Answers
Hi there!
[tex]\large\boxed{t = 12.60 \text{ days}}[/tex]
We can solve this by setting the equation equal to 150:
[tex]150 = \frac{230}{1 + 56.5e^-0.37t}[/tex]
Cross-multiply and divide:
[tex]150 (1 + 56.5e^{-0.37t})= 230[/tex]
Divide both sides by 150:
[tex]1 + 56.5e^{-0.37t} = 1.5333[/tex]
Isolate for t by subtracting both sides by 1 and dividing by 56.5:
[tex]56.5e^{-0.37t} = 0.5333[/tex]
[tex]e^{-0.37t} = 0.0094395[/tex]
Take the natural log to solve for t:
[tex]ln (0.0094395) = -0.37t[/tex]
[tex]-4.6628522 = -0.37t[/tex]
Divide both sides by -0.37:
t = 12.60 days.
Related Questions
The area of a gym is 2,952 m2. If the width of the gym is 41 m, what is the length of the
gym?
Answers
Answer:
72m
Step-by-step explanation:
Given data
Area= 2,952 m^2
Width=41m
We know that
Area= Length*width
Substitute
2,952= Length*41
Length= 2,952/41
Length= 72m
Hence the width is 72m
7. The rectangle below is dilated by a scale factor of
3.6
to create a new rectangle. Which of the following
could be the dimensions of the new rectangle?
Answers
The new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a rectangle shown in the picture.
The width of the rectangle = 1 1/2 = 3/2 = 1.5 cm
The length of the rectangle = 4 cm
The rectangle is dilated by a scale factor of 3.6:
The new width of the rectangle = 1.5×3.6 = 5.4 cm
The new length of the rectangle = 4×3.6 = 14.4 cm
The dimension of the new rectangle = 14.4 cm ×5.4 cm
Thus, the new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
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Sophia was going out to eat with some of her friends. The bill for the food
was $62. They wanted to leave a 20% tip. What was the total that Sophia
and her friends paid? Explain how you found your answer.
Answers
Answer:
$12.40
Step-by-step explanation:
You can set this up as .20 x 62 which will give you $12.4 or $12.40. You get .20 by converting 20% to a decimal. Also you can simply put 60-20% on a calculator.
Ayesha earns a 10 percent bonus based on her annual salary plus the number of sales shes earned and a 2,000 dollar bonus last year
Answers
The annual salary will be 49750
Gross salary would be the total amount of compensation that an employer or business pays an employee during their employment. The Cost of Company, as well as CTC, on the other hand, would represent the overall compensation of employees. The CTC seems to be an employee's gross pay, but their net compensation is how much they actually take home.
Now, According to the question:
Let x be the annual salary.
Then 10% of x+250 equates 0.1(x+250).
Thus, the bonus equates $5000, then we will get the equation:
0.1(250 + x) = 5000
Solving for 'x' we get:
250 + x = [tex]\frac{5000}{0.1}[/tex]
250 + x = 50000
x = 50000 - 250
x = 49750
CTC and gross salary are sometimes confused. But there is a distinction among the two. Before taxes, Employee Provident Fund (EPF) contributions, and gratuities deducted from the CTC, the amount paid to the employee would be known as their gross salary.
The complete question is this:
__"Ayesha earns a 10% bonus based on her annual salary plus the number of sales she makes. She made 250 and earned a $5,000 bonus last year. Write and solve an equation to find her salary last year__"
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there is nothing that tells me what to do. or what to solve for
Answers
Step-by-step explanation:
I think it's wrongly labelled
but lemme adjust it and get you back on track
this is a quadrilateral which angles sum upto 360°.
this hold when <D=84°,<N=74° <M=82 and <L=3x+20
84+74+82+3x+20=360
3x+260=360
3x=100
x=100/3
x=33. 3°
Which properties are best used prove a quadrilateral is a square?
a) Adjacent sides are perpendicular.
b) Diagonals are congruent.
c) Diagnonals are congruent and perpendicular.
d) Opposite sides are parallel and congruent.
Answers
Answer:
a, b, c, & d
Step-by-step explanation:
write the equation of the line in fully simplified slope intercept form
Answers
The equation of a line can be written in both slope-intercept form and standard form.
