Answer:
8, 8, and 8 make up 24.
Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $81.38 b. $80.01 c. $11,829.97 d. $11,776.00 please select the best answer from the choices provided a b c d
Step-by-step explanation:
We know that,
[tex] ➟\sf \: fv \: of \: annuity \: = p( \frac{(1 + r) {}^{n} - 1}{r} )[/tex]
where,
FV of annuity = $35,450
P = monthly payment,
r = rate of interest = 5.5% annually = [tex] \frac{5.5}{12}%[/tex]
n = number period = 20 years = 240 months
Putting all the values,
[tex] \sf35450 = p( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )[/tex]
[tex] \sf \: p = \frac{35450}{( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )}[/tex]
[tex] \sf \: p \: = \: \$81.36[/tex]
Therefore, they should deposit $81.38 monthly.
The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.
The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.
Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.
Given that the length of a bacterial cell is about 5.36 x 10⁻⁴ m, and the length of an amoeba cell is about 6.2 x 10⁻⁴ m.
Ratio of the size of the cell is
B/A = 5.36 x 10⁻⁴/6.2 x 10⁻⁴
B/A = 5.36/6.2
= 0.864
Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.
micro organism are prokaryotes, lacking nicely-defined nuclei and membrane-sure organelles, and with chromosomes composed of a unmarried closed DNA circle. they come in many sizes and styles, from minute spheres, cylinders and spiral threads, to flagellated rods, and filamentous chains.
To learn more about bacterial cell visit https://brainly.com/question/28224228
#SPJ9
Annabelle has $0.15 worth of pennies and nickels. She has a total of 7 pennies and
nickels altogether. By following the steps below, determine the number of pennies, x,
and the number of nickels, y, that Annabelle has.
Answer:
Nickels x = 11 and pennies y = 9
Step-by-step explanation:
Find the arc length of the partial circle.
Either enter an exact answer in terms of pi or use 3.14, point, 14 for pi and enter your answer as a decimal.
The length of the arc of the partial circle is 18.84 units.
As per the question statement, we are supposed to find out the length of the arc of the partial circle as given in the figure provided.
Before solving this question, we need to know the formula for calculating the arc length of the circle i.e.,
Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]
where [tex]\alpha[/tex] is the angle provided between the arc end in degrees
[tex]r[/tex] is the radius of the given circle in given units and
[tex]\pi =3.14[/tex]
In the given circle, the angle subtended by the arc is complete angle minus 90 degrees i.e.,
[tex]\alpha =360 - 90 = 270 degrees[/tex]
radius [tex]r[/tex] = 4 units (given)
Therefore Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]
[tex]= 2*3.14*4*(\frac{270}{360})\\ =25.12(0.75)\\=18.84 units[/tex]
Arc Length: Arc length is known as the distance between two points along a section of a curve.To learn more about arc and other circular dimensions, click on the link given below:
https://brainly.com/question/16930503
#SPJ9
what is 1 - 3 + 8? please help
Answer:
6
Step-by-step explanation:
1-3=-2
-2+8=6
Find the average rate of change of the function on the interval specified for real number b.
f(x) = 8x^2 − 6 on [1, b]
[answer], b≠1
The average rate of change of the function f(x) = 8x² - 6 is given as 8h + 16x
What is average rate of Change?It quantifies how much the function changed per unit on average throughout that time span. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.
