Answer:
13Step-by-step explanation:
Use formula for continuous interest:
A = [tex]Pe^{rt}[/tex], where r- interest rate, t- time in yearsIf A = 3P, and r = 0.085 then the equation is:
[tex]3P = Pe^{0.085t}[/tex][tex]3 = e^{0.085t}[/tex]ln 3 = 0.085t1.099 = 0.085tt = 1.099 / 0.085t = 12.9 ≈ 13 yearsThe formula for compounded continuously is A = Pe^rt where A if the final amount, P is the initial value, r is the rate and t is the length of time.
E is the constant for continuous interest.
Using the information from the problem $20 tripled would be 20x3 = $60
Now you have 60 = 20e^0.085(t)
We need to solve for t:
Divide both sides by 20:
e^0.085(t) =3
Apply the exponent rule:
0.085(t) = ln(3)
Solve for t:
T = ln(3)/0.085
T = 12.92 years. (Round off as needed)
image below someone help me i will give brainliest
The population of Canada is 3.5×10^7, and the population of the world is 7.0×10^9. How many times larger is the population of the world compared to Canada's population?
No links
Only answer if your going to help
Answer:
The population of the world is 200 times of the population of Canada.
Step-by-step explanation:
Given that,
Canada's population = [tex]3.5\times 10^7[/tex]
The population of world = [tex]7.0\times 10^9[/tex]
We need to find how many times larger is the population of the world compared to Canada's population. It can be solved as follows :
[tex]\dfrac{W}{C}=\dfrac{7.0\times 10^9}{3.5\times 10^7}\\\\\dfrac{W}{C}=200\\\\W=200C[/tex]
So, the population of the world is 200 times of the population of Canada.
Sorry I'm dum,b and don't know scientific notation very well please explain for brainly =D
Answer:
Step-by-step explanation:
How did you miss this? it's just about moving the decimal place to where it makes better sense. which just means, it's easier to read, and maybe to compare with other numbers. Like how maybe
1,000,000,000,000 might be harder to compare to 1,000,000,000,000,000 than if it looked like this in scientific notation
1.0 x[tex]10^{12}[/tex] and
1.0 x[tex]10^{15}[/tex]
right away you can see the difference, right?
the lower two numbers are the same as the upper two numbers , just to be clear.
also, if the number is much messier like this
2,254.2356111142254 then it's good to put into scientific notation as
2.254 x [tex]10^{3}[/tex]
scientific notation always puts the decimal after the very 1st digit never like this
22.54 x[tex]10^{2}[/tex]
that's not correct scientific notation. The decimal always goes right after the 1st digit like this
3.00 x[tex]10^{8}[/tex] Km/s maybe you'll recognize this as a very close approximate for the speed of light? anyway, hope that helps
How do you know if it is a linear exponential or quadratic graph?
Linear graphs have the following form: y = mx + b, where m is the slope of the line and b is the y-intercept.
To calculate the slope, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Exponential graphs have the following form: y = ab^x, where a and b are constants. To calculate the constants, you can use the formula y = a + b^x, where (x, y) are two points on the graph and a is the y-intercept.
Quadratic graphs have the following form: y = ax^2 + bx + c, where a, b, and c are constants. To calculate the constants, you can use the formula y = ax^2 + bx + c, where (x, y) are two points on the graph and c is the y-intercept.
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Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick
So, Todd picked 1 apple.
We can use the information given to set up the following equations:
Let x be the number of apples Jack picked, and y be the number of apples Marta picked.
We know that x + y = 16 (Jack and Marta pick a total of 16 apples)
Let y be the number of apples Marta picked, and z be the number of apples Rand picked.
We know that y + z = 15 (Marta and Rand pick a total of 15 apples)
Let z be the number of apples Rand picked, and w be the number of apples Todd picked.
We know that z + w = 13 (Rand and Todd pick a total of 13 apples)
We know that the total number of apples picked is 45, therefore x + y + z + w = 45
We can use the equation x + y = 16 to express x in terms of y:
x = 16 - y
We can substitute this into the other equations
(16 - y) + y = 16
y + z = 15
z + w = 13
We can sum all the equations:
(16 - y) + y + y + z + z + w = 45
16 + 2y + 2z + w = 45
From the equation y + z = 15, we can substitute y = 15 - z
16 + 2(15 - z) + 2z + w = 45
16 + 30 - 2z + 2z + w = 45
46 + w = 45
w = 1
Therefore Todd picked 1 apple.
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You have a circle-shaped mirror in your bedroom. To figure out where to hang it, you must find the diameter of the circle. You know the radius is 34 centimeters. How long is the diameter in inches? (Diameter = 2xradius) ( 1in = 2.54cm)
A. 26.8 inches
B. 86.4 inches
C. 172.7 inches
D. 13.4 inches
The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.
