Answer:
Point to point indexed annuity.
Step-by-step explanation:
An indexed annuity is linked to specific index performance. Point to point indexed annuity is the one which gives interest on the basis of index percentage change. The interest credit is calculated by taking the percentage change between the beginning and end points of the index.
Gretta created some figures that she calls reebs What attribute do these reebs have in common?
Answer:
Reebs have 1 right angle
Step-by-step explanation:
Look at all the reebs. They all have 1 right angle!
Answer:
C
Step-by-step explanation:
Which graph shows the line y- 1 = 2(x + 2)?
Answer:
Graph C
Step-by-step explanation:
The slope is 2 and to find the numbers in the equation are actually the opposite of what they appear, making the point (-2,1).
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6
Answer:
this question is roung
Pam is measuring the distance of her journey to school. The distance from her house to the bus stop is 320m, then the bus journey is 2.85km. This is how she works out the distance. Fill in the gaps...
Answer with step by step explanation
[tex]320m \div 1000 = 0.32km \\ [/tex]
[tex]total \: \: \: distance \\ = 0.32km + 2.85km \\ = 3.17km[/tex]
hope this helps you.
find the smallest square number that is divisible by each of the number 8,12,18 and 30
Answer:
3600.
Step-by-step explanation:
8 = 2*2*2
12= 2*3
18= 2*3*3
30 = 2*3*5
The lowest common multiple of the these is
2 * 2 * 2 * 3*3* 5 = 360.
So the smallest square number = 2*2*2*2*3*3*5*5
(We make all the sets of factors a square).
So it's 16 * 9 * 25 = 3600.
Answer:
3600
Step-by-step explanation:
A student walk 60m on a bearing of 028 degree and then 180m due east. How is she from her starting point, correct to the nearest whole number?
Answer: she is 215m from her starting point
Step-by-step explanation:
The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.
Angle B = 28 + 90 = 118°
To determine AC, we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes
AC² = AB² + BC² - 2(AB × BC)CosAC
AC² = 60² + 180² - 2(60 × 180)Cos118
AC² = 3600 + 32400 - 21600Cos118
AC² = 36000 - 21600(-0.46947156)
AC² = 36000 + 10140.59
AC² = 46140.59
AC = √46140.59
AC = 215 m
please help... What is the solution of this equation -2x=-16
Answer:
8
Step-by-step explanation:
Divide -2 by both sides of the equation to isolate the variable x
-2x/-2 = -16/-2
x = 8
8 is the solution
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Answer:
Yes, because both figures are rectangles and all rectangles are similar (B)
Question:
The complete question related to this found at brainly (question Id: 2996738) is stated below:
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4
b. Yes, because both figures are rectangles and all rectangles are similar.
c. No, because the center of dilation is not at (0, 0).
d. No, because corresponding sides have different slopes
Step-by-step explanation:
Coordinates of rectangle EFGH
E (-4,4), F(4,4), G(-4,0), H (4,0)
EF = 8
FG =4
GH= 8
HE= 4
Coordinates of rectangle ABCD
A (-3,3), B(3,3), C(-3,0), D (3,0)
AB = 6
BC = 3
CD = 6
DA = 3
Find attached the diagram.
Image = EFGH, pre-image = ABCD
Scale factor = (sides of the image)/(sides of the pre-image)
= 8/6 = 4/3
Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.
Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.
Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)
help plz i need help
Hey there here is ur answer!
0.24 in percent = 24%
Well all u gotta do is multiply 0.24 or any other decimal number with 100 to represent it in percent.
HOPE IT MAKES UR DAY BRIGHTER!!
A glass is 2/3 full. Then 40cm3 of orange juice is poured in. The glass is now 4/5 full. What is the total volume of the glass?
Answer:
300 cm³
Step-by-step explanation:
Volume of the glass filled with orange juice:
4/5-2/3= 12/15-10/15= 2/15
2/15 of glass = 40 cm³
Total volume of the glass:
40 cm³ ÷ 2/15= 40 cm³ × 15/2= 300 cm³
The ratio of the same side interior angles of two parallel lines is 33:3. Find the measures of all eight angles formed by the parallel lines and transversal.
