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:
brainly.com/question/2193820
#SPJ2
I need help can someone help me that is good in math.
Number4
The area is 230
the perimeter is 66
Please help me, I do not understand.
9514 1404 393
Answer:
p : q = 3 : 2
Step-by-step explanation:
You are given sufficient information to write two relations involving p and q. We presume these will be sufficient to find an answer to the question. We will be able to find p and q. Then we can find their ratio, as the problem asks.
(p-15)/(q-15) = 2/1
(p+30)/(q+30) = 5/4
__
From the first equation, we get ...
p -15 = 2(q -15)
p = 2q -15 . . . . . . . add 15, simplify
From the second equation, we get ...
4(p +30) = 5(q +30)
4p + 120 = 5q + 150
4p = 5q + 30
Using the first equation to substitute for p, we have ...
4(2q -15) = 5q +30
8q -60 = 5q +30 . . . eliminate parentheses
3q = 90 . . . . . . . . . . . add 60-5q to both sides
q = 30 . . . . . . . . . . . . divide by 3
p = 2q -15 = 2(30) -15 = 45
Then the desired ratio is ...
p : q = 45 : 30
p : q = 3 : 2
-(10)=1000
{True or False}
free 50
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
-(10) will still be -10, youre just multiplying the sign by the number
Enter two or moro numbers in the table to create a
histogram
Data
Enter the data to create a histogram. Then check all
that apply
runs
17
1
6
12868
0
The histogram has 1 cluster,
The histogram has 2 clusters,
The histogram has 1 peak,
The histogram has 4 peaks,
The histogram has 0 frequency from 4-5.
Show histogram
Answer:
b The histogram has 2 clusters.
c The histogram has 1 peak.
e The histogram has 0 frequency from 4-5.
Step-by-step explanation:
Answer: rileyayers85 is correct
Step-by-step explanation:
I got the answer right
a quadrilateral has vertice at (1,1) (4,2)(0,4) and (5,5) what is the perimeter of the quaddrilateral
Step-by-step explanation:
so your gonna add the number so yo the answer would be (10,12)
use substitution to solve the system of equations. Write the solution as an ordered pair.
x + 2y = 14
y = 3x - 14
Answer:
Step-by-step explanation:
x + 2(3x - 14) = 14
x + 6x - 28 = 14
7x - 28 = 14
7x = 42
x = 6
y = 3(6) - 14
y = 18 - 14
y = 4
(6,4)
Yesterday, a parking lot had 60 cars parked in it. Of the cars parked in the parking lot, 40% were silver, 14 were red, and the rest were blue. How many of the cars were blue?
A. 24 cars
B. 38 cars
C. 22 cars
D. 6 cars
Answer:
C. 22 Cars are Blue
Answer:
22
Step-by-step explanation:
no:of silver cars=60*40/100 ie 24
no:of red cars ie 14
total cars=silver+red+blue
60=24+14+blue
60=38+blue
blue cars=60-38
ie 22
which property justifies step 3 Given: 4(x - 6) + 12 = 20
Answer:
x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−6)+12=20
(4)(x)+(4)(−6)+12=20(Distribute)
4x+−24+12=20
(4x)+(−24+12)=20(Combine Like Terms)
4x+−12=20
4x−12=20
Step 2: Add 12 to both sides.
4x−12+12=20+12
4x=32
Step 3: Divide both sides by 4.
4x
4
=
32
4
Which point is located at (-3,6)
A) A
B) B
C) C
D) D
Answer is A
Step-by-step explanation:
Go over to the left 3 times then up 6
11g − 5g + –17g − –7g = –12
Answer:
g=3
Step-by-step explanation:
11g-5g+-17g-(-7g)=-12
Add the like terms (nice that in this case they are all on the same side)
6g+-17g-(-7g)=-12
-11g-(-7g)=-12
-4g=-12 Now we divide (phew that was a lot of negatives XD)
g=3
Pls help I need help pls
Answer:
The answer is C. The question states that he will work at LEAST 20 hours per week, which opens the possibility of working more as well. Therefore, the answer is C.
Step-by-step explanation:
the length of a boat is 10.8 m Boris buys a scale model of the boat the scale of the model is 1 to 18 work out the length of the scale model of the boat give your answer in centimetres
Answer:
The size of the scale model is 60 centimeters.
Step-by-step explanation:
Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:
1m = 100cm
10.8 m = (10.8 x 100) = 1080 cm
1080/18 = X
60 = X
Therefore, the size of the scale model is 60 centimeters.
*
(9) Complete the calculation so that each shows the correct sum.
0.5 1 3 7
+
1
Your answer
Answer:1.5137
Step-by-step explanation:
Somebody help please....
Answer:
4,096
Step-by-step explanation:
It goes like this 4 * -4=-16, 16*4=64, -64*4=256, etc.
You use the sum of the last number but flip the sin to make it opposite like if your some was + make it a negative to get your next product. Hope that made sense!!!!
i need help bad so please help
Answer:
7
Step-by-step explanation:
Answer:
The answer to this would be +7 yards
Step-by-step explanation:
I tried my best...please mark me brainliest and I hope you have a fantastic day!
Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represents the almonds that each friend ate?
Answer:
(x - 25) / 4
Step-by-step explanation:
In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...
(x - 25) / 4
Darius deposits $600 into a simple interest rate after a year the account balance will be $615 what is the interest rate?
Answer:
2.5%Step-by-step explanation:
Deposit = $600Time = 1 yearBalance after a year = $615Interest amount is:
$615 - $600 = $15Interest rate is:
15/600*100% = 2.5%Answer: the guy above me is right its 2.5%
Step-by-step explanation: 15/600 = 2.5/10
3/5 x 11 .................
Answer:
=6 3/5 or 33/5
Step-by-step explanation:
3/5 * 11
33/5
= 6 3/5
Step-by-step explanation:
[tex]{ \large{ \red{ ➠ \: \: \bf{ \frac{3}{5} \times 11}}}} \\ [/tex]
[tex]{ \large{ \blue{ ➠ \: \: \bf \frac{33}{5} }}}[/tex]
[tex]{ \large{ \green{ \therefore{ \boxed{ \bf6 \frac{3}{5} }} \: \: Ans}}}[/tex]
The average depth of five lakes is 229m. If none of the lakes is less than 194m deep then the greatest possible depth of one of these lakes in meters is,
Answer:
The average depth of five lakes is 229m. If none of the lakes is less than 194m deep then the greatest possible depth of one of these lakes in meters is,
Answer:
369
Step-by-step explanation:
* = Multiply
5*229=1145
Lakes * Average = Total Average Depth of Five Lakes
(1145-369)/4=194 (it worked)
4 is the other lakes, 369 would be considered the largest lake.
Answer is 369.
Cheers, iYekria
Lauren rides her bike 36 miles in 4 hours. How many feet is Lauren traveling each minute?
Answer:
786 feet per min
Step-by-step explanation:
60 (mins in an hour) x 4= 240 mins
there are 5240 feet in a mile
5240 (feet in a mile) x 36= 188640
188640 divided by 240= 768
please help me with this
here is the answer choices
25/20
20/25
25/15
15/25
Answer:
20 /25
Step-by-step explanation:
sin is the opposite side over the hypotenuse
sin C = NB/ NC
= 20/25
Help, how do i do this problem and I really need this
Find the slope of the line that
passes through the following
points. (-5, -10), (-5, 15)
Find m
Geometry help pls
Answer:
∠WXY=72°
Step-by-step explanation:
2X-2=70+X
2X-X=70+2
X=72° ⇒ ∠WXY=72°
system of equations
Answer:1:(2,7)
2:i or (1,-3)
3:is c or (-15,-25)
Step-by-step explanation:like if this helped mark me brainlest please
Answer:
(2,7)
(1,-3)
(-15,-25)
Step-by-step explanation:
Because both equations are equal to the same thing (y) we can just set them equal to each other and solve for x
4x-1=2x+3
solve for x
4x=2x+4
2x=4
x=2
We know that x=2 and can plug this value in for x into any of the beginning equations
4(2)-1=y
7=y
The answer is (2,7)
2.) We can do the exact same process as question one
x-4= -3x
-4= -4x
x=1
plug this x value in into any of the starting equations
1-4=y
-3=y
The answer is (1,-3)
3.) Same deal as the other two
x-10=2x+5
-x=15
x= -15
Plug this value in for x into any beginning equation
2(-15)+5
-30+5
y= -25
(-15,-25)
You can work a total of no more than 15 hours each week at your two jobs. Housecleaning pays $8 per hour and your sales job pays $10 per hour.
You need to earn at least $130 each week to pay your bills.
Write a system of inequalities to represent this situation. DO NOT SOLVE.
Let x = # of hours housecleaning and y = # of hours at the sales job
Find the value of the greater root of x2-6x+5=0
Answer: x-1)(x-5)=0 x=1 and 5
Step-by-step explanation:
PLEASE HELP
Solve the equation. Type just the numeral answer. Do NOT round your solution.
-5=b-2.3
b=
Answer:
The value of b = -2.7
Step-by-step explanation:
Given
As the equation is given by
[tex]-5=b-2.3[/tex]
To determine
Solve the equation for b
Given the equation
[tex]-5=b-2.3[/tex]
switch the sides
[tex]b-2.3=-5[/tex]
Add 2.3 to both sides
[tex]b-2.3+2.3=-5+2.3[/tex]
Simplify
[tex]b=-2.7[/tex]
Therefore, the value of b = -2.7
Answer:
b = -2.7
Step-by-step explanation:
Have a great day
AAH HELP PLEASSSSSSSSSSSSSE (i'll try to mark brainiest for the first person that helps me)
Which of the following expressions represents the value, in dollars, of a certain number of nickels, n, and dimes, d?
0.15nd
0.15n + d
0.10n + 0.05d
0.05n + 0.10d
Answer:
Step-by-step explanation:
dimes=0.10
nickels=0.05
last choice
0.05n+0.10d
I really don’t understand this question can someone please help i hope im not taking a lot of time out of your day
Answer:
A is correct I think
Step-by-step explanation:
Your not taking time from me
