Answer: edgen
B 2=(1+0.065/12)^12t
Step-by-step explanation:
To the nearest year, it will take about 10.7 years to double the original investment.
How to solbve for the period it would takeIn this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.
[tex]2000 = 1000(1 + 0.065/12)^{12t}[/tex]
[tex]2 = (1 + 0.065/12)^{12t}[/tex]
ln(2) = 12t * ln(1 + 0.065/12)
t = ln(2) / (12 * ln(1 + 0.065/12))
t ≈ 10.7
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please please helpp i will mark brainliest!!! 100 points !! ill mark brainliest if its correct.
Answers and Step-by-step explanations:
1. We need to plug in values of x into the functions f(x) and g(x):
f(2) = 2.5 * 2 - 10.5 = -5.5 g(2) = [tex]64 * (0.5^2)[/tex] = 16
f(3) = 2.5 * 3 - 10.5 = -3 g(3) = [tex]64 * (0.5^3)[/tex] = 8
f(4) = 2.5 * 4 - 10.5 = -0.5 g(4) = [tex]64 * (0.5^4)[/tex] = 4
f(5) = 2.5 * 5 - 10.5 = 2 g(5) = [tex]64 * (0.5^5)[/tex] = 2
f(6) = 2.5 * 6 - 10.5 = 4.5 g(6) = [tex]64 * (0.5^6)[/tex] = 1
2.
(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.
(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.
3.
(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).
(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.
(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.
Answer:
Page 1:
f(2) = -5.5
f(3) = -3
f(4) = -0.5
f(5) = 2
f(6) = 4.5
Notice the values are increasing by 2.5
g(2) = 16
g(3) = 8
g(4) = 4
g(5) = 2
g(6) = 1
Notice the values are getting divide by half
Page 2:
A:
At 14 years, the revenue for online ads are a little over 4 million dollars. However, for printed ads, the revenue is only about 1.5 million dollars. If you double 1.5 million, you will only get 3 million. That is less than 4 million. So, the lead marketing executive was correct.
B:
The approximate year that the two revenues were equal was approximately 7 and a half (or 7.5).
Page 3:
A:
For the Western Beach, the width is decreasing by exactly 2 feet per year. For the Dunes Beach, the width is increasing by exactly 5 feet per year.
B:
The beaches will have the same width somewhere between years 11 and 12.
C:
A good way to get an even better approximation on when these beaches will have the same width, is to write them in slope-intercept form. The Western Beach equation will look like f(x) = -2x + 100 and the Dunes Beach equation will look like g(x) = 5x + 20.
A car travels at a steady speed of 10 m/s what distance is covered in one minute
Answer:600
Step-by-step explanation:
There are 60 seconds in one minute so you would need to multiply 60 by 10
A car traveling at a steady speed of 10 m/s will cover a distance of 600 meters in one minute.
Explanation:The distance covered by a car moving at a steady speed can be calculated from the simple physics formula for speed: speed = distance/time. In this case, the speed of the car is given as 10 m/s, and the time is given as 1 minute. However, time needs to be in the same units as the speed, so we need to convert minutes to seconds. As one minute is equal to 60 seconds, we can use this conversion. Now, to solve for distance, we rearrange the equation to look like: distance = speed * time. Substituting the given speed and time, we get: distance = 10 m/s * 60 s = 600 m. Therefore, a car traveling at a steady speed of 10 m/s will cover a distance of 600 meters in one minute.
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Answer:
A) Yes, if the diagonals of a quadrilateral bisect each other then the quadrilateral is a
Parallelogram
B) Yes if both pairs of opposite sides of a quadrilateral are congruent
C) Yes, if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram
D) Not enough information is given
D. Not enough info
Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.
For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.
Answer:
D) Not enough information is given
Step-by-step explanation:
For it to be a parallelogram, MN and PQ should be equal in length.
Angles P and M should be equal
Angles N and Q should be equal.
