Soojeong estimates that it is going to take $180,000 to send her new born baby to college. She would like to start an annuity so that she can have $180,000 after 18 years. If the account earns 5.5% interest compounded monthly, how much must she put in each month?

Answers

Answer 1

Answer:

Monthly deposit= $489.59

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $180,000

Number of periods (n)= 18*12= 216

Interest rate (i)= 0.055 / 12= 0.004583

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (180,000*0.004583) / {[(1.004583)^216] - 1}

A= $489.59


Related Questions

Plz help, will give brainliest.

Answers

Answer:

1) X = 10 Therefore, 10 + 2 + 10 = 22.

2) B = 2 Therefore, 15 = 8(2) - 5 + 2(2)

3) B = -0.9 Therefore, -10 + 4(3(-0.9) + 10) = 19.

Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?

Answers

Options:

A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22

Answer:

A. 18, 20, 20, 22, 25

Step-by-step explanation:

Required

Which list has a mean of 21 and median of 20

Each of the list have 5 numbers and they've all been sorted.

The median is the number at the 3rd position (i.e. the middle number)

So, list C and D are out because they do not have a median of 20.

Next, calculate the mean of lists A and B

[tex]\bar x = \frac{\sum x}{n}[/tex]

A. 18, 20, 20, 22, 25

[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]

[tex]\bar x = \frac{105}{5}[/tex]

[tex]\bar x = 21[/tex]

B. 20, 20, 20, 25, 25

 [tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]

[tex]\bar x = \frac{110}{5}[/tex]

[tex]\bar x = 22[/tex]

Only list A has a median value of 20 and a mean value of 21

A group of 12 students participated in a dance competition. Their scores are below:


Score (points)

1


2


3


4


5


Number of Students

1


2


4


3


2


Would a dot plot or a histogram best represent the data presented here? Why? (3 points)


Group of answer choices


Histogram, because a large number of scores are reported as ranges


Histogram, because a small number of scores are reported individually


Dot plot, because a large number of scores are reported as ranges

Answers

Answer:

put a picture please so i can understand better

Answer:

The answer is A

Step-by-step explanation:

i have done this and got 100 :0

YO PLEASE HELPPPPPPPPPPPPPPP

Answers

Answer:

the second, and fourth one's are triangles, and the 1st and 2nd are not

Step-by-step explanation:

We know that the angles in a triangle add up to 180 degrees. So we need to find which angles add up to 180 degrees. We have:

56+34+42=132

That means the first one can't be a measures of a triangle.

75+55+50=180

Second one is a triangle.

35+32+23=90

Third isn't a triangle

124+64+16=180

So all in all, the second, and fourth one's are triangles, and the 1st and 2nd are not


Given that m<6=72 and m<14=72 determine which lines are parallel

Answers

Answer:

Lines m and n are parallel.

Step-by-step explanation:

< 6 and < 14 are both equal to 72 degrees and they are corresponding angles for lines m and n.

The points where a graph crosses the x- and y-axis are called the __

Answers

Answer:

x-intercept

y-intercept

Step-by-step explanation:

Answer:

x-intercept y-intercept

Helpppp! I’ll mark brainliest

Answers

Answer:

1 is comutative 2 is distributive 3 is addition and 4 is multiplication

The math club is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T-
shirts
If P() is the profit that the math club makes for selling T-shirts, a reasonable domain of this function is
<

Answers

Answer:

2 < or equal to (t) < or equal to 1000

Step-by-step explanation:

2 is the profit of the (t) amount of t shirts so the amount should be greater than or equal too 1000 because if they have 500 shirts 500 x 2 is 1000

The domain of this function will be given by the set A[1, 500].

What is the end behaviour of a function? What do you mean by domain and range of a function?

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the math club which is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T- shirts.

The function representing the profit by selling [x] T - shirts can be written as -

P(x) = 2x

or

y = 2x

Maximum value of y = 2x 500 = $1000

The domain of this function will be given by the set A[1, 500].

Hence, the domain of this function will be given by the set A[1, 500].

To solve more questions on functions, visit the link below -

brainly.com/question/1632425

#SPJ2

I’ll give brainless to who ever respond correctly and fast

Answers

Answer:

34cm squared

Step-by-step explanation:

Formula: 2(WL+HL+HW)

(2*5) + (1*5) + (1*2) = 10 + 5 + 2  = 17 17*2 = 34

Answer:

34

Step-by-step explanation:

2(wl+ hl+hw)

2(10+5+2)

= 34

Find the value of x that makes the equation true:

16 - x = 4

x = 18
x = 20
x = 14
x = 12

Answers

16 - x = 4
16 - 12 = 4
x = 12
Find the value of x that makes the equation true:

16 - x = 4


x = 12

What is the mode of the data set? {102, 102, 100, 94, 102} Enter your answer in the box.

Answers

Answer:

102

Step-by-step explanation:

The mode is the number that appears the most in the data set. 102 appears 3 times while the others only once

convert 123 percent into fraction​

Answers

Hopes this helps:

Answer: 123/100

1. 123% means 123 out of 100

1.23 is a decimaland 123/100 OR 123% is the percentage for 123/100.

HOW TO WRITE 123/100 AS A DECMAL?