What is the computation that justifies the above result?f(x) = 8x^2 - 6
Avge rate : [ f(x+h) - f(x)]/(x +h - x)
f(x+h) = 8(x+h)^2 - 6
f(x) = 8x^2 - 6
f(x+h) - f(x) = 8x^2 + 8h^2 + 16xh + 6 - 8x^2 -6 = 8h^2 + 16xh
Avg rate = ( 8h^2 + 16xh)/h
= 8h + 16x
Learn more about Average Rate of change:
https://brainly.com/question/24313700
#SPJ1
The average rate of change of the function over the interval is 8(b + 1)
How to determine the average rate of change of the function over the interval?The given parameters are
Function: f(x) = 8x^2 - 6
Interval: [1, b]
Calculate f(1) and f(b) using the function definition
So, we have
f(1) = 8(1)^2 - 6 = 2
f(b) = 8(b)^2 - 6 = 8b^2 - 6
The average rate of change of the function over the interval is then calculated as
Rate = [f(b) - f(1)]/[b - 1]
This gives
Rate = [8b^2 - 6 - 2]/[b - 1]
Evaluate
Rate = [8b^2 - 8]/[b - 1]
Factorize the numerator
Rate = [8(b + 1)(b - 1)]/[b - 1]
Divide through by b - 1
Rate = 8(b + 1)
Hence, the average rate of change of the function over the interval is 8(b + 1)
Read more about average rate of change at
brainly.com/question/8728504
#SPJ1
Does the figure above appear to have rotational symmetry?
If yes, select the angles of rotation less than 360°
Answer:
yes. because every time it is turned it should equal out to be the same angle as the last
Name all of the congruent parts. Give a reason for each.
Triangle OCE is congruent to Triangle OVE.
triangle LAP is congruent to triangle YAP.
9.
Triangle OCE is congruent to Triangle OVE
side CE=CV
angle COE= angle VOE
angle C = angle V
By AAS congruency Triangle OCE is congruent to Triangle OVE.
10.
angle LAP =angle YAP
AP common side
LA=PY
By SAS congruency so triangle LAP is congruent to triangle YAP.
To learn more about this visit , https://brainly.com/question/24770766
#SPJ9
in this problem you will explain using simplre plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates
A parallelogram has an area of 20 units².
Solution:
A = bhTo find b = base, use the distance formula; to find h = height, use the perpendicular distance from a line to a point formula.Explanation:
The coordinates of a parallelogram are given. Locate the area.A = bhIt's easiest to demonstrate by doing an example.(0,0), (5,3), (5,7), etc (0,4). The base is represented by the points (0,0), and (5,3). The point (0,4) = (m,n) top leftUsing the distance formula, calculate the length of the base b:
[tex]\begin{aligned}&\mathrm{d}=\sqrt{\left(\mathrm{y}_2-\mathrm{y}_1\right)^2+\left(\mathrm{x}_2-\mathrm{x}_1\right)^2} \\&\mathrm{~b}=\sqrt{(3-0)^2+(5-0)^2}=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]
Using the perpendicular distance from a line to a point formula, calculate the height h:
[tex]\mathrm{d}=\frac{|\mathrm{Am}+\mathrm{Bn}+\mathrm{C}|}{\sqrt{\mathrm{A}^2+\mathrm{B}^2}}[/tex] where (m,n) is the left-top point from which we will drop a perpendicular to the base b line.The baseline must have the following formula: Ax + By + C = 0.Determine the baseline:
Slope = m = [tex]\frac{3-0}{5-0}=\frac{3}{5}[/tex]Line: [tex]y-y_1=m\left(x-x_1\right) ; y-3=\frac{3}{5}(x-3)[/tex]Distribute: [tex]y-3=\frac{3}{5} x+\frac{3}{5} \cdot-\frac{5}{1} ; y-3=\frac{3}{5} x-3[/tex]Baseline: [tex]y=\frac{3}{5} x[/tex]In Ax + By + C = 0 form, the bottom line is:
[tex]\begin{aligned}&\frac{3}{5} \mathrm{x}-\mathrm{y}=0 ; 5\left(\frac{3}{5} \mathrm{x}-\mathrm{y}=0\right)=3 \mathrm{x}-5 \mathrm{y}=0\\&\mathrm{A}=3 ; \mathrm{B}=-5 ; \mathrm{C}=\mathrm{O}\\&h=\frac{|3 \cdot 0+(-5) \cdot 4+0|}{\sqrt{3^2+(-5)}}=\frac{|-20|}{\sqrt{9+25}}\\&\mathrm{h}=\frac{20}{\sqrt{34}}\\&\mathrm{A}=\mathrm{bh}=\sqrt{34} \cdot \frac{20}{\sqrt{34}}=20 \text { units }^2\end{aligned}[/tex]
Therefore, a parallelogram has an area of 20 units².