But no such information is provided
Which values complete the function?
f(x) = (x – )(x + )
Answer:
You need to add the Y to the equation to make it complete.
Answer:
f(x) =-1 (x –3 )(x +4 )
Step-by-step explanation:
bc yes
Question 12: Please help. Line segment BA⎯⎯⎯⎯⎯⎯⎯ has endpoints B(−6,3) and A(−1,8).
What are the coordinates of the point located 15 of the way from B to A?
Answer:
The answer is (-5,4).
Is (0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis a solution of -10x +4y \geq -4−10x+4y≥−4minus, 10, x, plus, 4, y, is greater than or equal to, minus, 4 ?
Answer:
yes
Step-by-step explanation:
i think so, im very sorry if its wrong
Answer:
Yes
Step-by-step explanation:
Which do the following most specifically describes a rhombus?? A.a plane figure that is a polygon. B.a quadrilateral with 2 pairs of equal length. D. A polygon with four sides
Answer:
B. A quadrilateral with 2 pairs of equal length
Step-by-step explanation:
analyzing the options:
A. A polygon is a very general definition (polygon is a figure with 3 or more sides) so it does not specifically describe a rhombus.B. This option is much more specific to a rhombus than the other two options because it mentions that it is a quadrilateral so it reduces the generality of calling it a polygon, and it also mentions that there are 2 pairs of equal sides which is true for the rhombus (the top and bottom sides are equal, and the sides are also equal). So this option is correct.C. It is a little more specific than option A because it mentions that you must have 4 sides, but it is not as specific for the rhombus as option BAnswer:
B.a quadrilateral with 2 pairs of equal length
Step-by-step explanation:
A rhombus is a quadrilateral with 4 equal sides in length. A quadrilateral is a closed figure or shape with 4 sides . Other quadrilaterals are parallelograms, square and rectangle .
Opposite sides of a rhombus are parallel and opposite angles are equal. The diagonals meet at the center to form a right angle. The best description of a rhombus among the option is that it is a quadrilateral with 2 pairs of equal length.
Note polygon is too broad to be used to describe a rhombus .Moreover rhombus is not a regular polygon since all the angles are not equal.
Two hoses of different sizes are used to fill a pool. The smaller hose can fill the pool in 1.5 times as long as the larger hose. If both hoses
are used it takes 9 hours to fill the pool. If only the larger hose is used, how many hours will it take to fill the pool?
Answer:
15
Step-by-step explanation:
Let x represent the number of hours it takes the larger hose to fill the pool. Then each hour, it contributes 1/x of the pool volume. Similarly, the other hose contributes a volume of 1/(1.5x) each hour.
The two hoses together contribute a volume of 1/9 of the pool volume each hour:
1/x +1/(1.5x) = 1/9
2.5/(1.5x) = 1/9 . . . . combine the fractions
22.5/1.5 = x . . . . . . multiply by 9x
15 = x
It takes the larger hose 15 hours to fill the pool alone.
A restaurant manager collected less than $196 in tips one evening. If he splits the tip money among 7 employees, which inequality could be used to find how much each employee received?
Answer: 196 less than or equal to 7
Step-by-step explanation:
Simplify.
V18
What is this simplify
Answer:
v To the power of 18
Step-by-step explanation:
N A
Answer:
v to the power of 18
Step-by-step explanation:
I need help please?!!!!
Answer: The answer would be .03 or A.
Step-by-step explanation: You add all of the marbles up to get a total of 10 then you divide 10 by 3 and you get 3.333333333 but then you just take off the 3 before the decimal. DONT USE THIS ON ANY OTHER EQUATIONS!!! This only happens to work with this equation!!!
The rectangle below has an area of 81-x^2 square meters and a width of 9-x meters. What expression represents the length of the rectangle?
