A. The future value of the account is approximately $905,364.92
To find the future value of the account, we will use the compound interest formula: `FV = PV × (1 + r)n `where FV is the future value, PV is the present value, r is the annual interest rate, and n is the number of years. In this case, PV is the sum of all contributions made over the years and r is 6.5%. Shannon contributed $500 annually for 11 years and then $1,000 annually for 40 years. Her parents contributed $500 annually for 11 years. Therefore ,PV = (11 × $500) + (40 × $1,000) + (11 × $500) = $62,000r = 6.5%n = 51 (from age 14 to 65)Using the formula, FV = $62,000 × (1 + 0.065)51 ≈ $905,364.92
B. The total contribution to the account is $51,000 + $5,500 = $56,500.
Shannon's total contribution is $500 × 11 + $1,000 × 40 = $51,000. Her parents' total contribution is $500 × 11 = $5,500.
C. The total interest is the difference between the future value and the sum of all contributions, which is $905,364.92 - $62,000 = $843,364.92
D. The future value of the account if Shannon waited until she was 19 before she started her IRA is approximately $267,008.09.
If Shannon started her IRA when she was 19 years old, she would have deposited $500 annually for 47 years and earned interest on that money. Therefore ,PV = 47 × $500 = $23,500r = 6.5%n = 47Using the formula,FV = $23,500 × (1 + 0.065)47 ≈ $267,008.09
E. The future value of the account if Shannon waited until she was 24 before she started her IRA is approximately $195,142.16.
If Shannon started her IRA when she was 24 years old, she would have deposited $500 annually for 42 years and earned interest on that money. Therefore, PV = 42 × $500 = $21,000r = 6.5%n = 42Using the formula,FV = $21,000 × (1 + 0.065)42 ≈ $195,142.16
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You are analyzing your bills in MERALCO for the consecutive months. Using your bill
at home express the amount per kwh (A) as a function of kilowatt per hour (k) consumed
for the last two consecutive months. Then create austerity plan for the next month.
(austerity measures taken to reduce spending)
Austerity
Plan
Bill for the last two consecutive months:
Create a rational inequality showing the relationship between the bill
in the last consecutive months:
List down the austerity measures to be undertaken to reduce the
electricity consumption:
Answer:
Php1000
Php2000
₱1000< ₱2000
*reduce using of appliances that's not important
*water conservation
*turning off electric equipment that is not often used like electric fan or light
Step-by-step explanation:
help, look at picture
Answer:
y= 5/3 which is 1 2/3
Step-by-step explanation:
trust me
y=5/3
.......................
what are all the equivalent ratios for 48:32
Step-by-step explanation:
There are infinitely many ratios for 48:32, so I'll just list a few:
24:16
6:4
3:2
9:6
480:320
240:160
60:40
30:20
90:60
what is this polygon called and is it a regular polygon or irregular polygon
Answer:
hexagon because it have 6 sides
Step-by-step explanation:
it is irregular because it sides are not equal
THIS POLYGON IS IRREGULAR BECAUSE THIS IS HEXAGON AND IT IS IRREGULAR
an hexagon is a six sided irregular polygon
What is polygon?
a simple closed curve which does not interest itself made up if only line system is called a polygon
REGULAR POLYGON- polygon whose all side are of equal length and all angles are of equal measure
are called regular polygon
EX - SQUARE
IRREGULAR POLYGON- polygon which are not regular are called a regular polygon quadrilateral and Isosceles triangle is an example
PLEASE HELP ME ON THIS PROBLEM
Answer:
DB!
Step-by-step explanation:
a) [tex](x+50)^{2} = x^{2} +100x+2500[/tex]
b) Plug the value in! [tex](15+50)^{2} = 65^{2} = 4225[/tex]
Hope I helped! Check out my profile for more answers!
Find the standard deviation of the data set below. Round to the nearest tenth,
6, 5, 2, 5,8
Answer:
The standard deviation = 1.9
Step-by-step explanation:
standard deviation, ρ = sqrt ( [tex]\frac{sum(x_{i} - u)^{2} }{N}[/tex])
Where u is the mean of the data, [tex]x_{i}[/tex] each given value, and N is the number of data given.
