Answer:
x (distance) = 10, max height = .75
Step-by-step explanation:
y=-.03x(x-10)
The distance are the x intercepts: 0 and 10, where 0 is time started and 10 is time ended.
Expand the equation:
y=-.03x^2 +.3x
To find max height you find the vertex
x = -b/2a
x = -.3/-.06 = 5
Plug the x into the equation
y=.-03(5)^2 +.3(5)
y=.75
What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?
Answer:
4.53%
Step-by-step explanation:
We are told that:
From the question, we have a 6.5 % coupon
Hence = 6.5 × $10
= $65
Price of the bond one year later = $1,037.19
$1,054.47 - $1,037.19
= $17.28
Rate of Return
= ($65.00 - $17.28)/$1,054.47
47.72 ÷ 1054.47 = 0.045254962
0.045254962 × 100 =
4.5254962 %
Approximately = 4.53%
Help me ASAP major grade
Answer:
$5.58
Step-by-step explanation:
Because divide 12 by 67:
67 ÷ 12 = 5.58
5.58 is the answer
Hope this helped! Pls Brainliest!
Answer:
$5.58
Step-by-step explanation:
$67.00÷12=$5.58
Hope this helps!
On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.
A 0.3 second
B 0.6 second
C 1.6 seconds
D 3.2 seconds
Answer:
The correction is D
Step-by-step explanation:
From the question we are told that
The maximum height is [tex]h_m = 18 ft[/tex]
The minimum height is [tex]h_i = 4 ft[/tex]
The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds
Now at maximum height
[tex]18 = - 14 sin(x) + 18[/tex]
=> [tex]-14 sin(x) =0[/tex]
=> [tex]sin(x) =0[/tex]
=> [tex]x =sin^{-1}[0][/tex]
=> [tex]x =0 \ s[/tex]
Now at minimum height
[tex]4 = -14 sin(x) + 18[/tex]
=> [tex]-14 = -14 sin(x)[/tex]
=> [tex]sin (x) = 1[/tex]
=> [tex](x) = sin^{-1}[1][/tex]
=> [tex]x = 1.6 \ s[/tex]
Now this values is the time taken to move from the higher position of the blade to the lower position of the blade
Now it will take this same amount of time to complete the circle
So the total time take is
[tex]x_t = 2 * |x|[/tex]
=> [tex]x_t = 2 * 1.6[/tex]
=> [tex]x_t = 3.2 \ s[/tex]
What does 3(4) mean?
Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges [tex]= 10+12t[/tex]
For Tami's Toning,
Total charges [tex]=14t[/tex]
Now solve [tex]10+12t=14t[/tex]
[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]
So, total cost of membership will be the same for both gyms after 5 months.
this is not a question but if you're reading this you are amazing this website gives me hope in humanity knowing were all helping each other out when life gets tricky you taking you time outta your day to read this is helping me so if you're reading this your beautiful and love and don't let anyone tell you otherwise
Answer:
brainliest???
add me on snap: bella.exwo
and insta: nbsbellaaaaaa
there are 6 a's in it ^
aweee thank youu
i hope you have an amazing day and much love!!!! mwah
Find the perimeter and area of the figure
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answer:
83 points.
Step-by-step explanation:
Some helppppp!!!!! I’m having trouble
writing equations of lines
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5
Describe what you know about the angles of a triangle
Answer:
Similarity is it is beautiful like your mom
Step-by-step explanation:
All 3 angles of the triangle added up will be equal to 180 degrees.
Hope this helps, brainliest pls!
What is the quotient? −678÷(−334)
Answer:
2.03
Step-by-step explanation:
-20/5= ???????
PLZ HELP
Answer:
-4
Step-by-step explanation:
To produce an
enlarged or reduced
measure you
the
scale.
Answer: multiply
Step-by-step explanation:
Write the slope-intercept form of the equation of the line.
-4 - y = -2x
A) y = 4x + 2
C) y = 2x - 4
B) y = -4x + 2
D) y = -2x + 2
Answer:
c
Step-by-step explanation:
-4 -y = -2x
+4 +4
-y = -2x + 4
multiple everything by -1 to get y by itself
y = 2x - 4
Use a proportion to find the number of meters in 9 feet. Round to the nearest tenth.
3xsquared +13x-10
HELPP PLEASE
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
Mrs.Burkett has hauled 4 1/4 ton of gravel for a quarry jobsite. If she were to haul 6 5/8 tons more, then how much total gravel would she have been hauled at the jobsite?
Answer:
[tex]10\frac{7}{8}[/tex]
Step-by-step explanation:
You simply add the fractions up!