The correct option is A.
What makes it called a circle?A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.
How can a circle be so strong?Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.
According to the given information:Given,
Radius of circle= 34cm=13.36 inches
Diameter= 2x radius
Diameter = 26.8 inches
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Can someone help me out my grade are bad
Answer:
a. 0.4 and 0.5
b. 0.46
Step-by-step explanation:
i don't know if this right, so lmk
Solve the following system of equations algebraically:
y = x² - 15x + 60
y=x-3
Since the square root of a negative number does not exist in the real numbers, there are no real solutions for x. Therefore, the system of equations has no solutions.
Define Algebric expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
What is variables and constants ?A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.
To solve this system of equations algebraically, we can substitute y = x-3 into the first equation
y = x² - 15x + 60
x-3 = x² - 15x + 60
x² - 16x + 63 = 0
We know that this quadratic equation has no real solutions because its discriminant (b^2 - 4ac) is negative, so the system of equations has no real solutions.
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Solve the equation for x, explain how you found the solution. pls help me
2x + ½= 8
Find the exact values of sin (-pi/12)
I showed the solution and the answer on a piece of paper in the photo
Answer:
[tex] - 0.25881904[/tex]
Step-by-step explanation:
Use the identity
[tex] \sin( - x) = - \sin(x) [/tex]
so
[tex] \sin( - \frac{\pi}{12} ) = - \sin( \frac{\pi}{12} ) [/tex]
Use angle subtraction trig formula
[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]
In order to get pi/12, we can subtract
pi/4 and pi/6.
[tex] \sin( \frac{\pi}{4} - \frac{\pi}{6} ) = \sin( \frac{\pi}{4} ) \cos( \frac{\pi}{6} ) - \cos( \frac{\pi}{4} ) \sin( \frac{\pi}{6} ) [/tex]
Simplify.
[tex] (\frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2}) - ( \frac{ \sqrt{2} }{2} \times \frac{1}{2} )[/tex]
[tex] \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4} [/tex]
[tex] \frac{ \sqrt{6} - \sqrt{2} }{4} [/tex]
which is about
[tex]0.25881904[/tex]
Remeber our sin is negative so our answer is
[tex] - 0.25881904[/tex]
The diameter of a circle is 8 inches what is the circumference
Answer:
25.12
Step-by-step explanation:
8 x 3.14
Answer:
Circumference= 2πr
Raduis is half of the diameter so the radius is 4 in.
2 x 3.14 x 4= 25.12
The circumference of the circle is 25.12 in
HELP PLEASE! 100PTS!
You're playing a game of pool and it's your turn, but you have no direct shots. To make any shot, you will need to bank the cue ball (the white ball) off the side of the table before it hits your ball.
That means that you hit the cue ball so that it bounces off the side and then hits your colored ball, moving it in the direction of a pocket (hole). The angle that the ball hits the bumper is equal to the angle that it bounces off the bumper.
The cue ball is 18 inches from the top bumper (side of pool table) and 50 inches from the right bumper. The dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction
By Solving this proportion will give you the value of the angle you need to aim your shot.
What is angle of elevation ?
angle elevation can be defined as the angle formed between line of sight and horizontal line.
Draw a diagram of the pool table, labeling the dimensions of the table and the position of the cue ball.
Since the cue ball is 18 inches from the top bumper and 50 inches from the right bumper, you can draw a right triangle with these side lengths.
The dimensions of the pool table can also be used to draw a right triangle, with the horizontal dimension (96 inches) as the base and the vertical dimension (46 inches) as the height.
These two triangles are similar because they are both right triangles and they share a right angle. Therefore, the ratios of their sides are equal.
You can use the ratios of the sides of these triangles to determine the angle at which you should aim your shot. To do this, you can set up a proportion using the corresponding sides of the two triangles. For example, you could use the ratio of the base to the height of the small triangle (18 inches to 50 inches) and set it equal to the ratio of the base to the height of the large triangle (96 inches to 46 inches).
Hence, by Solving this proportion will give you the value of the angle you need to aim your shot.
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Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?
Answer:
20° and 90°
Step-by-step explanation:
Let 2x = measure of 1st angle
then 9x = measure of 2nd angle
The sum of the measures of the angles of a quad is 360
200 + 50 + 2x + 9x = 360
250 + 11x = 360
11x = 110
x = 10
2x = 20°
9x = 90°
plzzzzz help show ur work to get brainiest im almost out of timeeeee
Answer:
4n^6+3n^4+5n^2
Step-by-step explanation:
(9n^6-7n^4+9m^2)-(5n^6-10n^4+4n^2)
(9n^6-5n^6)+(7n^4+10n^4)+(9n^2-4n^2)
4n^6+3n^4+5n^2
If this helps please mark as brainliest
PlsAnsweRRRRR
The median value is .