Know more about parallelograms here:
https://brainly.com/question/970600
#SPJ4
The complete question is given below:
In this problem, you will explain using simple plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates.
Help! This is for geometry b project parabolas part 3
Answer:
[tex](x+3)^2=-4(y-3)[/tex]
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry
[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]
[tex]\textsf{Vertex}=(h, k)[/tex]
[tex]\textsf{Focus}=(h,k+p)[/tex]
[tex]\textsf{Directrix}:y=(k-p)[/tex]
[tex]\textsf{Axis of symmetry}:x=h[/tex]
If p > 0, the parabola opens upwards.
If p < 0, the parabola opens downwards.
From inspection of the given graph:
Vertex = (-3, 3)Focus = (-3, 2)Directrix: y = 4Axis of symmetry: x = -3Therefore:
h = -3k = 3k + p = 2 ⇒ 3 + p = 2 ⇒ p = -1k - p = 4 ⇒ 3 - p = 4 ⇒ p = -1Substitute the found values of h, k and p into the formula:
[tex]\implies (x-(-3))^2=4(-1)(y-3)[/tex]
[tex]\implies (x+3)^2=-4(y-3)[/tex]
Learn more about parabolas here:
https://brainly.com/question/28152421
https://brainly.com/question/28160799
Maysa made an error in her work on the following problem.
3
.
5
−
2
.
46
=
1
.
16
Describe Maysa's error. Explain how you would use a model or place-value concepts to help Maysa build understanding. Give the correct answer in your explanation.
The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.
The correct equation is as follows;
3.5 - 2.46 = 1.04
Which method can be used to find the correct value to the equation?The given equation that has an error is presented as follows;
3.5 - 2.46 = 1.16
The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.
The correct process for the subtraction is presented as follows;
3.5¹0
- 2.46
1.04
Therefore;
3.5 - 2.46 = 1.04
Learn more about number place values:
https://brainly.com/question/25137147
#SPJ1
The students in the Art Club are tiling a wall at the entrance to room 111 that is 8 Ft by 16 ft. They are using tiles that are 6 in. by 6 in. to create a multi-colored design. How many tiles do the students need?
Th number of tiles the students need is 512.
How many tiles are needed?The first step is to convert feet to inches
1 feet = 12 inches
The next step is to convert the dimensions of room 111 to inches
8 x 12 = 96 inches
16 x 12 = 192 inches
Now, determine the area of the room and the tiles.
Area = length x width
Area of the room = 96 x 192 = 18,432 in²
Area of the tile = 6 x 6 = 36 in²
Number of tiles needed = 18,432 in² / 36 in² =512
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
#SPJ1
x = ?
f(x) = 3x - 7
f(x) = -1
Answer:
-21 If that is a option
Step-by-step explanation:
Answer: I hope this helps.
Step-by-step explanation:
Omg please help and hurry with this one .
Giving brainliest to anybody that can help and give the correct answer.
Answer:
-3 is in between - 2 and - 4, - 9 is in between - 8 and - 10
follow and likes and plot the point (-3,-9)
Answer:
your dot will be next to -10
Step-by-step explanation:
the pawn class represents the physical body, and the controller class represents the brain. choose one • 1 point true false
Actors that can be manipulated by humans or artificial intelligence (AI) all descend from the Pawn class. A player or AI entity's physical representation in the world is called a "Pawn." This means that the player's or AI entity's physical interactions with the outside environment, such as collisions and other physical interactions, are likewise controlled by the Pawn. This can be perplexing in some situations because some game types might not have an obvious player mesh or avatar. Regardless, the Pawn continues to reflect a player or other entity's actual position, rotation, etc. within the game. A unique class of Pawn that can move around is called a Character.
The default relationship between Controllers and Pawns is one to one, which means that each Controller can only have one Pawn under their control at any given moment. Additionally, a Controller does not necessarily hold a Pawn that spawns while a game is being played.
