You deposit $2,000 into a bank account that will bay you 4. 8% interest APR ("annual percentage rate") compounded monthly. How much money will you have in 10 years?

Answers

Answer 1

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases} \\\\\\ A=2000\left(1+\frac{0.048}{12}\right)^{12\cdot 10}\implies A=2000(1.004)^{120}\implies A\approx 3229.06[/tex]


Related Questions

I need help on 20. Please e provide step-by-step explanation.

Answers

Answer:

The son is 13 and the father is 39,

Step-by-step explanation:

x= dad's age

y= 1/3x= boy's age

x+y=52

Substitute y=1/3x

x+1/3x=52

1 1/3x= 52

4/3x= 52

Multiply by reciprocal on both sides

(3/4)(4/3x)= (52)3/4)

x= (52*3)/4

x= 156/4

x=39 dad's age

Substitute x answer in to find boy's

y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age

Check:

13+39= 52

Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.

Approximately what percent of the adult pandas weight over 250 pounds?
0.62%
98.61%
1.39%
98.38%

Answers

0.62% of the adult pandas weight over 250 pounds

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)  / standard deviation

Given mean of 200 pounds and a standard deviation of 20 pounds.

For x > 250 pounds:

z = (250 - 200) / 20 = 2.5

P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%

0.62% of the adult pandas weight over 250 pounds

Find out more on z score at: https://brainly.com/question/25638875

help please fast!!!!!!!!

Answers

Answer:

Step-by-step explanation:

If there is only ONE output for each INPUT it can be a function

From top

Y   N  Y Y N Y

b) look at the second one  

      put in 30   days   out put = april jun aug nov    one input 4 outputs

          so it is not a function

One angle of a triangle is twice the second angle. The third angle is three times the second angle. Find each angle

Answers

Angle one is 20 degrees
Angle two is 40 degrees
Angle three is 120 degrees
And the angles add up to 180 degrees the amount needed to create a triangle. Your welcome :)

What is the greatest common factor of 722 and 18?

Answers

Answer:

3 hope it helps

Answer:

2

Solution:The greatest common factor, or GCF, of 722 and 18 is 2.Why? Because 722 and 18 are evenly divisible by 2.722 is not evenly divisible by 3, 6, 9, or 18 (the other factors of 18, except 1, which is a factor of all numbers).Therefore, the GCF is 2.

Hope it helps.

Do comment if you have any query.

What is the value of x in the equation −25x−2=18?

Answers

Answer:

x = -0.8

Step-by-step explanation:

-25x - 2 = 18
-25x -2 - 2 = 18 - 2
-25x = 16
-25x/-25 = 16/-25
x = -0.8

Answer:x=4/5

Step-by-step explanation: First you add two to both sides to cancel out the -2.Next you simplify and add the numbers.Finally, you divide both sides and simplify.

aye what is 2x3x5/7x8

Answers

Answer:

.5357

Step-by-step explanation:

Follow PEMDAS

Multiplication (M) comes before division (D)

Therefore, solve the multiplication expressions first:

2 * 3 * 5 = 30

and

7 * 8 = 56

Now Division:

30 / 56 = .5357

HELLPPPPPPPPPPPP!!!!!!!!!!!!! I NEED HELP I GOT 1 MIN OR LESS

Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 15 feet. Explain or show how you got your answer.

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]

[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]

[tex]\sf\large\underline{\star To\: Find:-}[/tex]

Surface area of the given square pyramid.

[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]

Where,

[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]

[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]

[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)

[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]

Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]

___________________________________

Hope it helps you:)

SOMEONE HELP I NEED THE WHOLE ANSWER WITH WORK FOR TONIGHT

Answers

Answer:

325 or 325/1

Step-by-step explanation:

The formula for slope is:

y1 - y2/x1 - x2

Plugging the numbers in gives you:

40 - 690/0-2

Do subtraction first:

-650/-2

Two negatives make a positive and simplifying the fraction gives you:

325 or 325/1

Whichever makes you happier

(Also, remember that slope is rise/run, which is why it is y/x not the other way around(When graphing you go left/right then up/down))

Hope this helps you :)


The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:


Side of Coin Landed On Heads Tails
Number of Flips 54 46


Which of the following best describes the experimental probability of getting heads?
The experimental probability is the same as the theoretical probability.
The experimental probability is 4% lower than the theoretical probability.
The experimental probability is 4% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.