9514 1404 393
Answer:
all 4 acute angles: 15 degrees
all 4 obtuse angles: 165 degrees
Step-by-step explanation:
The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.
All four acute angles are 15°; all four obtuse angles are 165°.
In a math quiz, positive marks were given for correct answers and negative marks are given for incorrect answers. If Ankita's scores in five successive rounds were 30, -10, -12, -15 and 20 then find her total score at the end of the quiz.
Answer:
Her final score is 13
Step-by-step explanation:
To find the total score, we would add them all:
=> 30+(-10)+(-12)+(-15)+20
=> 30-10-12-15+20
=> 20-12-15+20
=> 8-15+20
=> -7+20
=> 13
Answer:13
Step-by-step explanation:
Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a profit of 30% on each laptop and 10 of these laptops at a profit of 15% on each laptop. Bill's target last month was to sell all 50 laptops for a total of at least £25 000. Did Bill reach this target?
Answer:
Yes, in fact Bill exceeded his target by £2,200.
Step-by-step explanation:
Cost of the laptops = 50 x 400
= 20,000
Sold 40 at 30% profit
(40 x 400) x 1.30
= 20,800
Sold 10 at 15% profit
(15 x 400) x 1.15
= 6900
Total sales value
= 20800 + 6900 = 27,700
Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.
What are the different aspects of buying and selling goods?Cost Price(C.P.): Price at which the good is bought.Selling Price(S.P.): Price at which the good is sold.Profit: When S.P. > C.P., profit takes place. Profit = S.P. - C.P.Loss: When C.P. > S.P., loss takes place. Loss = C.P. - S.P.Note: Profit and loss are always calculated on C.P.
How do we solve the given question?Bill buys 50 laptops for £400 each.
∴ His C.P. of each laptop = £400.
He sells them in two parts,
Part 1:
He sells 40 laptops at 30% profit on each laptop.
∴ Profit on each laptop = 30% of C.P. = 30% of £400 = £(0.3*400) = £120
∴ S.P. of each laptop = C.P. + Profit = £400 + £120 = £520
Total sales 1 = Number of laptops * S.P. of each = 40*£520 = £20,800.
Part 2:
He sells 10 laptops at 15% profit on each laptop.
∴ Profit on each laptop = 15% of C.P. = 15% of £400 = £(0.15*400) = £60
∴ S.P. of each laptop = C.P. + Profit = £400 + £60 = £460
Total sales 2 = Number of laptops * S.P. of each = 10*£460 = £4,600.
Bill's total sales after both parts = Total sales 1 + Total sales 2
or, Bill's sales = £20,800 + £4,600 = £25,400.
Since Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.
Learn more about the different aspects of buying and selling goods at
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If point OR=20 and point PR=5, what is OP(geometry)? please show work
Answer:
The length of OP is 25.
Step-by-step explanation:
The data provided is:
OR = 20
PR = 5
Assume that OR and PR are straight lines.
O_____________________R______P
Compute the length of OP as follows:
OP = OR + PR
= 20 + 5
= 25
Thus, the length of OP is 25.
Write 9y−211 as a sum or difference.
Answer:Difference
Step-by-step explanation:
Which of the following choices is the x intercept of the equation 2y-x=-6
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
[tex]2y-x=-6[/tex]
Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
[tex]2y-x=-6[/tex] becomes
[tex]2(0)-x=-6[/tex]
[tex]0-x=-6[/tex]
[tex]-x=-6[/tex]
Multiply both sides by -1
[tex]-1 * -x=-6 * -1[/tex]
[tex]x=-6 * -1[/tex]
[tex]x = 6[/tex]
Hence, the x intercept is 6
I will mark you brainliest!!!! What is the slope of this line?
Answer:
A.