Write the equation of the line in fully simplified slope intercept form?The equation of a line in slope intercept form is written as y = mx + b, where m is the slope of the line, and b is the y-intercept of the line.The simplified form of the equation of a line is obtained by first identifying the slope of the line. The slope of a line is the ratio of the vertical change (rise) over the horizontal change (run). The slope of a line is written as m = (y2 - y1)/(x2 - x1).Next, the y-intercept of the line is found. The y-intercept is the point where the line intersects the y-axis. To find the y-intercept, substitute the slope into the equation of the line and solve for b.Once the slope and y-intercept have been determined, the equation of the line can be written in fully simplified slope intercept form as y = mx + b.For example, if the slope of a line is 4 and the y-intercept is 6, then the equation of the line in slope intercept form is y = 4x + 6.To learn more about slope intercept form refer to:
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The number of homeruns hit by each player on the Bobcats baseball team is listed below. Which measure of center best describes the approximate number of homeruns hit by a typical Bobcat player? 12, 8, 4, 3, 3, 2, 2, 2, 0
Answers
Find the value of k so that the point (1,2) lies on the locus y²-2x-ky+5=0.
Answers
Step-by-step explanation:
1. To find k, use the point (1,2) by inputting it into the equation like (2)^2-2(1) - k(2) + 5 = 0.
2. Simplify the equation by multiplying or squaring the variables with their coefficients. This should give you 4 - 2 - 2k + 5 = 0.
3. Combine like terms 4, -2, and 5. This should give you 7 - 2k = 0.
4. Subtract 7 on both sides to get the k and its coefficient alone. Now the equation becomes -2k = -7.
5. Divide -2 on both sides to get k by itself. This would simplify the equation to k = 3.5.
is 32% greater then 0.23?
Answers
Answer:
yes
Step-by-step explanation:
32% is the same as 0.32
0.23 is the same as 23%
If someone could pls help me with this that would be great!!
Answers
Triangle A and triangle B are drawn on the grid. Describe fully the single transformation which maps triangle A onto triangle B.
Answers
Answer:
Step-by-step explanation:
Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.
help me pls!!! 8th grade math. it’s due today ;-;
Answers
whats the volume of this shape
r-11cm
h-16 cm
Answers
Answer:
you know who else like the shape my mom
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
Answers
Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.
What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.To learn more about arithmetic sequences refer to :
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HELP DUE IN 10 MINS!
Solve for the value of x and find the length of the midsegment of the trapezoid below.
x =??
Answers
Answer:
x = 15Step-by-step explanation:
Midsegment of the trapezoid is half the sum of the bases:
4x + 5 = (2x + 15 + 4x + 25)/24x + 5 = 3x + 204x - 3x = 20 - 5x = 15Which pair of lines appears to be perpendicular?
ОА.
+XI
B
Answers
A flagpole on level ground casts a shadow 13 meters long when the sun is 26° up from the horizon. How tall is the flagpole?
Answers
Answer:
x= 23780. 6. An airplane climbs at an angle of 18° with the ground. Find the ground distance the plane travels as it moves 2500 m through the air.' 2378m. 1. lighthouse .
Step-by-step explanation:
Answer:
Approximately 6.3405 feet
Step-by-step explanation:
Our trigonometric ratio will be tangent in this case, since we are working with the opposite and adjacent sides.
Our equation that we set up will end up being [tex]tan\theta=o/a[/tex]
[tex]tan(26)=x/13[/tex]
[tex]13tan(26)=x[/tex]
[tex]13(0.4877) = x[/tex]
[tex]x=6.3405[/tex]
A bottle of water is 2/3 full. You drink 1/2 of the water. find the portion of the bottle of water that you drink.
Answers
Step-by-step explanation: Subtract 1/2 from 2/3 after finding the same denominator which is 6. 2/3 turns into 4/6 and 1/2 turns into 3/6. 4/6 minus 3/6 is 1/6. That's your answer!
What is math trying to do with me?
seriously
:^
Answers
Answer:
1.
Y would equal to 449 after plugging in 12 for x
2.
Y would equal to 239 after plugging 7 in for x
Step-by-step explanation:
We just have to plug in the values give too us and find what y equals.
1.
y=42(12)-55
y=504-55
y=449
2.
y=42x-55
we just have to plug in 7 for x.
y=42(7)-55
42*7=294
y=294-55
y=239
please help no links please??