Answers

Answer: Answer:  Third option is correct.

Step-by-step explanation: Step-by-step explanation:

Since we have given that

Number of heads = 56

Number of tails = 44

Total number of flips = 100

So, Probability of getting head is given by

Theoretical probability of getting head is given by

There is a difference of

0.54-0.50=0.04 = 4%

Hence, the experimental probability is 4% higher than the theoretical probability.

Therefore, Third option is correct.

Answer:

The experimental probability is 4% lower than the theoretical probability.

Step-by-step explanation:

because i took this before and got it right

PLEASEE HELPP
Explanation and correct=BRAINLIEST!!!!

Answers

Answer: B. The ball is less likely to be a racquetball than a golf ball.

Step-by-step explanation:

Imagine a bin. You are storing different sports balls in the bin. You put 20 baseballs, 24 golf balls, 9 tennis balls, and 6 racquetballs in the bin. Can you name which ball is most likely to be chosen if you grabbed one out at random? The answer is the golf ball.

This is because there are more golf balls than any other type of ball. For example, there are 24 golf balls, yet there are only 20 baseballs. This means that you are more likely to pick a golf ball.

Remember that there are 6 racquetballs while there are 24 golf balls. There are 4 times more golf balls than racquetballs in the bin. This means that you are 4 times more likely to pick a golf ball than a racquetball when you take a ball out of the bin at random.

Since there are many more golf balls than racquetballs, you are more likely to grab a golf ball than a racquetball. This means that the ball is less likely to be a racquetball than a golf ball.

(If you are confused, imagine freshly baked cookies. You cooked 12 cookies.

8 cookies are chocolate chip

3 cookies are oatmeal raisin

1 cookie is peanut butter.

If you grab a cookie at random, with your eyes closed, you are most likely to pick the chocolate chip cookies. This is because there are more chocolate chip cookies than oatmeal raisin cookies or peanut butter cookies)

Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° angle from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Question 9 options:
Plane A because it was 20.71 miles away
Plane A because it was 27.43 miles away
Plane B because it was 16.79 miles away
Plane B because it was 26.39 miles away

Answers

Answer:

Plane A because it was 27.43 miles away

Step-by-step explanation:

~Kandy~

hope this helped!

brainliest please!

lol, just answered my own question.

An arts and crafts store has a crate that contains glass, wood, and brass beads

Answers

Answer:

You're going to need more to this question

Step-by-step explanation:

what is the rest of it

The frequency table shows the ages of the actors
in a youth theater group. What percent of the
actors are 10 to 12 years old?

Answers

The percentage of youth that are category 10 to 12 is the quotient of  their frequency to the total frequency

55% of the actors are 10 to 12 years old

How to determine the percentage?

From the complete question, we have the following parameters

Age 10 - 12 = 22 youthsTotal youth = 40

The percentage of youth in the age category 10 - 12 is then calculated as:

Percentage = Frequency of age category 10 - 12/Total frequency

This gives

Percentage = 22/40

Evaluate the quotient

Percentage = 55%

Hence, 55% of the actors are 10 to 12 years old

Read more about frequency tables at:

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Janny went to the library at 3:45pm and left at 7:45 pm. How long was she at the library?

Answers

given:

went at 3:45 PM

left at 7:45 PM

to find:

the duration she was at the library.

solution:

( to find the duration just find the difference of the time she left and she went.

= 4 hours

so, she was at the library for 4 hours.

2 A cone has a volume of 1086 and a base diameter of 12. What is the height of the cone? (1) 27 (3) 3 (2) 9 (4) 4​

Answers

well, if its base has a diameter of 12, that means its radius is half that, or 6.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ V=1086 \end{cases}\implies 1086=\cfrac{\pi (6)^2 h}{3}\implies 3528=36\pi h \\\\\\ \cfrac{3528}{36\pi }=h\implies 31.19\approx h[/tex]

28
A principal gathered data about the distance, in miles, that his teachers and bus drivers
live from the school. The box plots below show these data.
DISTANCE FROM THE SCHOOL
Bus Drivers
Teachers
10 15 20 25 30 35 40
Distance from School (miles)
Based on the box plots, which statement is true?
A
The interquartile range of the distances for the bus drivers is twice the
interquartile range of the distances for the teachers.
B
The range of the distances for the teachers is twice the range of the distances for
the bus drivers.
The interquartile range
of the distances for the bus drivers is 5 miles less than the
C
interquartile range of the distances for the teachers.
D
The range of the distances for the teachers is 5 miles less than the range of
the
distances for the bus drivers.