Step-by-step explanation:
Rise over Run
A helicopter is flying at an elevation of 575 feet directly above a horizontal highway. Two motorists are driving cars on the highway. The angle of depression to one car is 28° and the angle of depression to the other car is 35°. How far apart are the cars to the nearest foot?
Answer:
Distance between cars rounded to the nearest foot is : 1903 ft
Step-by-step explanation:
Notice that two right triangles can be used to represent the diagram of this situation. One between the car whose angle of depression is [tex]28^o[/tex], and the other with the car with angle of depression [tex]35^o[/tex] (see attached image)
Each triangle in the attached image is depicted with a different color. and as one can see, the distance between both cars is the addition of the side "x" in one triangle, to the side "y" in the other.
Notice as well that the information known for both right-angle triangles is one acute angle, and the side opposite to it. And what one needs to find is the side adjacent to this acute angle. Then, the function to use in both triangles, is the tangent:
a) For the [tex]28^o[/tex] [orange] triangle :
[tex]tan(28^o)=\frac{575}{y} \\y=\frac{575}{tan(28^o)} \\y=1081.42\,\,ft[/tex]
b) For the [tex]35^o[/tex] [green] triangle:
[tex]tan(35^o)=\frac{575}{x} \\y=\frac{575}{tan(35^o)} \\y=821.19\,\,ft[/tex]
Therefore the total distance between cars is:
1081.42 ft + 821.19 ft = 1902.61 ft
which to the nearest foot can be rounded as: 1903 ft
Both the cars driven by the motorists on the highway are 1903 feet apart.
Angle of eleveation and angle of depression: Angle of elevation or depression is the angle between the line of sight and the horizontal line. Angle of elevation and angle of depression form an observer are equal in measure for the same object.
Given in the question,
Helicopter is flying at point A from which two cars at C and D are being observed. Elevation of the helicopter is 575 feet. Angle of depressions of both the cars are 35° and 28°.From right triangle ABC,
[tex]\text{tan}(35^\circ)=\frac{AB}{BC}[/tex]
BC = [tex]\frac{AB}{\text{tan}35^\circ}[/tex]
= [tex]\frac{575}{\text{tan}35^\circ}[/tex]
= 821.19 feet
From right triangle ABD,
[tex]\text{tan}(28^\circ)=\frac{AB}{BD}[/tex]
[tex]BD=\frac{575}{\text{tan}28^\circ}[/tex]
= 1081.42 feet
Distance between the cars (CD) = BC + BD
= 821.19 + 1081.42
= 1902.61 feet
≈ 1903 feet
Therefore, distance between the cars is 1903 feet.
Learn more about the angle of elevation and depression here,
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Write a mathematical sentence that expresses the information given below.
Use g as your variable name. If necessary:
type < = to mean <
or > Fito mean >.
The number of gallons of gas that were in the tank plus 13 more adds up to
76 gallons.
Answer:
g + 13 = 76
Step-by-step explanation:
We are told to use the variable "g" for the number of gallons of gas in the tank. When we add 13 to that, we are told the sum is 76. When all numbers are in gallons, this translates to ...
g + 13 = 76
cereal is on sale for $3.60 for a 9-ounce box. what is the price per ounce?
Answer:
$0.40 per oz
Step-by-step explanation:
given that the cereal is $3.60 for a 9 oz box
i.e
9 oz ----> costs $3.60
1 oz ----> costs $3.60 ÷ 9 = $0.40
hence the unit rate is $0.40 per oz
Answer:
0.40 per ounce
Step-by-step explanation:
The question asks is to find the unit rate, or price per ounce.
To find this, we need to divide the price by the number of ounces.
price/ ounces
It costs $3.60 for 9 ounces of cereal.
$3.60/9 ounces
Divide $3.60 by 9 (3.60/9=0.4)
$0.4/ounce
It costs $0.40 per ounce of cereal.
Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees. Which statement must be true about the diagram? Point K is a midpoint of Line segment J L. mAngleJKN = One-halfmAngleJKM Ray KM is an angle bisector of AngleNKL. JK = One-halfKL
Answer:
Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Step-by-step explanation:
Given that there are 4 lines that are extended from a point K.
Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]
Angle between KN and KM is [tex]61^\circ[/tex] i.e. [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].
Angle between KM and KL is [tex]61^\circ[/tex] i.e. [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]
Please refer to the attached image for the conditions and dimensions of angles given in the question statement.
Now, let us have a look at the options given:
1. Point K is a midpoint of Line segment JL
JL is not a straight line first of all, and secondly there is no condition given about the line segments.
So, it is incorrect.
2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]
[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and
[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]
So, it is also incorrect.
3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.
A car increases, then decreases, its speed. Which table could represent the speed of the car?
6
43
5
45
5
45
7
41
7
49
9
43
9
47
o
6
47
Time (min)
Speed (mph)
Time (min)
Speed (mph)
Time (min)
Speed (mph)
Time (min)
Speed (mph)
N00
il colloll
100
5
45
6
45
7
45
41
5
45
6
43
7
41
9
41
41
Answer:
The speed increases (45—>47—>49) then decreases (48—>47) over time.
Step-by-step explanation:
The table that represents the speed of the car that increases and decreases as time increases is Table B.
Option B is the correct answer.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values is given using this formula.
We have,
From the table,
We see that,
Time 5 6 7 8 9
Speed 45 47 49 48 47
This indicates that,
As time increases, the speed increased from 5 minutes to 7 minutes and decreases from 7 minutes to 9 minutes.
Thus,
The table that represents the speed of the car that increases and decreases as time increases are in Table B.
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A circular pond has a radius of 42 feet. What is the circumference of that pond?
Answer:
c = 263.89 ft
Step-by-step ex
find the nth term of the following sequence
4, 7, 12, 19, 28
Answer:
[tex]n^2+3[/tex]
Step-by-step explanation:
4, 7, 12, 19, 28
The differences are 7-4=3, 12-7=5, 19-12=7, 28-19=9.
This is an arithmetic sequence since the differences are constant.
There must be [tex]n^2[/tex] in the nth term.
These are the next terms in the sequence:
4, 7, 12, 19, 28, 39, 52, 67, 84, 103, 124, 147, 172, 199, 228, 259, 292, 327, 364, 403, 444, 487, 532, 579, 628, 679, 732, 787, 844, 903, 964, 1027, 1092, 1159, 1228, 1299, 1372, 1447..
[tex]n^2 +c=4[/tex]
[tex]1^2+c=4[/tex]
[tex]c=4-1[/tex]
[tex]c=3[/tex]
Therefore, the nth term is [tex]n^2+3[/tex].
Answer:
nth term = n^2 + 3.
Step-by-step explanation:
4 7 12 19 28
The differences are in an arithmetic sequence so this is a quadratic sequence,
- the differences are 3, 5, 7, 9... which is an A.S.
The common difference of the A.S. is 2 so there is n^2 in the formula for the nth term.
By inspection , we see that each term is 3 more than the term number squared.
1^2 + 3 = 4
2^2 + 3 = 7
3^2 + 3 = 12
4^2 + 3 = 19 and so on.
Can somebody help me with this ? :)
Answer:
B.
Step-by-step explanation:
A = C = 40°
40+40+ 4x = 180
4x = 100
x = 25°
Ian drinks 3 \text { pints}3 pints3, start text, space, p, i, n, t, s, end text of water during a long hike. He drinks 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction more \text {cups}cupsstart text, c, u, p, s, end text of water when he gets home.
Answer:
[tex]Total = 7\frac{1}{2} cups[/tex]
Step-by-step explanation:
Given
Initially, he drank 3 pints of water
Then, [tex]1\frac{1}{2}[/tex] more cups
Required
How many cups did Ian drink altogether
This question can be solved by adding the size of water he drank during the hike and when he got home
i.e.
[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]
But the answer should be in cups;
So, number of pints has to be converted to number cups
Given that 1 pint = 2 cups;
3 pints will be 3 * 2 cups
3 pints = 6 cups;
So,
[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]
[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]
[tex]Total = 7\frac{1}{2} cups[/tex]
Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water
What is the value of L-1.1)?