Step-by-step explanation:

Fraction=123/101

Decmial=1.21782

percentage=121.782%

Someone please help me the question is up there

Answers

Answer:

X= -2, -1, 0, 1

Step-by-step explanation:

X can be all of those

-2  ≤ X - this means that X is greater than -2 or equal

X< 2 - This means X is less than 2

so you find all the # from -2 to 1 because that is the number less than 2 so

-2, -1, 0, 1

is 0.2857 a rational number?Explain

Answers

Answer:

0.2857 is not a rational number.

Step-by-step explanation:

Because rational numbers have to be greater than 1. Decimals are not over 1 so it is not a rational number. Your welcome!

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

Step-by-step explanation:

just need to find half of the circumference

X/8 < -1 please help

Answers

Answer:

x<-8

Step-by-step explanation:

x/8<-1

x<-1×8

x<-8

Find the volume of the following. Round to nearest hundredths place:
Use 3.14 for II
+
7 mi
2 mi

Answers

Answer:

volume of cone=1/3×pi×r²×h

volume of cone =1/3×22/7×(2mi)²×7mi

volume of cone =29.32mi³

A neighborhood in Shiloh is building a treehouse. It has a rectangle floor of 6 ft by 4 ft. What is the area of the tree house floor?

Answers

Answer:

24

Step-by-step explanation:

Shiloh is building a tree house

It's measurement is 6ft by 4ft

Therefore the area can be calculated as follows

= 6×4

= 24

Hence the area of the rectangle is 24

Greg’s backyard is 47 feet wide. How many yards and feet is this?

Answers

Answer:

15 yards amd 3 feet.

Step-by-step explanation:

I wish to get extra three points :)

Answer:

This is 15 yards and 3 feets.

I would just like some solving steps or the answers.

Answers

Ooooooooooooooooooooh

Which mapping represents y as a function?

Answers

Answer:

a

Step-by-step explanation:

Answer: J

Step-by-step explanation:

PLZZZ HELPPP BRAINLIESTT

Answers

Answer:

1. 4 less than x

2. v = 15.00n

Answer:

4 minus x and v = 15.00n

Step-by-step explanation:

Given a ≠ ± b and (a^2-b^2) / (a+b)=12 find a-b.
(I will give brainliest for helpful answers. Please don't put a link in the answer box.)

Answers

Answer:

[tex] \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } [/tex]

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

[tex] \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } [/tex]

HHHHHHHHHHHHHELLLLLPPPPPPP ME PLS PLS PLS a school wants to add a new sports team. The school sent out surveys asking for the​ students' favorite sport. seventeen students named swimming. Others named hockey or volleyball . Use pencil and paper. Explain how to use the circle graph and ratios to find the number of students surveyed. Then find this number.

Answers

Answer:

Total 100% or 25 students

Swimming 36%  or 9 students

Lacrosse 48%  or 12 students

Volleyball 16% or 4 students

Step-by-step explanation:

To do a circle graph, you draw a circle and divide it into all sections.

To know the size of each section, you need to know the total number of every category.

You could draw it with percent.

100% is total, and you know the percent of each sport.

They told you 12 students choose lacrosse so, this represents 48%.

Now, you can find the other numbers with cross-multiplication.

48%____12

100%____X=

X=(100x12)/48=25

Total students: 25

Students that named lacrosse: 12 or 48%

100%____25

16%____X=

X=(16x25)/100=4

Students that named Volleyball: 4 or 16%

100%____25

36%____X=

X=(36x25)/100=9

Students that named Swimming: 9 or 36%

To confirm: 12 + 9 + 4 = 25

Brainlist Pls!

Answer:

50

Step-by-step explanation:

On May 1, you sign a $1000 note with simple interest of 8.5% and a maturity date of December 19. You make partial

payments of $475 on June 2 and $200 on November 4. How much will you owe on the date of maturity?

A) $355.79

B) $354.39

C) $359.53

D) $358.96

Answers

Answer:

The amount to be repaid is $379.26.

Step-by-step explanation:

Period of note from May 1 to December 19 = 233 days

Amount of note or principal = $1,000

Simple interest rate = 8.5%

Maturity date = December 19

Repayments:

June 2 = $475

Nov. 4 =  $200

Total paid $675

Simple interest = $54.26 ($1,000 * 8.5% * 233/365)

Total amount to be repaid = $1,054.26

Total amount repaid =               675.00

Balance to be paid on maturity $379.26

Can I get help with number 19

Answers

Answer:

D

Step-by-step explanation:

x = 2 and y = -7

Plug those values into the equation:

2(2) - (-7) = 11

Mr clay has 75 geese and 125 turkeys. what is the ratio of the number of geese to the total number of birds in the simplest form

Answers

Answer:

3/8

Step-by-step explanation:

125+75= 200

75:200= 3/8

3/8 is  the ratio of the number of geese to the total number of birds in the simplest form.

Point B has coordinates (1,2). The x-coordinate of point Ais - 11. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?

Answers

This is a famous triangle ( 5 -12 -13)
So y1= -7

Can someone answer all of them? Tysm!​

Answers

In a river bank

you can put the answers from the end

1.) 1/12

2.) 2/13

3.) 8/41

4.) 1/4

5.) 11/74

6.) 2/35

7.) 15/58

8.) 5/18

9.) 1/7

10.) 1/13

which relation is also a function

Answers

A, as the x doesn’t repeat itself
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