Answers

[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

C

Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

100 POINTS AND BRAINLIEST!!!! SHOW YOUR WORK!!!!!!!!


Solve for x to the nearest tenth.

Answers

Answer:

I got x= 57 degree

Step-by-step explanation:

Steps in the photo-

Answer:

57 degree

Step-by-step explanation:

Like what he said.

i need help ASAP worth 100Pts

Answers

#b

Attached

#a

y=x²y=2(x-2)²+1

So

General equation of parabola

y=a(x-h)²+k

let's note the changes

The value of a is changed from 1 to 2 ,hence change in focus .x² is turned to (x-2)² ,hence change in x axis (2 units right)+1 is added hence the y coordinate of vertex goes 1 units up .Vertex of first one is at (0,0) but second one is at (2,1)

Answer:

Transformation of f(x) to g(x):

Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit up

(see attachment for graphs)

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\!\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

Parent function:

[tex]f(x)=x^2[/tex]

Translated 2 units to the right:

[tex]\implies f(x-2)=(x-2)^2[/tex]

Stretched vertically by a factor of 2:

[tex]\implies 2f(x-2)=2(x-2)^2[/tex]

Translated 1 unit up:

[tex]\implies 2f(x-2)+1=2(x-2)^2+1[/tex]

Therefore, the transformation of f(x) to g(x) is:

Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit up

Learn more about translations here:

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Find mIJ
A. 100°
B. 110°
C. 150°
D. 2500

Answers

Answer:

c is the answer  try C

Step-by-step explanation:

According to the calculator, by year 10, the majority of demarco and tanya’s payment will go toward the . by year 20, the majority of demarco and tanya’s payment will go toward the . over time, the amount paid toward the principal will .

Answers

The correct options are interest, principal, increase.

According to the calculator, by year 10, the majority of demarco and Tanya’s payments will go toward the. by year 20, the majority of demarco and tanya’s payments will go toward the.

over time, the amount paid toward the principal will.

1. interest

What is the meaning of interest?

Interest is a fee paid for borrowing money or other assets

2. principal

3. increase

Therefore the correct options are interest,principal,increase

To learn more about the amount paid visit:

https://brainly.com/question/26670496

According to the calculator, by year 10, the majority of Demarco and Tanya’s payment will go toward the

✔ interest

.

By year 20, the majority of Demarco and Tanya’s payment will go toward the

✔ principal

.

Over time, the amount paid toward the principal will

✔ increase

.

Rosa earns $120 per week tutoring math. Each week, she puts 36$ from her paycheck in a bank account to save for college. Find the amount Rosa saves out of $100.

Answers

Answer:

30

Step-by-step explanation:

You can do 36*100=3600 and do 3600/120. This is a very simple way to get 30 out of 100

Answer: $30

Step-by-step explanation: If she saves $36 when she earns $120, then she saves *amount =36/120 ×100

Amount saved with $100 earning is $30

A map of the United States is displayed in the classroom with a scale of

0.25

how long the
drawing would be of a road that is 10 miles long.

A. 0.025 cm
B. 0.25 cm
C. 2.5 cm
D. 25 cm

Answers

The answer that I got was C.2.5

If a person who is 5. 5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.



x y

0 5. 5

1 7. 35

2 8. 9

3 10. 15

4 11. 1

5 11. 75


Which quadratic equation models the data in the table?

y= −0. 25x2 + 2x + 5. 5

y= −0. 35x2 + 2x + 5. 5

y= −0. 27x2 + 3x + 5. 5

y= −0. 15x2 + 2x + 5. 5

Answers

The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5

How to determine the quadratic model?