For this case we have that by definition, the area of a rectangle is given by:
[tex]A = w * l[/tex]
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
According to the data of the statement we have:
[tex]A = 81-x ^ 2\\w = 9-x[/tex]
So, the length is given by:
[tex]l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}[/tex]
We factor the numerator:
[tex]l = \frac {(9 + x) (9-x)} {9-x}[/tex]
We simplify:
[tex]l = 9 + x[/tex]
So, the length is [tex]9 + x[/tex]
Answer:
[tex]9 + x[/tex]
Meghan used her cell phone for 45 minutes each day for n days. Her
total minutes of cell phone usage was 540 minutes. Which equation expresses
how many days Meghan used her cell phone? *
O45 - n = 540
O 45 + n = 540
O 45 + n = 540
O 45n = 540
Hello,
This question is very easy. :) If she use phone everyday at 45 minutes, x days => 45x use.
Later x day, She use 540 minutes.
be 45x=540
x,
540/45 = 12
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Good lessons!
Final answer:
The correct equation that expresses how many days Meghan used her cell phone is 45n = 540. By dividing both sides by 45, we find that n = 12, indicating she used her cell phone for 12 days.
Explanation:
The question is asking to find the equation that represents the number of days Meghan used her cell phone, given that she used it for 45 minutes each day and the total usage was 540 minutes. To solve this, you would set up an equation where the number of days (n) times the daily usage (45 minutes) equals the total usage (540 minutes).
Therefore, the correct equation would be 45n = 540.
To find out how many days she used her cell phone, you would divide both sides of the equation by 45:
45n / 45 = 540 / 45
n = 12
This means Meghan used her cell phone for 12 days.
Jim needs to spend less than $450 a month on groceries and shopping. He has already spent $215 this month. What are all possible amounts of money Jim could spend the next time that he buys groceries or goes shopping this month? Create an inequality and a graph that represents this scenario
Answer:
200 to 234$ depending on how much less than 450
Step-by-step explanation:
450-215=235
Pedro has 9 coins. His friend John gives him 9 more coins. Pedro decides to share his coins evenly with his two brothers. Which expression shows how many coins each brother will get
Answer:
6 if pedro and his two brother will have coins. If he doesnt get any for himself and gives it all to his brothers then they each get 9.
Step-by-step explanation:
I used my calculator.
A sphere has a diameter of 10 ft. What is the surface area
Answer:
314.15926 square feet
Step-by-step explanation:
Formula for sphere surface area = 4*π r^2
radius = (1/2)*diameter = (1/2)* 10 feet = 5 feet
Area = 4* π*(5)^2 = 100π = 314.15926 square feet
Final answer:
The surface area of a sphere with a diameter of 10 ft is 100π square feet, or approximately 314.16 square feet.
Explanation:
The surface area of a sphere can be calculated using the formula 4πr², where r is the radius of the sphere. Given that the diameter of the sphere is 10 ft, the radius is half of that, which is 5 ft. Plugging the radius into the formula, we get the surface area as 4π(5 ft)² = 4π x 25 ft² = 100π ft². Therefore, the surface area of the sphere with a diameter of 10 ft is 100π square feet, which is approximately 314.16 square feet when π is approximated to 3.1416.
If f(x) = -x^2 – 1, and
g(x) = x + 5, then
g(f (x)) = -x^2+[ ?]x + [ ?]
By substituting the expression for f(x) into g(x), g(f(x)) simplifies to -x^2 + 4. The coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).
To find g(f(x)), substitute the expression for f(x) into g(x):
g(f(x)) = g(-x^2 - 1)
Now, replace x in g(x) with -x^2 - 1:
g(f(x)) = (-x^2 - 1) + 5
Combine like terms:
g(f(x)) = -x^2 + 4
So, the given expression g(f(x)) = -x^2 + 4. The coefficient of x^2 remains -1 from f(x), and the constant term changes from -1 to +4 after adding 5 in the expression g(x).
Here g(f(x)) simplifies to -x^2 + 4, where the coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).