Answers
Answer:
5(3)² - 4
5x9-4
the answer is 41
Answer:
41
Step-by-step explanation:
5(9) - 4
45-4
41
HELP!!! I WILL GIVE YOU 24 POINTS!!!THINK SMaRTER| Sense or Nonsense? . Emilio and Julia used different ways to find ‡ + 4. Emilio used a rodel to find the quotient. Julia used a related multiplication equation to find the quotient. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.
Answers
Answer:
24
Step-by-step explanation:
24 it's could be ok. I think 24 is good.
Answer: I think it's nonsense??? Not quite sure...
Step-by-step explanation:
Suppose you choose a marble from a bag containing 2 red marbles, 2 white marbles and 6 blue marbles. You return the first marble to the bag and choose again. Find p (red then blue)
A.4/5
B.6/5
C.3/25
D.2/5
Answers
Answer:
3/25
Step-by-step explanation:
There are 10 marbles in the bag, all equally likely to be chosen.
P(red) = 2/10 = 1/5
P(blue) = 6/10 = 3/5
Multiply these (red then (and) blue) = 1/5 x 3/5 = 3/25
AG= 2y-3= feet
BG= 6x-2.5= feet
Answers
is this a question or a answer
if anybody knows the answer please help!!!
Answers
Answer:
C!
Step-by-step explanation:
Ive done a test about this type of math! Its easy just a few ears and notes!
What value will make the equation true? Show your work or explain how you found your solution. - 2.1 - x = -1.5.
Answers
Answer:
The Answer is 0.6
Step-by-step explanation:
Another way to do it is (-2.1) - (-1.5)
help!!
[tex]\sqrt{400-400}[/tex]
Thanks!!
have a nice day!
Answers
[tex] \huge \boxed{\mathfrak{ \: hi \: \: james}}[/tex]
[tex] \huge \mathcal{Answer}࿐[/tex]
[tex]\longmapsto \sqrt{400 - 400} [/tex]
[tex]\longmapsto\sqrt{0} [/tex]
[tex]\longmapsto0[/tex]
Answer:
[tex]\sqrt{400-400} =0[/tex]
Step-by-step explanation:
hope it helps...
thanks...
have a great day!!
please help...
Https://brainly.com/question/23389243?answeringSource=feedPublic%2FhomePage%2F21
Answers
Answer:
the link doesn't work.....
If 5 inches is added to both the length and the width of a rectangle, then the
perimeter is increased by -
Answers
Answer
the perimeter is increased by 5
Step-by-step explanation:
If 5 inches is added to both sides of the rectangle. Then the perimeter of the rectangle is increased by 20.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
If 5 inches is added to both the length and the width of a rectangle.
Then the new perimeter of the rectangle is given as,
P = 2[(L + 5) + (W + 5)]
P = 2[L + W + 10]
P = 2(L + W) + 20
If 5 inches is added to both sides of the rectangle. Then the perimeter of the rectangle is increased by 20.
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You start driving east for 14 miles, turn left, and drive north for another 6 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answers
Answer: 15.2
Step-by-step explanation:
(14)^2 + (6)^2 = c^2
196 + 36 = c^2
232 = c^2
Square root both sides
15.231546 = c
15.2 ≈ c
The distance of the straight line from the starting point by the is is 15.2 miles.
What is the distance of a point from a line?The distance between a point and a line is the shortest distance between them.
Pythagoras TheoremIt states that if a triangle is right-angled (90 degrees), then the square of hypotenuse is equals to the sum of the squares of the other two sides.
Pythagoras Theorem EquationIf ΔOAB is a right angled triangle, right angle at A
then the Pythagoras equation will be
[tex]OB^{2} =AB^{2} +OA^{2}[/tex]
(where OB, OA and AB are the length of the sides of triangle OAB)
According to the question
We have to find ,the distance of straight line from the starting point.
From, the provided figure we can conclude that OB is the straight line whose distance to be find
In ΔOAB, we have
[tex]OB^{2} =OA^{2} +AB^{2}[/tex] (By Pythagoras theorem)
[tex]OB^{2} =14^{2} +6^{2}[/tex]
[tex]OB^{2} =196+36[/tex]
[tex]OB=\sqrt{232} \\OB= 15.23 miles[/tex]
[tex]OB=15.2 miles[/tex]
Hence, the distance of straight line from the starting point is 15.2 miles.
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