Mathematics High School

At age 23​, someone sets up an IRA​ (individual retirement​ account) with an APR of ​7%. At the end of each month he deposits ​$75 in the account. How much will the IRA contain when he retires at age​ 65? Compare that amount to the total deposits made over the time period.

Answers

Answer 1

Answer:

The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.

Step-by-step explanation:

In order to solve this problem, we can make use of the following formula:

[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]

Where:

FV= Future value of the ira

PMT= the amount of money you deposit each month

i= is the interest rate per period

n=number of periods

in this case we will assume the interest will be compounded each month.

So:

FV this is what we need to know.

PMT= $75  the amount he will deposit each month

t = 42 years,

this is 65-23=42

n=42 years * 12 months/year = 504 months

i=0.07/12

So we can now use the given formula:

[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]

[tex]FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}][/tex]

So we get:

FV=$228,278.05

which is the amount of money he will have after 42 years.

In total, he deposited:

$75*504months = $37,800

so he will have:

[tex]\frac{228,278.05}{37,800}=6.04[/tex] times the amount of money he deposited throughout this time.

Related Questions

Select the ordered pairs that are part of the
solution set of this system of inequalities.

Answers

Answer:

ye boy

Step-by-step explanation:

Answer:

the second one, I asked my Kids.

determine the equation of the line which has a graident 4 passing through (3,-2)​

Answers

(y-y1)=m(x-x1)
y-(-2)=4(x-3)
y+2=4x-12
y=4x-14

The graph of f(x) = 3 . 2*-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?

Answers

Answer: (c)

Step-by-step explanation:

Given

Function [tex]f(x)[/tex] is [tex]3\times 2^x-3[/tex]

Also, [tex]g(x)[/tex] is the transformation of [tex]f(x)[/tex]

From the graph, it is clear that [tex]g(x)[/tex] passes through the point [tex](0,5)[/tex]

Now check the option which satisfies the condition

option (c) seems to obey it

[tex]g(x)=3\cdot 2^x+2\\g(0)=3\cdot 2^0+2\\g(0)=3\cdot 1+2\\g(0)=3+2\\g(0)=5[/tex]

Therefore, option (c) is correct.

please help me with this problem!!

Answers

Answer:B hope this helps! :D

Step-by-step explanation:

1. Determine the value of x.
Please help

Answers

Answer:

55..........................

can u guys help me with this

Answers

Answer:

Step-by-step explanation: Finding the height can be solved using a simple formula using the length of the base and the area. You should multiply length times area! hope this helps.

45 Points HELP RIGHT NOW!!!! Due in 2 hours!!!!! NO websites are allowed and please give me the order like this I need the steps too!!! I will mark you brainless too don’t answer for points or your reported
1 (table)
2(dog walker)
3(Ms Scholl)

Answers

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

Which describes the number and type of roots of the equation x^3 + 121x = 0?
a. 2 real roots, 1 imaginary root
b. 1 real root, 2 imaginary roots
c. 3 real roots
d. 3 imaginary roots

Answers

Answer:

b; 1 real root and 2 imaginary roots

Step-by-step explanation:

From here, we have

x(x^2 + 121) = 0

x = 0 (1 real root)

or

x^2 + 121 = 0

x^2 = -121

x = √(-121) (2 imaginary roots)

so is would be two complex numbers from above

Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?

Answers

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

Given the circle O with the diameter AB. Find x in degrees.
A) 40 degrees
B) 60 degrees
C) 80 degrees
D) 120 degrees

Answers

Answer:

B) 60 degrees

Step-by-step explanation:

. If you know the circumference of the circle, divide it by π to get the diameter.

How do you solve this? I really don't understand...

Answers

Answer:

MEAN 5.8 add all the points up then divide by the number of dots

MEDIAN 5 the middle of the data

MODE 5 most accruing one

RANGE 7 maximum minus minimum

On a hike, Oscar's elevation change after 12 minutes was-84 feet. Assuming his elevation was changing at a constant rate, what integer represents his elevation change per minute?​

Answers

Answer: -7

Step-by-step explanation:

From the information given, we are.l told that Oscar's elevation change after 12 minutes was -84 feet.

Since his elevation was changing at a constant rate, his elevation change per minute will be:

= -84 feet / 12

= -7feet/minutes

Therefore, the integer is -7.

What is the exact side length of a cube that
has a volume of 10 cubic units?

Answers

Answer:

[tex] {x}^{3} = 10 \\ x = \sqrt[3]{10} [/tex]

Answer:

2.1544 units

Step-by-step explanation:

This side length can be found by finding the third root of the cube:

side length = {10 units^3}^{1/3)  = 2.1544 units

Note:  as a check we can cube this result:  2.1544^3 = 10

David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

Answers

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

help 5 ratee????????????

Answers

The measure of the other a he is 55 degrees

What’s the answer to this?

Answers

Answer:

2

Step-by-step explanation:

How to find the height of the cylinder without volume

Answers

Using the Pythagorean theorem

Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras

Answers

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

which of these expression is equivalent to -2(3-y)​

Answers

[tex]( - 6 + 2y)[/tex]

answer the question

Please please help me please!!!!!!! URGENT!!!!

Answers

Answer:

the answer is 25 so yeah hhhhh

HELP ASAP!
Find the surface area of the figure. Round to the nearest hundredth if necessary ^

Answers

Answer:

1187.52 yd^2

Step-by-step explanation:

SA=2πrh+2πr^2

R=9

H=12

So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2

have x 50 notes and y N100 notes. There
are eight notes altogether and their total
value is N550. How many of each note do
I have​

Answers

Answer:

hi

Step-by-step explanation:

hi

You need to use simultaneous equations to solve this problem since there are 2 variables.

1. 50x + 100y = 550 (value of the notes x the number of each note)

2. x + y = 8 (the number of each note added).

3. Multiply the second equation by 50 so that it the x variables are the same in both equations. Thus, 50x + 50y = 400.

4. Subtract 50x + 50y = 400 from 50x + 100y = 550.

5. The subtraction results in 50y = 150.

6. Divide by 50. y = 3, so x must equal 5.

Choose the expression that shows the difference between x and y.

Answers

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

Factorise the following:
a) x – 5x - 6
b) x + 3x – 40
C) - 7x - 30

Answers

Answer:

-4x-6

4x-40

-7x-30

Step-by-step explanation:


Is this the right answer?

Answers

Answer:

yes

Step-by-step explanation:

10 is half of 20 but the equation is 11/20 therefore 11/20 is greater than 10/20=1/2

Use the calculator to see how much you can save. Let's say you start with $2,000, save $100 a month for 10 years, and the account has a 2.5% interest rate. Based off of that calculation, how much interest would you earn?

Answers

Answer:

2500

so first you have to 100x 10 then times 2.5

Step-by-step explanation:

Suppose that 21 inches of wire costs 84 cents.
At the same rate, how much in cents) will 47 inches of wire cost?

Answers

Answer:

44 cents

Step-by-step explanation:

First we need to find out how much per inch so do 84 divided by 21 which is 4 then get the closest to the number 47 which is 44 so 4x11=44 cents I'm not sure if it's right tho

hallar el numero de intervalo de
33 - 11= 22

Answers

Answer:

22=22

Step-by-step explanation:

33-11

22

22=22


A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?

Answers

24/4 = 6

6 • 2 = 12

12 cups of water
The answer is 12 cups of water

the product of a number and two more than the number .. what is the expression?

Answers

the expression would be (n+2)n
Other Questions
A scientist helps a colleague do a better experiment by:O A. laughing when a common and avoidable mistake is repeated.B. offering advice about how best to perform a standard procedure.C. explaining why a hypothesis does not need to be tested in anexperiment.D. refusing to allow anyone else to use an expensive instrument. ?Round to the nearest hundredthousand.4,821,766 2m^2 - 4m/ 2(m - 2) simplified Find the 16th term to the series PLEASEEE Simplify 6(1/4+5/2)-2 with an explanation The total cost for dinner last night was 43.57. Tax is 9% and I want to leave a 20% tip. What will my final total be including tax and tip Question 2 of 10Which of these questions contains a negative?A. "Name all nine of the planets in the solar system."B. "How many planets are in the solar system."C. "Why do most planets have satellites?"D. "Which of these statements about planets is not true?" Which of these sentences is a run-on sentence? * 10 points Our English teacher gives us a lot of tests, and they're usually difficult. There's a test today, I hope you studied for it. The test is on punctuation, and it's supposed to be difficult. I studied a lot last night, so I think I'll do well. Complete each sentence with the correct preterite or imperfect verb form.____________________ (Llamarse) Barrign porque ____________________ (gustarle) mucho comer. When eleven is added to the product of a number, x and three, the resultis equal to the number that is nine less than five times the same number, x.What is the value of xHelp if you can 2Which statements about humus are true? Choose more than oneanswerIt forms from dead plantsIt collects in bedrockIt fertilizes soilIt contains carbonIt is only found in topsoilIt erodes the rocks in soil Phase portraits (or phase diagrams) provide a powerful tool to visualize the dynamics of ODE systems.a. Trueb. False When rutherford bombarded thin gold foil with a-particles,he found that some a-particles were deflected through large angles. Which statement explains this deflection? What was the result of the Great Depression, and how did the United States recover? How did we prevent it from happening again? Help pleaseee pretty please I will mark you brainliest. NO LINKS OR I WILL REPORT YOU. PLEASE GIVE EXPLANATION.pretttty pleaseee this TIMED How did Indians perceive the decision by Great Britain to allow Christian missionaries to settle in India?A: The Indians saw it as a way to make their own country as wealthy as Britain.B: The Indians saw it as Britain's willingness to corrupt India's young people.C: The Indians saw it as a secretive plan to reduce the size of their population.D: The Indians saw it as Britain's attempt to destroy their culture. name 3 negative impact in the exploitation of minerals In an Antarctic pelagic community, the primary producers are phytoplankton, which serve as food for the dominant grazing zooplankton, especially krill and copepods, both of which are crustaceans.These zooplankton species are in turn eaten by various carnivores, including other plankton, penguins, seals, fish, and baleen whales. Squids, which are carnivores that feed on fish and zooplankton, are another important link in these food webs, as they are in turn eaten by seals and toothed whales (Figure 1). Figure 1: Arrows follow the transfer of food from the producers (phytoplankton) up through the trophic levels. For simplicity, this diagram omits decomposers.Antarctic krill (Euphausia superba) is an important source of food for whales, seals, squid, fish, and many species of birds. Its abundant biomass is one of the largest on Earth. Figure 2 compares the effects of krill harvesting on species richness within two small sections of the Antarctic region; one section was subject to krill harvesting and the other section was not.Describe how the autotrophs facilitates the flow of energy through the Antarctic ecosystem. In the Antarctic pelagic community, there are three types of seals. The leopard seals eat birds, but the crabeater and elephant seals do not. Explain how the interactions between seals and other species may affect their food sources.Identify the independent variable of the data graphed in Figure 2. Explain one way this variable is affecting the biodiversity of the Antarctic food web.Analyze the change in species richness with or without krill harvesting. Predict how the removal of krill from the Antarctic ecosystem will affect its long-term structure.Justify the claim that the Antarctic krill is a foundation species, not a keystone species. Provide evidence to support your claim. the question is in the picture attached. please help!!! Find the slope of the line that goes through the points (-3, 1) and (-17, 2).