
Match the civilization with the region it was located in:
1. Safavid
Anatolia
2. Mughal
Iran
3. Ottoman
India
Answer:
1. iran
2. South asia
3.Anatolia
Step-by-step explanation:
hehe
Answer:
1. iran
2. South asia
3.Anatolia
Step-by-step explanation:
What number divided by -12 is -5 as a result?
Answer:
60 divided by -12 = -5
Hope this helps
please please help asap :)
Answer:
12
Step-by-step explanation:
to get from 3 to 6, 3 is multiplied by two
multiply the 4 by two to give you 8
line WY = 8
X = 8 + 4
X = 12
Write a recursive formula for the sequence: −3, 34, −316, 364, −3256
Answer:
-7
Step-by-step explanation:
Sandra can type 180 words in 3 minutes. At this rate, how many words can she type in 5 minutes?
Answer:
300
Step-by-step explanation:
180÷3=60
60x5=300
Answer: 300 words in 5 minutes
Step-by-step explanation:
divide 180 by 3 (equals 60)
multiply 60 by 5 to get your answer (300)
3x + 2y = -10
5x + y = 9
Answer:
x=4, y=-11. (4, -11).
Step-by-step explanation:
3x+2y=-10
5x+y=9
--------------
3x+2y=-10
-2(5x+y)=-2(9)
--------------------
3x+2y=-10
-10x-2y=-18
-----------------
-7x=-28
7x=28
x=28/7=4
5(4)+y=9
20+y=9
y=9-20=-11
Im confused on this.....
The mystery number is a three-digit number. Its digits are 2, 8, and 3. • The 3 and the 8 are not next to each other • The 2 comes before 3. What is the mystery number?
Answer:
The mystery number is 823
Hope this helps.
Two people apply for loans of the same amount. Due to differences in their credit scores, their payments differ by 572
per month. How much more will the person with the lower credit score pay at the end of the 36-month loan.
9514 1404 393
Answer:
20,592
Step-by-step explanation:
Over 36 months, the extra payment of 572 per month will total ...
36 × 572 = 20,592
if dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3
Answer:
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
Step-by-step explanation:
Step(i):-
Given that the slope of the tangent
[tex]m = \frac{dy}{dx} = x(y-1)[/tex]
m = -2( 3-1) = -4
Given point x = -2
y = f(-2) =3
∴The given point ( x₁ , y₁) = ( -2 ,3)
Step(ii):-
The equation of the tangent line passing through the point (-2,3)
[tex]y - y_{1} = m(x-x_{1} )[/tex]
[tex]y -3 = -4(x-(-2))[/tex]
y -3 = -4( x+2)
y-3 = -4x -8
4x + y -3+8=0
4x +y +5=0
Step(iii):-
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
What’s measure angle K ?
Answer:
angle K = 180 - 128 = 52 degrees
Step-by-step explanation:
-4x+5 + -13x+39=180 angle measure
Step-by-step explanation:
−4x+5−13x+39=180
Step 1: Simplify both sides of the equation.
−4x+5−13x+39=180
−4x+5+−13x+39=180
(−4x+−13x)+(5+39)=180(Combine Like Terms)
−17x+44=180
−17x+44=180
Step 2: Subtract 44 from both sides.
−17x+44−44=180−44
−17x=136
Step 3: Divide both sides by -17.−17x
−17
=
136
−17
x=−8
Answer:
x=−8
Speedy Cav Company uses the following to determine ride costs:
A $5.00 flat fee for a ride.
An additional $0.75 for each mile traveled.
Which equation represents the cost of a car ride from Speedy Cab Company?
A. t = 5x + 0.75
B. t = 0.75 + 5
C. t = 0.75x + 5
D. t = 5x - 0.75
Gianah lives in Milton. She brought a bus ticket to travel to her cousin's house in Orlando. She gets on the bus in Mobile. The distance between the two cities is 300 kilometers and the bus drives at 70 kilometers per hour. If the bus is 30 kilometers away from Orlando how many hours has the bus traveled.
Answer:
3.85 Hours
Step-by-step explanation:
If the bus is 30km away, it has driven 270km. If it drives at 70km per hour, then your answer will be shown with 270/70, which is 3.85
Select the expression equivalent to 4(– 7) + 8.
Answer:
-20
Step-by-step explanation:
According to order of operations, multiplication comes before addition.
4(– 7) + 8 =
-28 + 8 =
-20
An expression equivalent to 4(– 7) + 8 would be:
8 + 4(-7)
This is true because of the commutative property which states that a+b=b+a
Answer:
-20
Step-by-step explanation:
It is very simple!
4x-7= -28
-28+8=20
[tex] \sqrt{3} \sin(x) - \cos(x) = \sqrt{2} ( < 0 \leqslant x \leqslant 360[/tex]
solve it
............!!!!!!!!!
Answer:
Look at the answer above.
please help me 10 points will give crown
Answer:
umm, i can't read it
Step-by-step explanation:
Needdddddd helpppppppp ASAP
Answer:
4th option, always increasing
Step-by-step explanation:
It’s always increasing because the graph is concave up
If you get it right/wrong, do let me know
a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to approximation pi
Answer:
37.68
Step-by-step explanation:
C(circumference)= 2pi r
If the diameter is 12, the r adius is 6
plug into equation
2(pi)(6)
=12pi
=37.68
Answer:
37.68 for K12
Write a number so that the equation will have an infinate number of solutions
3x+5=3x+
Answer:
3x+5=3x+5
they are both the same line
Answer:
3x+5=3x+5
It is same line
Step-by-step explanation:
in not less than 50 words write an essay on your favorite subject and why u like it
Answer:
i like science because its combines one of my favorite subjects and turns it into logic.
Which one of these is NOT equivalent to 2/3?
1. 11/23
2. 12/18
3. 14/21
4. 6/9
What is an
equation of the line that passes through the points (-3,7) and (3, 3)?
Which of the following inequalities is the solution to the number line?
Answer:
A
Step-by-step explanation:
- 5x + 4 > 9 ( subtract 4 from both sides )
- 5x > 5
Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity.
x < - 1
Which is represented by the given number line
Question 4
There are 230 calories in 4 ounces of strawberry ice-cream. How many calories are in 6 ounces of strawberry ice-cream?
Answer:
345
Step-by-step explanation:
How many are in one once? divide 230 by 4. There are 57.5 in one once. multiply that by 6. There are 345 in 6 ounces
Find mP.
A. 27°
B. 31°
C. 59°
D. 86°
Answer: Answer is actually A) 27
Step-by-step explanation: :)