"Lashonda swam 4 kilometers against the current in the same amount of time it took her to swim 16 kilometers with the current. The rate of the current was 3 kilometers per hour. How fast would Lashonda swim if there were no current?"
Answer:
5 km/h
Step-by-step explanation:
In this problem, Lashonda swam 4 km against the current. So the distance covered in this case is
[tex]d_1=4 km[/tex]
Calling [tex]v[/tex] the velocity of Lahonda without the current, and [tex]c[/tex] the velocity of the current, in this situation Lahonda's velocity is
[tex]v-c[/tex]
So we can write:
[tex]t_1=\frac{d_1}{v-c}[/tex]
where [tex]t_1[/tex] is the time taken to cover the distance.
When Lashonda swims with the current, her velocity is
[tex]v+c[/tex]
So we can write
[tex]t_2=\frac{d_2}{v+c}[/tex]
where
[tex]d_2=16 km[/tex] is the distance covered in this case, and [tex]t_2[/tex] the time taken.
The velocity of the current is
[tex]c=3 km/h[/tex]
Since Lashonad takes the same time to cover the two distances,
[tex]t_1=t_2[/tex]
So we can write
[tex]\frac{d_1}{v-c}=\frac{d_2}{v+c}[/tex]
And solving for v, we find Lashonda's velocity without the current:
[tex]d_1(v+c)=d_2(v-c)\\d_1 v+d_1c = d_2v-d_2c\\v(d_2-d_1)=c(d_1+d_2)\\v=\frac{d_2+d_2}{d_2-d_1}c=\frac{16+4}{16-4}(3)=5 km/h[/tex]
Final answer:
To find Lashonda's swimming speed without the current given the rate of the current and the distances swam with and against it.
Explanation:
The rate of the current is 3 kilometers per hour. To find the speed of Lashonda without the current, we can set up equations using the formula: speed = distance/time.
Let's denote Lashonda's speed in still water as x kilometers per hour. When swimming against the current, her effective speed is x - 3 km/h, and when swimming with the current, her effective speed is x + 3 km/h.
By setting up and solving the equations, we find Lashonda's speed without the current is 9 kilometers per hour.
Which point is the center of the circle defined by the equation 2+(−9)2=81 x 2 + ( y − 9 ) 2 = 81 2+(−9)2=81 x 2 + ( y − 9 ) 2 = 81 Group of answer choices (0, -9) (-9, 0) (0, 9) (9, 0)
Answer:
(0, 9)
Step-by-step explanation:
The circle defined by the equation ...
(x -h)^2 +(y -k)^2 = r^2
has its center at (h, k).
We think your circle's equation is ...
x^2 + ( y − 9 )^2 = 81
so it would have its center where h = 0 and k = 9.
The center is (0, 9).
_____
Comment on the question
Sometimes, copying and pasting seems to cause things to be repeated 3 times, usually in different formats. It would be nice to have one clean copy of the equation, so we can easily tell what it is supposed to be. Editing may be required, to make sure all necessary math symbols are included.
Answer:
the whitebord is cool
Step-by-step explanation:
fun cool! 1234567890
Which figure shows a line tangent to the circle?
A circle is shown. A line with length 3 is drawn from the middle point to a point on the circle. A line with length 6 is drawn from that point to a point outside of the circle. Another line with length 9 is drawn from that point to the middle point to form a triangle.
A circle is shown. A line with length 5 is drawn from the middle point to a point on the circle. A line with length 5 is drawn from that point to a point outside of the circle. Another line with length 10 is drawn from that point to the middle point to form a triangle.
A circle is shown. A line with length 3 is drawn from the middle point to a point on the circle. A line with length 4 is drawn from that point to a point outside of the circle. Another line with length 5 is drawn from that point to the middle point to form a triangle.
Answer:
Option C : the midpoint of the segment
Step-by-step explanation:
1.Draw a Circle of any radius.
2.Take a point outside on the circle.
3.Draw a line segment Joining center to the point lying outside.
