The total balance in Raul's account after 40 years when he retires is $65,714.90.
What is the total balance?The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 1.5/12 n = number of periods = 12 x 40 = 480$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
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urgent i've tried numerous times but i've been unable to factor it
Answer:
[tex](2c+a+3b)(2c-a-3b)[/tex]
Step-by-step explanation:
Given expression: [tex]4c^2-a^2-6ab-9b^2[/tex]
Factor [tex]-a^2-6ab-9b^2[/tex]
[tex]\implies -(a^2+6ab+9b^2)[/tex]
[tex]\implies -(a+3b)(a+3b)[/tex]
[tex]\implies -(a+3b)^2[/tex]
Factor [tex]4c^2[/tex]
[tex]\implies(2c)(2c)[/tex]
[tex]\implies (2c)^2[/tex]
Therefore,
[tex](2c)^2-(a+3b)^2[/tex]
Difference of Two Squares: [tex]x^2-y^2=(x+y)(x-y)[/tex]
[tex]x^2=(2c)^2\implies x=2c[/tex]
[tex]y^2=(a+3b)^2 \implies y=a+3b[/tex]
Therefore,
[tex]\implies (2c + a + 3b)(2c - (a + 3b))[/tex]
[tex]\implies (2c+a+3b)(2c-a-3b)[/tex]
Answer:
(2c - a + 3b)(2c + a + 3b)
Step-by-step explanation:
4c² - a² - 6ab - 9b²
= 4c² - (a² + 6ab + 9b²) ← the terms in the parenthesiis are a perfect square )
= 4c² - (a + 3b)² ← this is a difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
= (2c)² - (a + 3b)²
= (2c - (a + 3b) )(2c + (a + 3b) )
= (2c - a - 3b)(2c + a + 3b)
What is the simplified form of V10,000 ,
100x³²
..................
In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.
Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)
Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)
The LSRL is the Least Squares Regression Line of the new engine design performance
The LSRL is: y = 11.6559 + 3.47812x The predicted top speed when the weight is 100 tons is 359.4679How to determine the LSRL?This is the equation of the Least Squares Regression Line.
From the calculation summary, we have the following parameters:
Coefficient of constant = 11.6559Coefficient of Weight = 3.47812So, the LSRL is:
y = 11.6559 + 3.47812x
Where y represents the predicted volume and x represents the weight.
The predicted value when the weight is 100 tonsIn (a), we have:
y = 11.6559 + 3.47812x
Substitute 100 for x
y = 11.6559 + 3.47812 * 100
Evaluate
y = 359.4679
Hence, the predicted top speed when the weight is 100 tons is 359.4679
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he conic section below is
x
a. a circle
b. an ellipse
C. a parabola
d. a hyperbola
e. a degenerate
Enter
Answer: Degenerate
Step-by-step explanation:
This conic section (intersecting lines) is a degenerate
The conic section is degenerate.
The correct option is (e).
What is Conic?Any curve produced by the intersection of a plane and a right circular cone.
As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
Hence, the conic section is degenerate.
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A bag of marbles contains 7 blue marbles and 13 red marbles. What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%
Answer:
65%
Step-by-step explanation:
We need to divide to solve this :)
13/20 = 0.65
Now we multiply :)
0.65 x 100 = 65%
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
D. 65%
Step-by-step explanation:
the Number of red marbles is 13
The total number of marbles is 13 + 7 = 20
Then
the percentage of red marbles is :
[tex]\frac{13}{20} \times 100[/tex]
[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]
What is X when 19,695 divided by X-15,605 = 100
Step-by-step explanation:
[tex] \frac{19695}{x - 15605} = 100[/tex]
[tex]19695 = 100(x - 15605)[/tex]
[tex]19695 = 100x - 1560500[/tex]
[tex]19695 + 1560500 = 100x[/tex]
[tex]15801 95 = 100x[/tex]
[tex] \frac{1580195}{100} = x[/tex]
[tex]x = 15801.95[/tex]
Write an equation of the line in slope-intercept form.
y =
Answer:
y=1/4x+3
Step-by-step explanation:
You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.
answer with explanation please
Answer:
D. x>5
Step-by-step explanation:
[tex]3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5[/tex]
The volume of a cylinder is 1,0297 cubic
centimeters. The height of the cylinder is
21 centimeters. What is the radius, to the
nearest centimeter, of the cylinder?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]
Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA =
Answer:
Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve
3/4 x (z^3 x 4) answer
Answer:
[tex]3z {}^{3} \times 12[/tex]
[tex]36z {}^{3} [/tex]
Which of the following is formula that represents The Pythagorean
Theorem?
Look at the diagram for the answer
Hope that helps!
8 + X = 14 what does X equal to?
Answer:
x=6
Step-by-step explanation:
Rearrange terms:
8+x=14
x+8=14
Subtract 8 from both sides and simplify.
Given :-
8 + X = 14To find :-
The value of XSolution :-
8+x = 14
Transferring 8 to Right sidex = 14-8 (Signs change when transferred to opposite side)
x = 6
Question 1 of 10
The discriminant of a quadratic equation is negative. One solution is 2 +31.