A quadratic model is represented as:

y = ax² + bx + c

Using the point (x,y) = (0,5.5);

We have:

a(0)² + b(0) + c = 5.5

This gives

c = 5.5

Substitute c = 5.5 in y = ax² + bx + c

y = ax² + bx + 5.5

Using the point (x,y) = (1,7.35);

We have:

a(1)² + b(1) + 5.5 = 7.35

This gives

a + b + 5.5 = 7.35

Subtract 5.5 from both sides

a + b = 1.85

Using the point (x,y) = (2, 8.9);

We have:

a(2)² + b(2) + 5.5 = 8.9

This gives

4a + 2b + 5.5 = 8.9

Subtract 5.5 from both sides

4a + 2b = 3.4

Divide through by 2

2a + b = 1.7

Subtract a + b = 1.85 from 2a + b = 1.7

2a - a + b - b = 1.7 - 1.85

This gives

a = -0.15

Substitute a = -0.15 in 2a + b = 1.7

-2 * 0.15 + b = 1.7

This gives

-0.3 + b = 1.7

Add 0.3 to both sides

b = 2

Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5

y = -0.15x² + 2x + 5.5

Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5

Read more about quadratic equations at:

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#SPJ1

The table shows a schedule of inga’s payment plan for a car. inga’s payment plan for the first 3 years year balance monthly payment end of year balance 1 $19,691.28 $273.49 $16,409.40 2 $16,409.40 $273.49 $13,127.52 3 $13,127.52 $273.49 $9,845.64 how many more years will it take inga to pay off the loan? 2 years. 3 years 4 years 6 years

Answers

Inga needs 3 more years to pay off the whole amount.

What is the monthly payment?

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76

Remaining balance after payment (5 years)  = 6563.76-3281.99  = 3281.88

Remaining balance after payment (6 years) =3281.88-3281.88  = 0

Hence, Inga needs 3 more years to pay off the whole amount.

To know more about monthly payments click the link given below.

https://brainly.com/question/26353929

Answer:

3 years

Step-by-step explanation:

I did the test.

E-DG-E

Find the value of cos 0 if sin 0 = 4/5 and O is in the first quadrant.

Answers

we know that sin(θ) is 4/5, and we also know that θ is in the I Quadrant, where sine and cosine are both positive, so

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-4^2}=a\implies \pm 3=a\implies \stackrel{I~Quadrant}{+3=a}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}[/tex]

pls help

ps it says to show all work

Answers

Answer:

18

Step-by-step explanation:

x =27-9

=18

I hope it's helpful for you

Trees that are cut down and stripped of their branches for timber are

approximately cylindrical. A timber company specializes in a certain type

of tree that has a typical diameter of 50 cm and a typical height of about

10 meters. The density of the wood is 380 kilograms per cubic meter, and

the wood can be sold by mass at a rate of $4. 75 per kilogram. Determine

and state the minimum number of whole trees that must be sold to raise

at least $75,000. *

Answers

From the calculations, the number of whole trees that can be sold at $75,000 is 21 trees.

What is density?

Density is defined a the mass per unit volume. Now we have the following;

Diameter = 50 cm or 0.5 m

height = 10 meters

volume = ?

Density of the cylinder = 380 Kg/m^3

Now;

We can get the volume from;

V = πr^2h

V = 3.142 * (0.5/2)^2 * 10

V = 1.96m^3

From;

D = m/V

m = DV

m = 1.96m^3 * 380 Kg/m^3

m = 744.8 Kg

If 1 Kg of wood is sold at $4. 75

744.8 Kg is sold at 744.8 Kg  *  $4. 75/  1 Kg

= $3537.8

Number of whole trees to be sold at $75,000=  $75,000/$3537.8

= 21 trees

Learn more about density:https://brainly.com/question/15164682

Akira's dog will be having four puppies. Akira performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
The results of the simulation are:
1. THHT 6. HHHT
2. HTHH 7. HHTT
3. HTTH 8. THTH
4. TTTH 9. HHTT
5. TTTH 10. HTHH
What is the estimated probability that at least two of the puppies will be
female?

Answers

Answer:

u didnt put the anwsers but its 80% percent now can i have brainliest pls ty

Step-by-step explanation:

What is the equation of the line that passes
through the point (3, 1) and the point (6,-1)?

Answers

Answer:

C.

Step-by-step explanation:

Hope this helped!

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