4.Draw the perpendicular bisector of that line segment.
5.Keep one end of the compass on the midpoint of the line segment, and other end of the compass on the center or other end of line segment,and draw a circle.
6.The points where this circle,cuts the circle drawn in the beginning,are the points,from where you can draw tangents which will intersect at the point which lies outside that we have taken in the beginning.
Option C : the midpoint of the segment
Answer:
third one
Step-by-step explanation:
Use the circle to answer the questions.
The diameter is___ cm?
The circumference in terms of pie is ___pie cm.
Using 3.14 for pie, the approximate circumference of the circle is___cm?
Answer:
10.8; 10.8; 33.912
Step-by-step explanation:
Diameter = 2 × 5.4
10.8 cm
Circumference = pi × d
10.8pi cm
10.8 × 3.14
33.912
Answer:
The diameter is 14 mm the circumference in terms of Pi is
14 and the last question answer is 44.0 mm
Step-by-step explanation:
What steps should be taken to calculate the volume of the prism? Select three options.
A rectangular prism with a length of 9 and one-half feet, width of 24 feet, and height of 6 feet.
A) Use the formula A = one-half b h to find the area of the base.
B) Use the formula A = b h to find the area of the base.
C) Use the formula V = B h to find the volume of the prism.
D) The volume of the prism, V is (114) (6) = 684 feet cubed. The volume of the prism, V is (228) (6) = 1,368 feet cubed.
Answer:
B, C, E
B- Use the formula A = b h to find the area of the base.
C- Use the formula V = B h to find the volume of the prism.
E- The volume of the prism, V is (228) (6) = 1,368 feet cubed.
Step-by-step explanation:
Just did it on edge 2020 i hope it helps :)
A rectangular prism with a length of 9 and one-half feet, the width of 24 feet, and a height of 6 feet. The steps should be taken to calculate the volume of the prism; B, C, E.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A rectangular prism with a length of 9 and one-half feet, the width of 24 feet, and a height of 6 feet.
The steps should be taken to calculate the volume of the prism;
B- Use the formula A = b h to find the area of the base.
C- Use the formula V = B h to find the volume of the prism.
E- The volume of the prism,
V = (228) (6)
= 1,368 feet cubed.
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I NEED HELP WITH MY MATHS HOMEWORK PLEASE!!
USE THE ATTACHED IMAGE BELOW TO HELP ME WORK OUT
B)
Answer:
What is your exact question?
Step-by-step explanation:
Explanation:
The notation [tex]A \cap B[/tex] means "the overlapped region between circles A and B". There is only one value in this region, and it is the "8". This is in the lower half of this region as the upper half is empty.
There are 12 values in the set {2,4,6,8,10,12,14,16,18,20,24} which we can see by counting them out, or we can note how 24 = 2*12 and how we started with 2 = 2*1. So basically we have...
2 = 2*14 = 2*26 = 2*38 = 2*410 = 2*512 = 2*614 = 2*716 = 2*818 = 2*920 = 2*1022 = 2*1124 = 2*12So again we have 1 value in the overlapped region between A and B, out of 12 values total. So that's why the answer is 1/12.
When Cam’s baby brother started drinking this bottle held 270 millimeters of milk how much did the baby drink
I WILL MARK U BRAINLIEST
Which statement is true about segment AB?
Answer:
First statement is correct
Step-by-step explanation:
Segment AB is tangent to the circle C because [tex] 3^2 +4^2 =5^2 [/tex]
A 92.0 kg football player at 6.50 m/s North collides with an 85.0 kg football player running at 6.00 m/s south. The 92.0 kg football player continues moving at a velocity of 2.00 m/s after the collision. What is the velocity of the 85.0 kg football player after the collision?