Answer:
-2
Step-by-step explanation:
The floor function returns the largest integer not greater than the function's argument. The largest integer less than or equal to -1.1 is -2.
What is being constructed based on the markings in the following diagram?
Inscribed regular hexagon
inscribed equilateral triangle
perpendicular line through a point off a line
perpendicular line through a point on a line
thank you :)
Answer:
perpendicular line through a point on a line
Step-by-step explanation:
The circle centered at C seems intended to produce point D at the same distance as point B. That is, C is the midpoint of BD.
The circles centered at B and D with radius greater than BC seems intended to produce intersection points G and H. (It appears accidental that those points are also on circle C. As a rule, that would be difficult to do in one pass.)
So. points G and H are both equidistant from points B and D. A line between them will intersect point C at right angles to AB.
Segment GH is perpendicular to AB through point C (on AB).
Answer:
Perpendicular line through a point on a line
Step-by-step explanation:
The diagonals of quadrilateral ABCD intersect at E(−2,4). ABCD has vertices at A(1,7) B(−3,5). What must be the coordinates of C and D to ensure that ABCD is a parallelogram?
Answer:
The coordinates of C and D are (1, 3) and (-5, 1), respectivelly.
Step-by-step explanation:
Since E is the midpoint of diagonals AD and BC (see attachment). That is:
[tex]AD = 2 \cdot AE[/tex]
[tex]BC = 2\cdot BE[/tex]
The vectorial distances of AE and BE are, respectively:
[tex]\overrightarrow{AE} = \vec E - \vec A[/tex]
[tex]\overrightarrow {AE} = (-2,4) -(1,7)[/tex]
[tex]\overrightarrow{AE} = (-2-1, 4-7)[/tex]
[tex]\overrightarrow {AE} = (-3,-3)[/tex]
[tex]\overrightarrow{BE} = \vec E - \vec B[/tex]
[tex]\overrightarrow {BE} = (-2,4) - (-3,5)[/tex]
[tex]\overrightarrow {BE} = (-2+3, 4-5)[/tex]
[tex]\overrightarrow {BE} = (1,-1)[/tex]
Now, the relative vectorial distances to C and D are now obtained:
[tex]\overrightarrow {AD} = 2\cdot \overrightarrow {AE}[/tex]
[tex]\overrightarrow {AD} = 2 \cdot (-3,-3)[/tex]
[tex]\overrightarrow{AD} = (-6, -6)[/tex]
[tex]\overrightarrow {BC} = 2 \cdot \overrightarrow {BE}[/tex]
[tex]\overrightarrow{BC} = 2 \cdot (1,-1)[/tex]
[tex]\overrightarrow {BC} = (2,-2)[/tex]
Lastly, the coordinates are found by the following vectorial equations:
[tex]\vec C = \vec B + \overrightarrow {BC}[/tex]
[tex]\vec C = (-3,5) + (2,-2)[/tex]
[tex]\vec C = (-3+2, 5 -2)[/tex]
[tex]\vec C = (-1,3)[/tex]
[tex]\vec D = \vec A + \overrightarrow {AD}[/tex]
[tex]\vec D = (1,7) + (-6,-6)[/tex]
[tex]\vec D = (1-6, 7 -6)[/tex]
[tex]\vec D = (-5, 1)[/tex]
The coordinates of C and D are (1, 3) and (-5, 1), respectivelly.
In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reelected with 55 percent of the votes. What is σrhoˆ? .00825 .0166 .0247 .0003
Answer:
Option B is correct.
0.0166 is correct.
Step-by-step explanation:
The σrho is the standard error of the sample proportion and it is given as
σₓ = = √[p(1-p)/n]
where p = sample proportion = 55% = 0.55
n = sample size = 900
σₓ = = √(0.55×0.45/900) = 0.016583124 = 0.0166 to 3 s.f.
Hope this Helps!!!