First thing is that [tex]\frac{1}{4} = \frac{2}{8}[/tex] So we can write the fractions as:
[tex]4\frac{2}{8} + 6\frac{5}{8}=4+6\frac{2+5}{8}=10\frac{7}{8}[/tex] tons of gravel was hauled.
Answer:
7 7/8 ton of gravel
Step-by-step explanation:
Its pretty easy actually. All you need to do is add 4 1/4 and 6 5/8.
Let's simplify it and then make a common denominator! (It is 8)
5 x 2 = 10
4 x 2 = 8
Then add:
10 x 53 = 64
8 8 8
Then simplify! And you get
7 7/8
Hope this helped! :)
Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?
Answer:
3/10 of the renaming full pizza has pepperoni
Step-by-step explanation:
Here, we want to calculate how much of the remaining pizza had pepperoni.
From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni
she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni
The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10
This means that 3/10 of the remaining full pizza has pepperoni
Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.
100 m Dash Finish Time Comparison
Runner
Second practice time compared to first practice time
Joshua
+1.03
Kedwin
–0.97
Leila
–0.95
Miguel
+1.1
Nicole
–0.87
Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its D i took test 2020 edge
Please help me with this.
Answer:
y = (-1/2)x + 4
Step-by-step explanation:
Slope (m): (-1/2)
down one, right two
y-intercept (b): 4
y = mx + b
The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]
To find the slope, you must put the 2 points into the slope equation.
[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]
And to find the y-intercept, you must find where the line crosses the y-axis.
(0,4)
4 ( -x + 4 ) = 12
what is the value of x
Answer:
X=1
Step-by-step explanation:
Answer:
X = 1
Step-by-step explanation:
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
The ratio between earths actual diameter and it’s scaled diameter can be used to find the scaled diameter of the other planets. Earths diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table. Now let’s find the scaled diameter of Mars as an example. Using the calculations shown, Mars diameter of 6,792 would be scaled to 1.9 centimeters. Use this same process to complete the table with the scaled diameters of the other planets. Round each answer to the tenths place.
Answer:
Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6
Step-by-step explanation:
The scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
Given,
The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.
Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.
Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.
Use this same process to complete the table with the scaled diameters of the other planets.
Round each answer to the tenths place.
What does it mean to be in proportion?If two given ratios are equal we say that the ratios are in proportion.
Example:
1/2 and 4/8 are in proportion.
- 1/2
- 4/8 = 1/2
We have,
Earths diameter = 12,756 km
It is scaled to 3.5 cm
The ratio is:
= 12,756 km /3.5 cm
Since each planet is in proportion with each planet.
We have,
Let the scaled diameter be d.
- Mercury d
12,756 / 3.5 = 4879 / d
d = (4879 x 3.5) / 12756
d = 1.3 cm
- Venus d
12,756 / 3.5 = 12104 / d
d = (12104 x 3.5) / 12756
d = 3.3 cm
- Jupiter d
12,756 / 3.5 = 142984 / d
d = (142984 x 3.5) / 12756
d = 39.2 cm
- Saturn d
12,756 / 3.5 = 120,536 / d
d = (120536. x3.5) / 12756
d = 33.1 cm
- Uranus d
12,756 / 3.5 = 51118 / d
d = (51118 x 3.5) / 12756
d = 14 cm
- Neptune d
12,756 / 3.5 = 49, 528 / d
d = (49528 x 3.5) / 12756
d = 13.6 cm
Thus the scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
Learn more about ratios in proportion here:
https://brainly.com/question/26974513
#SPJ2
multiple choice answer pls find the correct
Answer:
b 29
Step-by-step explanation:
because the angle b and c are the same so both are 100 and that means both angles d and e are the same so add those to angles together get 151
a triangle is equal to 180 so subtract the number 151 from 180 to get your answer then your answer will be 29
Answer:
b
Step-by-step explanation:
180=100 +51 + 29
5(x + 4) = 5x + 20 is an example of which property?
Answer:
Distributive Property
Step-by-step explanation:
First you would solve the left side of the equation. For this you would use the distrubutive property.
5x + 20 = 5x + 20
So the answer is the distributive property.
Hope this helped!!!
What is the quotient of -32/8?
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
10. Find the parallel slope: (-2.9) and (1.-3).
5 1/10 divided by 1 1/5
Answer:
4.25
Step-by-step explanation:
(8x^4-64x^3+3x-28) / (X-8)
Answer:
[tex]8x^{3}+3-\frac{4}{x-8}[/tex]
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.