Mean, u = [tex]\frac{6+5+2+5+8}{5}[/tex]
= 5.2
So that;
[tex](6-5.2)^{2}[/tex] = [tex](0.8)^{2}[/tex] = 0.64
[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04
[tex](2-5.2)^{2}[/tex] = [tex](-3.2)^{2}[/tex] = 10.24
[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04
[tex](8-5.2)^{2}[/tex] = [tex](2.8)^{2}[/tex] = 7.84
Sum = 18.8
So that;
[tex]\sqrt{\frac{18.8}{5} }[/tex] = [tex]\sqrt{3.76}[/tex]
= 1.9391
= 1.9
The standard deviation of the given data is 1.9
3) Asanji's school is selling tickets to the annual dance competition. On the first day of ticket sales the
school sold 1 senior citizen ticket and 2 child tickets for a total of $32. The school took in $208 on the
second day by selling 12 senior citizen tickets and 8 child tickets.
This situation is modeled by the system below where x-a senior ticket and ya child ticket
x + 2y = 32
12x + 8y = 208
Find the price of a senior citizenticket and the price of a child ticket.
A) senior citizen ticket: $12, child ticket: $4
B) senior citizen ticket: $6, child ticket: $16
C) senior citizen ticket 10$, child ticket 11$
D) senior citizen ticket: $9, child ticket: $6
Answer:
C) senior citizen ticket 10$, child ticket 11$
Step-by-step explanation:
Write a percent proportion for the bar diagram
shown.
Answer:
If 68% is 17 then 100 percent is 25 I think
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
68% = 17
100% = 25
The percent proportion for the bar diagrams are:
17and 25.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
There are two bar diagrams.
Blue bar diagram:
68% = 17
Red bar diagram:
68% = 17
Multiply both sides by 100/68.
100% = 100/68 x 17
100% = 25
Thus,
68% = 17
100% = 25
The percent proportion for the bar diagrams are:
17and 25.
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PLSSSSSSS HELP ME CORRECT ANSWER
Answer:
8 units
Step-by-step explanation:
The formula for the area of a parallelogram is base * height = area. You have that the height = 5 and the area = 40, so that means base * 5 = 40.
If base * 5 = 40, you know that base = 8. You can also solve this like an equation:
b * 5 = 40
divide both sides by 5
b = 40/5 = 8 units
Answer: 8 units
uwu ur mom i hate flagotgs fr THAT IS A JOKE NO I DONT PLWAASE IMSS EORRY
What is this answer
Answer:
t = ≥ 0.1
Step-by-step explanation:
Hope that helps!
Fill blank boxes with the right answer.
Mrs. Favre sees that the Chicken Joint is having a sale. A small bucket of chicken usually cost $12.00 but today they are giving 30% off the small bucket.
How much will Mrs. Favre save on one small bucket of chicken? $______
What is the discount cost of one small bucket of chicken? $________
What is the discount cost of 5 small buckets? $______
Answer:
1. $3.60
2. $8.40
3. $42
Step-by-step explanation:
Hope this helps.
In 2030, the Census Bureau estimates that 19 of the 50 states will have a Spanish-speaking majority. What percent of the states will have a Spanish-speaking majority?
The sides of a triangle measure 7, 8, and 16. What type of triangle is it?
Answer:
obtuse triangle
Step-by-step explanation:
Answer:
It is a obtuse scalene triangle.
Step-by-step explanation:
Equilateral: all three sides are equal
Isosceles: two sides are equal
Scalene: no sides are equal to each other
If a squared + b squared = c squared it is a right triangle
If a squared + b squared is less than c squared it is a obtuse triangle.
If a squared + b squared is more than c squared it is a acute triangle.
A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
Answer: Y = 21
Step-by-step explanation:
A baseball is thrown straight up in the air with an initial velocity of 2 m/s. Draw a picture that shows the path of the ball as it goes up and comes down. Label the initial velocity, the velocity at max. height, and the acceleration of the ball.
Answer:
e
Step-by-step explanation:
what is 1.5x=3 please
Answer:
x=2
Step-by-step explanation:
1.5x=3
divide both sides by 1.5
1.5 and 1.5 cancel out
3/1.5= 2
x=2
1.5 x 2= 3
this is correct
Write an equation in y intercept form for the line with slope 3/5 and y intercept: -2. Then graph the line.
Please help asap!!
Answer:
y=3/5x-2
Step-by-step explanation:
What is the least common multiple of 8 and 12?
24
48
96
Answer:
The least common multiple of 8 and 12 is 24
Explanation:
Find and list the multiples each number until the first common multiple is found.
This is the lowest common multiple .
Multiples of 8
8, 16, 24, 32,40
Multiples of 12
12,24, 36,48
Therefore,
LCM of 8 and 12 is 24
Answer: The answer is 24
Step-by-step explanation: One easy way to find least common multiples is to take the large number and multiply it by increasing numbers (1,2,3,etc.) until a number is found that is also divisible by the smaller number.
In this case, we can multiple 12 by increasing numbers until we find a number that is also divisible by 8.
12
⋅
1
=
12
This is not divisible by 8.
12
⋅
2
=
24
This is divisible by 8.
8
⋅
3
=
24
Therefore, the least common multiple is 24.
Solve for x please help!!
Answer:
x = 4
Step-by-step explanation:
(14x - 15)° + 139° = 180°
14x - 15 + 139 = 180
14x + 124 = 180
14x = 56
x = 4
HELP THIS IS DUE TODAY
I'm stuck on this.
Step-by-step explanation:
couldn't find the answer but try to get photo math on your phone it would surely help
Answer:
x = 0, y = -4
x = 1, y = -1
x = 2, y = 2
x = 3, y = 5
Step-by-step explanation:
just plug in the x value to get the y smh
if u get it wrong its not on me
The solution to 6x = 48 is x = ___.
A. 5
B. 6
C. 7
D. 8
I don't understand this. Please help!!
Answer:
-2 5/8
Step-by-step explanation:
(3/8)/(1/-7) = (3/8)(-7/1) = -21/8=-2 5/8
Simplify: |72 - 9 • 7| - 8|16 - 2|
Answer:
answer is -103
How many solutions does the system have?
20x−5y=5
4x−y=1
Answer:
Infinite solutions.
Step-by-step explanation:
Just plug your equation into desmos graphing calculator and it will graph it for you. If it is infinite the two lines will lay on top of one another. If there is only one solution it will be where the two lines intersect. If there are no solutions the two lines will be parallel.
The first triangle is dilated to form the second triangle.
Select True or False for each statement.
Statement True False
The scale factor is 0.25.
True – The scale factor is 0.25.
False – The scale factor is 0.25.
The scale factor is 4.
True – The scale factor is 4.
False – The scale factor is 4.
A right triangle with a hypotenuse of 4.4. An arrow points to a smaller right triangle with a hypotenuse of 1.1
Answer:
Both true
Lelelelellele
At an apple orchard, customers use a standard-size box when picking apples. The table shows the total weight of the box of apples and the weight of the apples alone.
Question: Which statement is true?
The equation a= 7.5t models the relationship.
If the total weight of the box is 15 lb, then the weight of the apples is 13.5 lb.
If the total weight of the box is 20 lb, then the weight of the apples is 21.5 lb.
To find any value of a, subtract 2.5 from the corresponding value of t
Table:
Total weight of box (lb), t: 7.5
10
12.5
Weight of apples (lb) a: 6
8.5
11
Answer:
here's the right answer- someone on a different website said the same weird thing as the person before me smh
Step-by-step explanation:
If the total weight of the box is 15 lb, then the weight of the apples is 13.5 lb.
Option (2) is correct.
What is an equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws.
As per the given data:
The table shows the total weight of the box and the weight of the apples.
From the table:
Total weight of the box - weight of apples = weight of box
7.5 - 6 = 1.5 lb
10 - 8.5 = 1.5 lb
12.5 - 11 = 1.5 lb
If the total weight of the box is 15 lb and the weight of the apples is 13.5 lb
15 - 13.5 = 1.5 lb {weight of box}
Which satisfies the data in the table.
Hence, If the total weight of the box is 15 lb, then the weight of the apples is 13.5 lb.
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(The given question is incomplete, the complete question is given below)
I need help how to get the answer please help!
Answer:
w=10
Step-by-step explanation:
You would have to set 5w-4=46.
5w-4=46
Add 4 to both sides
5w=50
Divide both sides by 5
w=10
Answer:
W=10
Step-by-step explanation:
5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there
Help ME PLEASE!!!!!!!!!!!
If half of the pizza was cut into thirds, and you ate 1 of the 3 slices left, you would have eaten 1/6 of the leftovers.
Try 1/6.
Explain, as clearly as you can, why 4/5 of 25 is 20.
⅘×25=20
of means times.
(2x6)+(8+4)+1
With explanation
Answer: 25
Step-by-step explanation:
6 x 2 = 12
8 + 4 = 12
therefore, (2 x 6) + (8 + 4) + 1 = 12 + 12 + 1
which gives 25