What is the other solution?
O A. 3-2,
O B. 2-31
O c. 3+27
3
O D. -2+31
Answer:
2-31 your welcome answer is B.
Factor 100xy+75xyz
Please help!
Answer:
25xy(4+3z)
Step-by-step explanation:
identify common factors
25xy*4+3z*25xy
group common factors
25xy(4+3z)
HELP PLEASE!!!
Worth 1 point
Giving 30!!
PLS HELP
I'LL GIVE BRAINLEIST IF CORRECT!!
Answer:
^EKF and^HKI
Step-by-step explanation:
Because they are vertically opposite anglesConvert 192 cups to gallons. Enter your answers in the boxes.
Answer: 12 gallons.
Step-by-step explanation: It takes 4 cups to make 1 quart. It takes 4 quarts to make a gallon. If you do the calculations, it takes 16 cups in total to make 1 gallon. By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.
Let me know if this is right! :)
Help picture below problem 18 will give brainlest
Answer:
c²=a²+b².
Step-by-step explanation:
28²=17²+b² 766=289+b². -b²=289-766. b²=√475
PLEASE HELP PLEASE PLEASE PLEASE HELP
A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h2 where h and d are measured in feet. What is the rocket's height when the distance between you and the rocket is 100 feet?
Answer:
iam thinking the answer is ""-262,5ft""
The height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.
What is the height?The height is a vertical distance between two points. It is given that A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h² where h and d are measured in feet.
The height will be calculated by forming the two equations from the given data in the question.
25 = 625 + h²
100 = 4 ( 625 + h² )
100 = ( 2500 + 4h² )
By solving both the equations:
100 - 25 = 2500 - 625 + 4h² - h²
3h² = 1800
h = √600
h = 24.49 feet
Therefore the height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.
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8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
Answer:
B. 149Step-by-step explanation:
The angle formed by two secants is half the difference of intercepted arcs.
46 = 1/2(x - 57)x - 57 = 46*2x = 57 + 92x = 149Correct choice is B
Let that be m
2(46)=m-5792=m-57m=92+57m=149option B
x + y = 2
y - z = 2
x + y - z = 3
.
OA (1,1,-1)
OB. (-1,1,1)
oc. (-1,-1,1)
OD. (-1,1,-1)
Answer:
it would be B because of the lang it and work
pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Find (a) the selling price,
(b) the reduced price,
(c) the percent of markdown,
and (d) any operating or absolute loss.
Answer:
See belowStep-by-step explanation:
Initial cost = $52
Markup for operting expences = 34%
$52 + 34% = $52*1.34 = $69.68Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)d) The absolute loss:
$69.68 - $48.86 = $20.82Does this graph show a function? Explain how you know.
• A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
• c. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
A graph that shows a function must pass the vertical line test
The true statement is (b) No; the graph fails the vertical line test.
How to determine if the graph shows a function?
For a graph to show a function, the graph must pass the vertical line test
The given graph do not pass the vertical line test;
This is so because, a line drawn from the x-axis would touch the graph at at least two different points
Hence, the true statement is (b) No; the graph fails the vertical line test.
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Pat can drive 36 kilometers for every 3 liters of gas they put in their car.
Complete the table using equivalent ratios.
Kilometers
Liters
36
3
48
132
Answer:
Step-by-step explanation:
This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.
36 liters.
36 km/3 Liters = x / 36 multiply both sides by 36
36*36 / 3 = x
1296/3 = x
x = 432 km
So on 36 L he can go 432 km
3 liters
Given as 36 km
48 liters
36km/3 liters = x / 48 liters Multiply both sides by 48
48*36/3 = x
576 km = x
So on 48 liters, he can go 576 km
132 liters
36 km/ 3 liters = x/132
x = 1564 km
On 132 liters Pat can go 1564 km
Use the distributive property to fill in the blank. Plssss helpp 8 x (6 - 5) = (8 x ?) - (8 x ?)
Answer:
334 hope this helps
Step-by-step explanation:
8 × 6 = 48 -5 =43 ×8 =334
Hey there!
8 * (6 - 5)
= 8(6 - 5)
= 8(6) + 8(-5)
= 48 - 40
= 8
OR
8(6 - 5)
= 8(1)
= 8
OR EVEN
(8 * ?) - (8 * ?)
= (8 * 6) - (8 * 5)
= 48 - 40
= 8
Therefore, your answer should be:
(8 * 6) - (8 * 5)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Zoe has $45. She needs to buy a dress pattern for $12 and fabric that costs $9 per yard. What is the maximum number of yards of fabric can she buy?
45-12=33
then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.
) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>
Answer:
600in³
Step-by-step explanation:
the equation for volume is:
V=s*3
(s is a varible which means LengthxHeightxWidth)
step 1
V= (10")(5")(12")
then it equals your answer
up above is the answer.
Hope it help you out.
Don't forget to label.
What is the volume of the prism? __ in.³.
Answer:
volume is 20^3 inches i hope i helped
(mark brainliest)