Answer:
-1.13 m/s
Step-by-step explanation:
Parameters given:
Mass of first footballer, M = 92 kg
Initial velocity of first footballer, U = 6.5 m/s (taking North to be the +ve y axis)
Mass of second footballer, m = 85 kg
Initial velocity of second footballer, u = -6.0 m/s (taking South to be the -ve y axis)
Final velocity of first footballer, V = 2.0 m/s
We need to find the final velocity of the second football (v)
Applying the principle of conservation of momentum, we have that, in a system:
Total Initial Momentum = Total Final Momentum
(M * U) + (m * u) = (M * V) + (m * v)
(92 * 6.5) + (85 * -6) = (92 * 2) + (85 * v)
598 - 510 = 184 + 85v
88 = 184 + 85v
88 - 184 = 85v
-96 = 85v
=> v = -96 / 85
v = -1.13 m/s
The final velocity of the 85 kg player is -1.13 m/s i.e 1.13 m/s South
Final answer:
To find the unknown velocity of the 85.0 kg football player after the collision, we use the conservation of momentum, setting up an equation based on the initial and final momenta of both players and solving for the unknown velocity.
Explanation:
The question concerns the topic of conservation of momentum during a collision between two football players, which falls under the category of Physics. To solve for the velocity of the 85.0 kg football player after the collision, we can use the principle that the total momentum before the collision is equal to the total momentum after the collision in an isolated system.
The total momentum before the collision can be calculated as follows:
Momentum of the 92.0 kg player = mass × velocity = 92.0 kg × 6.50 m/s (North).
Momentum of the 85.0 kg player = mass × velocity = 85.0 kg × 6.00 m/s (South).
Since they are moving in opposite directions, we assign a positive direction (e.g., north) as positive momentum and the opposite direction (south) as negative momentum.
The total momentum after the collision consists of:
Momentum of the 92.0 kg player = 92.0 kg × 2.00 m/s (North).
Momentum of the 85.0 kg player = 85.0 kg × v (where v is the unknown velocity).
By applying the conservation of momentum, we can write the equation:
(92.0 kg × 6.50 m/s) + (85.0 kg × -6.00 m/s) = (92.0 kg × 2.00 m/s) + (85.0 kg × v).
Solving for v gives:
v = [(92.0 kg × 6.50 m/s) - (92.0 kg × 2.00 m/s) - (85.0 kg × -6.00 m/s)] / 85.0 kg.
Calculate the value to find the final velocity of the 85.0 kg player.
v = 10.87 m/s
A hiker travels 3 km due east then 2 km on a bearing of 110°. Find: a) how far south the hiker is from the starting point Hint: construct a right angle triangle b) how far east the hiker is from the starting point c) The bearing from the starting point to the finishing point
Answer:
A) 0.47 km
B) 4.88 km
C) 6.25°
Step-by-step explanation:
Please refer to the attached image for explanations
Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams (\text{g})(g)left parenthesis, start text, g, end text, right parenthesis of cheese. How much cheese did the recipe require?
Answer:
The recipe required 50 grams of cheese
Step-by-step explanation:
Here in the question, we are made to know that she increased all ingredients by 60%.
Now we want to know the original mass of the cheese if she used 80grams after the 60% increment.
Mathematically, the formula for percentage increase is;
% increase = increment/old value * 100%
Where increment is new value - old value
since we do not know the old value, we can say that it is x. This means that the increment is 80-x
Hence;
60= (80-x)/x * 100
60x = 100(80-x)
60x = 8000-100x
100x + 60x = 8000
160x = 8000
x = 8000/160
x = 50g
the shape of the cylinder
= 1131.0 cm
Which cylinder has the greatest volume?
O a cylinder with a height of 9 cm and a radius of 9
cm
a cylinder with a height of 12 cm and a radius of 6
cm
a cylinder with a height of 6 cm and a radius of 12
cm
a cylinder with a height of 15 cm and a radius of 3
cm
60 cm
In an arcade, 12 tickets are awarded for every game won. Which table represents this relationship?
Answer:
B
Step-by-step explanation:
i hate edgunity too
Answer: b
Step-by-step explanation: