If
you
invest $100 in an index fund that earns an average annual rate of
return of 12.3% compounded monthly. You make a regular monthly
contributions of $25, how much will your investment be worth in 52 years?

Answers

Answer 1

Answer Interest rate = 12.3%

The compound interest formula is given by:

Where

A = Future amount

P = Present amount (Principal amount)

r = Interest rate in decimal form

n = No. of times compounded per year

t = time in years.

We can say that if:

Present amount = P

Future amount = 3P

r = 12.3/100 = 0.123

n = 1

t = ?

Substitute the values in the formula of compound interest:

Taking log on both sides.

Round off to nearest option

t ≅ 9 years


Related Questions

Can somebody, anybody please helppp
Simplifiy the expression.
x^2 + 3x - 28/ x^2 - 7x + 12
show your work! (this part is REALLY important) thanks(:

Answers

Answer:

Step-by-step explanation:

3x3 then 4 x v ?

Help me please (I need write more something in order to I can submit answer)​

Answers

Answer:

The answer is 4

Step-by-step explanation:

(-2.4)(10) / -3(2)

-24/-6

=4

Answer:

The answer will be 4! Hope this helps

Help help help help math math

Answers

Answer:

<4 = 67 degrees

Step-by-step explanation:

Find <3

30+37+x=180

subtract 37 and 30

x = 180 - 30 - 37

x = 150 - 37

x= 113

Find <4

180 - 113

67

67 degrees im not completely sure tho but this is probably the answer

Help with number 2

No links
No jokes to just get points

Answers

Answer:

A. Circle  -2.5x and 1.7x list x  B. List t and s C. Circle 15k and 2/5k list k and m

Step-by-step explanation:

You do it??

Factor the expression completely: 4x - 48
-
A) 2x - 12
B) 2x - 48
C) 4(x + 12)
D) 4(x - 12)

Answers

Answer:

D

Step-by-step explanation:

D) 4(x-12) because math

why do we learn about history? we are kids we can make a war

Answers

Answer:

Because if you didn't you would not know anything about the past.

Step-by-step explanation:

Yes

We learn about history because u need to know what went on back in the old days because u never know if it’s going to happen again like the war it might happen again really soon

Which graph or graphs show that a 5 minute phone call costs $4?

Answers

The graph should show an increase of $ 0.80 for every minute that the call lasts.

A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:

4/5 = X 0.80 = X

Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.

Learn more about maths in https://brainly.com/question/25834039

Answer:

Step-by-step explanation:

Please help me on this!!! I’d really appreciate it!!!

Answers

Answer:

B

Step-by-step explanation:

Solve 2x2 – 6x + 10 = 0 by completing the square.

A)

x = 3∕2 + i , x = 3∕2 – i

B)

x = 3 + i, x = 3 – i

C)

x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i

D)

x = 3 + i, x = 3 – i

Answers

Answer:

The answer is C.)

Step-by-step explanation:

I hope its help Please let me know.

Cube A has an edge length of 3 inches. Cube B has an edge length double that of Cube A.

What is the volume, in cubic inches, of Cube B?

A. 27in^3

B. 36in^3

C. 216in^3

D. 729in^3

Answers

Answer:

216

Step-by-step explanation:

Cube A volume

3*3*3=27

Cube B volume

6*6*6=216

Edge length of cube B=2(3)=6in

Volume:-

[tex]\\ \sf\longmapsto V=(6)^3[/tex]

[tex]\\ \sf\longmapsto V=6(6)(6)[/tex]

[tex]\\ \sf\longmapsto V=216in^3[/tex]

Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts

Answers

so (95/9)x2x60 Cal used in (1/9)x60 mile run in 2 hr or 120 min
95/9= about 10.5 cal/min
1 cal= 4.2J/S
(10.5 x 4.2)/60= 0.735 watts

3. Use proportional reasoning to answer the following question.
When buying an item, discount is always taken off
before applying tax. How much does a $1200
phone cost with a 35% discount and 10% tax?

Answers

Answer:

5000

Step-by-step explanation:

I took the test so that's how I know

Elizabeth buys a package of 360 marbles. she gives away 216 of the marbles. what percent of the marbles did Elizabeth give away. SHOW WORK

Answers

Answer:

60%

Step-by-step explanation:

216/360 = 0.6

0.6 *100 = 60

60%

The percent of the marbles did Elizabeth give away is 60%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.

Now, the percentage is 216/360 ×100

= 0.6×100

= 60%

Therefore, the percent of the marbles Elizabeth give away is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

At what rate would $1,200 earn $96 in 8 years?

Answers

Ur getting scammed lol but if you are looking at a constant term of a flat amount added each year, then the answer would be 96/8 and that would equal 12 so 12 dollars a year.


But if you are looking for yearly increase percentage wise then, first we would put out an equation, 1296 = 1200(x)^8= you would then put it into a calculator because the eighth root is omega hard to calculate, but the end answer is
1.009667

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Formula for a converging infinite series. a1 is the first term and r is the common ratio.

A. 4
B. 1.33
C. 5.33

Answers

Answer:

4

Step-by-step explanation:

This is an infinite geometric series. This has a sum of  

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

Mr. Henry planted 15 mango trees in his garden this morning. That is 25% of
the trees he is going to plant. How many mango trees is he going to plant in
all

Answers

25 times 4 is 100 so 15 times 4 is 60. Answer is 60

Answer:
60 mango trees

Explanation:

The 15 mangos is the 25%
The 25% is equals to one fourth of 100
That means 15 mangos is only one fourth of a whole
To solve our problem on how many mango trees he is going to plant in all
Multiply 15 to 4, because 15 is the one fourth
15 × 4 = 60

66=3x

simplify your anwser as much as possible

Answers

Answer:

x =22

Step-by-step explanation:

66/3 =22

pls give me brainlies

The scale of a blueprint is 3 inches : 10 feet. On the blueprint, a house is 9 inches
a
long. What is the length in feet of the actual house?

Answers

Answer:

30/5=68x6=48 feet

Step-by-step explanation:

divide the demesions

Which of the following equations contains the point (8, 5) and is perpendicular to the line y = 2x − 3?

Answers

Answer:

[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

Step-by-step explanation:

Given that the reference line is y = 2x - 3, with a slope of  [tex]m_{reference} \ = \ 2[/tex].

We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,

[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].

Thus,

[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]

Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is

[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​

Answers

Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])

[tex]\frac{30-14}{2-1}[/tex]

[tex]\frac{16}{1}[/tex]

16

1 42.6×37.2 =
2 99.2×48.5 =
3 246.3×9.67 =
4 68.54×24.4 =
5 123.86×31.5 =





Please i need answer​

Answers

Answer:

1) 1584.72

2) 4811.2

3) 2381.721

4) 1672.376

5) 3901.59

Step-by-step explanation:

#keep learning:)

Dan takes an airplane to visit his parents. He pays the airline a total of $450. The cost of the ticket is $315. The airline also charges $15for every pound that the luggage goes over the 50 pound is Dan's luggage over the 50 pound limit?

Answers

Answer:

9

Step-by-step explanation:

Start with the total amount Dan paid and subtract the part of the payment that is for the ticket.

450-315=135

Assuming that all of that $135 was for luggage fees and each pound over the limit costs $15, then the question is, how many times did Dan pay $15 until he'd paid the full $135 luggage fee.

So divide $135 by $15.

135/15=9

So his luggage weighted 59 pounds, which is 9 pounds over the limit.

The length of one ramp is 16 feet. The vertical rise is 5 feet. Use pythagorean theorem to estimate the ramp’s horizontal distance. (round to the nearest tenth of a foot) *

Answers

Answer:

The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first. 1 feet makes 12 inches Hence 16 feet makes 192 inches. From pythagoras a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance. So we have (192)^2 = (14)^2 + c^2 C^2 = 192^2 - 14^2 = 36668 C = 191.48 From SOHCAHTOA. We have to use Sin So sin theta = (14/192) Theta = sin^(-1) (14/192) = 4.1815. Yes, it meets the FAC standard since the ramp's angle is less than 4.78

Step-by-step explanation:

Harry is riding a train that goes 70 miles an
hour. How far will he travel is 3.5 hours?

Answers

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

Harry will travel 24.5 miles

(70) (3.5) = 24.5

I WILL GIVE BRAINLY!!!
-x - 8 ≤ 16
Please answer! Is the answer 24 or -24?
My last inequality before I got my answer was : -x ≤ 24.
But as we know if there is a varible that has no number associated with it we assume that the number for it is just one, but in this case -x would be -1x. So if I divide -1x/-1 that would be x, but if I divide 24/-1, that would be -24. So in the end someone just tell me if it's 24 or -24?!

Answers

Answer: The answer is X ≥ -24.

Explanation in the image.

Question 9
The probability that a vehicle will change lanes while making a turn is 55%.
Suppose a random sample of 7 vehicles are observed making turns at a
busy intersection.
Calculate the expected value.

Answers

Answer:

3.85 (rounded to 4 cars)

Step-by-step explanation:

Let X be the discrete random variable the number of vehicles changing lanes

X~B(7, 0.55)

The expected value is found by:

E(X) = 7 × 0.55

E(X) = 3.85

Who invent natural numbers???​

Answers

Answer:

  nobody

Step-by-step explanation:

Humans have made use of natural numbers as long as humans have been around. Counting numbers are wired into our consciousness, as they are for many living things.

Research has demonstrated some plants can count up to 5 (generally, carnivorous ones). Honeybees have long been known to be able to count to 4, and recent research shows they can count higher. Fish can count; birds can count; as can many other species.

For most, it takes concentration and/or training to count beyond 4. We are born with an understanding of 1, 2, 3, more.

Nobody "invented" natural numbers.

_____

Additional comment

Prey species survive by being able to count predators. Some predators take advantage of the limitations of number recognition by hunting in groups larger than can be readily counted.

Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.​

Answers

Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.

(x+2) (x+10) - (x-5) (x+4).put value of x= -3

(-3+2) (-3+10) - (-3-5) (-3+4).-1 x 7 -(-8) x 1(-7) -(-8)-7+81

Answer:

the result is -9

Hope this helps

Please mark brainlest

Nadia is a stockbroker. She earns 12% of commission each week. Last week, she sold 4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

Answers

Answer:

540 last week

52X540.=$28,080 a year

Step-by-step explanation:

cant seem to figure this out​

Answers

Answer:

log14=1.146

log18=1.255

Step-by-step explanation:

Use log rules to break up the given logs, to be able to use the information give

Using the product rule, log14 = log(7 x 2) = log7 + log2

Substitute .845 + .301 = 1.146

Using the quotient rule, log18 = log(2 x 3 x 3) = log2 + log3 + log 3

Substite .301 + .477 + .477 = 1.255

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