What do you mean by manipulated?When someone is manipulating you, they are likely mentally forcing you to do something you don't truly want to do, the expert claims. You may feel compelled to do it, afraid to do it, or guilty if you don't.
To know more about manipulated visit:
https://brainly.com/question/11505552
#SPJ4
The Econo Motel charges $260 for 4 nights . At this rate , how much would 7 nights cost?
Answer: $455
Step-by-step explanation:
I would think you would divide 260 by 4 and that would get you 65 and then multiply 65*7 and that would be $455
PLS HELP
ANSWER NEED
Answer:
3 terms
Step-by-step explanation:
3, y and ^2 are all terms in the expression
pat wants to buy four donuts from an ample supply of three types of donuts: glazed, chocolate, and powdered. how many different selections are possible?
According to the question, Pat wants to buy four donuts.
Let us assume donuts should be represented as ’D’. And the four donuts can be represented as ‘DDDD’.
Now, as per the question, there are three types of donuts and they are glazed, chocolate and powdered. Divide the donut into two parts as first one is glazed, second is chocolate and third is powdered. And the quantity of glazed is one, chocolate is two and powdered is one. And the total object is six. Therefore, the probability can be written as:
[tex]P(E) = \frac{6P2}{2} = 15 ways.[/tex]
Hence, there are [tex]15[/tex] ways to select the donuts.
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
To learn more about the Probability from the given link:
https://brainly.com/question/25688842
#SPJ4
write the equation in slope intercept form for the line with the given slope that contains the given point l.
slope =-3;(-1,6)
Answer: 3 = b (maybe, usually unsure)
Step-by-step explanation: bing
y = mx + b, this is the formula.
b = y-intercept
m = slope
1. We know that (-1,6) is our pair.
2. The formula when written with the info is y = -3x + b
3. We know that -1 is the x and the y is 6, so subbing the x and y in the formula, it is 6 = -3(-1) + b.
4. When multiplied, it becomes 6 = 3 + b
5. Then we combine like terms, by subtracting 3 into 6, making 3 = b
6. So, it is 3 = b
Find the measures of the angles of following triangle.
The ratio of the measures of the three angles is 3: 6: 1 .
Answer:
54º, 108º and 18º respectively
Step-by-step explanation:
Find the equation of the line parallel to the given line passing through the given point
y=-3x+2; (-2,-6)
Answer:
2946
Step-by-step explanation:
I don't know and iam not sure in that
Rewrite 8 + 12 using the GCF and factoring.
2(2 + 6)
4(8 + 12)
4(2 + 3)
8(1 + 12)
Answer:
4(2+3) is the answer
Step-by-step explanation:
Those are both factors of 8 and 12 and it is re written.
4(2+3)
4*2 + 4*3
8+12
2. Provide all the details necessary to map △XYZ to △JLK in the picture below. Show your work AND record your response below.
Translate △XYZ 9 units to the right and then 11 units down to get △JLK.
We need to map △XYZ to △JLK.
From the figure, △XYZ is in the 2nd quadrant and △JLK is in the 4th quadrant.
Also it is clear that side XY is mapped to JK, YZ to KL and XZ to JL.
To find the distance translated to the right we need to find the distance between the x- coordinates of the corresponding points of the two triangles as they are congruent.
Consider Y and K. The x- distance between Y and K = 6 - - 3 = 9 units.
So first 9 units translation to right.
Similarly, To find the translation downwards, we need to find the distance between the y-coordinates of Y and K.
y-Distance between Y and K = 1- -10 = 11 units.
So next 11 units translation to down.
This will give the △JLK from △XYZ .
Learn more about maps between triangles at https://brainly.com/question/4289712
#SPJ1
You wants to make a scale drawing of her kitchen her kitchen is a rectangle with 6 M and 2 m wide she decides on a scale of 1 to 40 m draw a label of the dimension of the scale of Mia's Kitchen using a scale of 1 to 40
Her door should be 3 cm on scale .