Answer:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
Step-by-step explanation:
Answer:
the median in this case would be 45
Step-by-step explanation:
(i’m going off what the other person said) since theres 5, you pick the one in the middle.
Convert 12/25 and 15 /35
Answer:
12/25 = .48
15/35 = .42857143...
34. The length of one side of the
square is 5 cm and the height of the
triangle is 4 cm. What is the TOTAL
area of the figure, in cm2?
Answer:
9 is the answer in 50% sure
Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.
Answer:
C - 5
Step-by-step explanation:
We know
Emmet had c caramels
His sister took 5 caramels, that means subtract 5, so the equation is
c - 5
There are 181 students going on a college field trip.
11 students ride in cars
The rest of the students fill 4 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus.
Enter your response in the first response box.
Enter the number of students that are on each bus.
Enter your response in the second response
box.
It’s due today please help!!
Answer:
42.5 (students that are on each bus)
Step-by-step explanation:
181 (students)-11 (students in cars) =170 students left
170(students left)÷4(buses)= 42.5(students that are on each bus)
Hope this help you
No links plz! Will mark brainliest if correct!
Answer:
(m-4) / (5m)
Step-by-step explanation:
((m²-16) / (5m)) / (m+4) =
(m²-16) / (5m(m+4)) =
m²-16 / (5m²+20m) =
(m-4) / (5m)
cuanto es 5X-3>-2X+4
Answer:
Step-by-step explanation:
7x > 7, o 7(x > 1).
es x>1
espero y te ayude esto
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
[tex]4x \sqrt[ + 15 - 15]{?} [/tex]
Answer:
please what subject is this
Please help I have a learning disablity and need help with this.
Please answer both parts
Find the product mentally. Show the steps you used.
4 x 5 1/8
Which one is correct
4(5) + 4 (1/8)
20 + 1/8
4 + 5 (1/8)
4 + 41/8
Answer here _______________
Find the product in the simplest form. Use your answer from question 1 when we rewrote it using the Distributive Property.
4 x 5 1/8
20 1/8
20 1/2
20/8
2 1/4
Answer here ______________
The product value of 4 x 5(1/8) is 4(5) + 4(1/8).
Option A is the correct answer.
The product value of 4 x 5(1/8) is 20(1/2).
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4 x 5(1/8)
= 4 x (5 + 1/8)
= 4 x 5 + 4 x 1/8
4 x 5(1/8)
= 4 x (5 + 1/8)
= 4 x 5 + 4 x 1/8
= 20 + 1/2
= 20(1/2)
Thus,
4(5) + 4 (1/8) is the value.
20(1/8) is the value.
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There were 17 students in the class at the start of the school year. During the year, three pairs of new students transferred into the class. How many students are in the class at the end of the school year?
Answer:
23
Step-by-step explanation:
a pair is 2 so 2 pairs time 3 2x3=6 so 17+6=23
(a-b)(a+2)-(a+b)(a-2)
The table shows information about the masses of some dogs.
Work out the minimum number of dogs that could have a mass of
more than 27 kg.
Work out the maximum number of dogs that could have a mass of
more than 27 kg.
a) The minimum number of dogs that could have a mass of more than 27 kg is 4.
b) The maximum number of dogs that could have a mass of more than 27 kg is 17.
What is interval?
In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number one may imagine is a real number.
The given table shows information about the masses of some dogs.
a) As, the minimum number of dogs is needed to be found, then -
Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the minimum value out of 13 and 4 is 4.
b) As, the maximum number of dogs is needed to be found, then -
Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17.
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whats the answer? please help!
Answer:
Step-by-step explanation:
we konw the speed of burn is 1.25 inchs per hour. so, the left candle is
15-1.25t. the answer is L=15-1.25t
Lololol helpppo plssss
Answer:
-50
Step-by-step explanation:
7 - (7 * 11 - 1) ÷ 2 - (5)² + 6
7 - (77 - 1) ÷ 2 - 25 + 6
7 - (76) ÷ 2 - 25 + 6
7 - 38 - 25 + 6
-31 - 19
-50
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
B. [tex] - 50[/tex] ✅
Step-by-step explanation:
[tex]7 - \frac{7 \times 11 - 1}{2} - ({5})^{2} + 6 \\ = 7 - \frac{77 - 1}{2} - 25 + 6 \\ = 13 - 25 - \frac{76}{2} \\ = - 12 - 38 \\ = - 50[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Pleaseeee help
Given that one standard deviation below the mean is 24 and one standard deviation above the
mean is 31, what is the Mean?
A)55
B)34
C)27.5
D)28
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7
we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5
using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.5
31-3.5 = 27.5
since both calculated numbers were equal, we know that we calculated the mean correctly.