A ratio is defined as a comparison of two quantities of equal units, showing how much of one quantity is in the other quantity.It is given that dimension of the kitchen table is 60m by 2 m .
Let the width of the door be " x".
We given Mal's Kitchen door is 1.2 m wide .
The ratio is given by
[tex]x:1.2[/tex] ......(1)
She decides on a scale of 1 to 40 which means 1 : 40 .....(2)
Equating equation (1) and (2) , we get
[tex]x:1.2=1:40[/tex]
Representing in fraction , we get
[tex]\frac{x}{1.2} =\frac{1}{40} \\\\x=\frac{1.2}{40} \\\\x=0.03m\\x=3cm[/tex]
Learn more about fraction here :
https://brainly.com/question/2328454
#SPJ9
The complete question is mention below :
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?How wide should the door be on the scale drawing?
If the tallest person who ever lived was approximately 9 feet tall, write an inequality that represents the heights of every other person who ever lived.
Use x for your variable
The inequality that represents the heights of every other person who ever lived is, 9 ≥ x
We have to find the inequality that represents the heights of every other person who ever lived, where the tallest person who ever lived was approximately 9 feet tall, according to the question.
Here x denotes the height of every person who ever lived,
So, the inequality is, 9 ≥ x
Every person ever lived, must be equal to or lesser than 9 feet.
To know more about inequality visit ,
https://brainly.com/question/15137133?referrer=searchResults
#SPJ1
400,000 = 4×106
True or false
Answer: False
Step-by-step explanation:
4 x 10^6 = 4000,000
400,000 is 4 x 10^5
Answer:
False
Step-by-step explanation:
10^6=1,000,000 ==> 10^6 has 6 zeros after the '1', making 10^6=1 million.
4*10^6=4,000,000, not 400,000
a salad dressing calls for 3 parts oil and 1 parts vinegar. manuela uses 2 tablespoons of vinegar and 6 tablespoon of oil to make her salad dressing
I need help with this,I need the awnsers before tommrow PLEASE AND THANK YOU!!!!!
The graphs of the function is attached below.
The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.Determine whether the figure looks reversed, like a reflection in a mirror. The graph has been reflected if we can locate a line of reflection, picture folding the image over the line of reflection, and the shapes stack one on top of the other.The given graph is y = 2 x³ - 3
To understand the transformation we have to find the parent function.
For this graph the parent function is given by:
y = x³
So let us transform the graph to y=2x³ , the graph is stretched 2 times.
Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.
To learn more about transformation visit:
https://brainly.com/question/11709244
#SPJ9
Probability : 1) A pair of fair dice each numbered 1 to 6 is tossed. (i) find the probability of getting a sum of at least 9. (ii) that the two dice show the same result.
Pls help me my deadline is on tommorow afternoon
The probability of getting a sum of at least 9 is 0.277 and the probability of the two dice show the same result is 0.166
The sample space for the pair of fair dice is { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
The probability of getting a sum of at least 9 =no of outcomes whose sum is 9 or more / no of elements of sample space
= 10/36
=0.277
The probability of the two dice shows the same result = no of elements having the same result/ total number of outcomes
=6/36
=0.166
To know more about probability - https://brainly.com/question/11234923
#SPJ9
Tom drives 8 1/2 miles every 1/30 hour. How many miles can he drive in 3 hours?
Tom drives 243 miles in 3 hours.
What is speed?
The rate at which an object's position changes in any direction.Speed is defined as the ratio of distance traveled to time spent traveling.Because it has only one direction and no magnitude, speed is a scalar quantity.So, to find how many miles Tom can drive in 3 hours:
Tom drives 81/2 miles every 1/30 hour.
81/2 miles = 40.5 miles
1/30 hours = 30 minutes
So, in 30 minutes Tom drives 40.5 miles.
Then, in 1 hour Tom will drive 40.5 + 40.5 = 81 miles.
Miles Tom will drive in 3 hours = 81 × 3 = 243 miles.
Therefore, Tom drives 243 miles in 3 hours.
Learn more about the Speed at:
https://brainly.com/question/13892681
#SPJ1