You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You feel you can earn an APR of 10.5 percent compounded monthly and plan to save $485 per month until you reach your goal. How many years will it be until you reach your goal and enjoy your well-deserved vacation?

Answers

Answer 1

Answer:

41.8 years

Step-by-step explanation:

From

[tex]A = P(1+r/n)^{nt}[/tex]

A= 39000

r = 10.5%

P = $ 485

n=12

t = the unknown

t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]

t= 10.57 - 6.18/0.105

t= 41.8 years


Related Questions

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?

Answers

Answer:

7 years

Step-by-step explanation:

Let W = number of years they both have to work to make the same amount :

Amount made by Jaylon = 57000

Annual raise = 2500

Titak made after W years :

57000 + 2500w - - - (1)

Amount made by Anita = 64000

Annual raise = 1500

Total made after w years :

64000 + 1500w - - - (2)

Equate (1) and (2)

57000 + 2500w = 64000 + 1500w

2500w - 1500w = 64000 - 57000

1000w = 7000

w = 7000/ 1000

w = 7

Hemce, they'll both earn the same amount after 7 years

PLEASE HELP ME TO SoLVE THIS Questions​

Answers

This is the answer key lol, I was boutha do that math but I was like wait hold up ima js search the paper up. Hope this helps lol

if a box of toffies can be divided among 24 children each will get 4 how many toffies will each get if the number of children is reduced 24​

Answers

Given : A box of toffies can be divided among 24 and children each will get 4 .

To Find : Number of toffies will each get if the number of children is reduced 24

Solution : If toffies are distributed among the children and each child gets 4 , then the total number of toffies will be equal to , 24 × 4 = 96 toffies .

Again it is given that the toffies are redistributed among 24 children . So the number of toffies each will get will be equal to ,

=[tex]\bf \cancel{\dfrac{96}{24}}[/tex]

=[tex]\Large\boxed{\red{\bf 4 }}[/tex]

Hence the required answer is 4 .

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Need help ASAP!! Will give brainliest

Answers

Answer:

yea i know this but imma just give to ya short its A

Step-by-step explanation:

The parallel lines have ---------------- slope.

A. negative reciprocal
B. complementary
C. equivalent
D. opposite

Answers

Answer:

equivalent

Step-by-step explanation:

equivalent because they have to be the same and not intersecting with eachother♡ Hope it helps ;)

C because they have to be equivalent to be parallel

Last question- please answer this!

Answers

The ratio of 11k boys to 9k girls. (We use k as a variable because in ratio question the numbers are the divisors of the original number). We have to subtract 9 from 11, we find 2. Since the original numbers of the boys and girls can be divided by 11 and 9, we can understand that by dividing 124 to 2 we will find the value of k. k = 62 . Then we do the multiplication. 62 . 11 = 682, 62 . 9 = 558. Then we add them to find the TOTAL number of students. 682 + 558 = 1240

James is studying different kinds of weather.

Rain has water drops that are larger than 0.02 inch in diameter.
Small hailstones are less than 14 inch in diameter.
Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.








A


B


C


D


E


F


G


H

Answers

Answer:

i got b and h{i hope this helps}

Step-by-step explanation:

Does (12+6)÷2 and 12+6÷2 have the same answer

Answers

Answer:

No

Step-by-step explanation:

If you go by PEMDAS then you would do whatever is in the parenthesis first, which in this case would be 12 + 6. And then you would divide, so 12 + 6 = 18/2 = 9. In the other equation you would do division first, so that would be 6/2 which equals 3 and then you would add that to 12 which equals 15.

Answer:

No, because it has parentheses. You have to do the parentheses first (cause of order of operations) and the divide, (or based on whatever your step is from order of operations) which your going to get a diff answer.

What is the decimal value of 5/6? I’m learning 7th grade math

Answers

Answer:

.83 repeating

Step-by-step explanation:

okay so all you do is take the top number divided by the bottom =)

Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)

Answers

Answer:

y = 1/-2x + 0 or y = 1/-2x

Step-by-step explanation:

pressions: Practice
Question 1 of 5
Select the correct answer.
Which expression is equivalent to the given expression?
3(x – 7) + 4(x2 – 2x + 9)

Answers

Answer: 14

Step-by-step explanation: Factoring  x2-2x+9  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +9  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 9 = 9  

Step-2 : Find two factors of  9  whose sum equals the coefficient of the middle term, which is   -2 .

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +15  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 15 = 60  

Step-2 : Find two factors of  60  whose sum equals the coefficient of the middle term, which is   -5 .

     -60    +    -1    =    -61  

     -30    +    -2    =    -32  

     -20    +    -3    =    -23  

     -15    +    -4    =    -19  

     -12    +    -5    =    -17  

     -10    +    -6    =    -16  

For tidiness, printing of 18 lines which failed to find two such factors, was suppressed

4x2 - 5x + 15= x=14

Help with number 13. . . . . .

Answers

Answer:

6A, D

Step-by-step explanation:

So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).

Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.

Though, we know b*h is just A so we get 6A.  

Multiply. Enter the product in simplest form.
2/7 x 4/5

Answers

The answer is 8/35 ;)

Using the ordered pair below, what would be it's new location if it were translated with the rule (x - 4. y + 6)?

Answers

Answer:

Where is the ordered pair?

Step-by-step explanation:

look at the photo: please help

Answers

Answer:

3.66666666667

Step-by-step explanation:

I calculated it

Answer:

2 1/3

Step-by-step explanation:

4 + (-1 2/3) = 2 1/3

A square and rectangle have the same perimiter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x. Write and solve and equation to find x.

Answers

Answer:

Square Perimeter = 4(4x-1)

Rectangle Perimeter = 2(2x+1) + 2(x+2)

 

Square Perimeter = Rectangle Perimeter

4(4x-1) = 2(2x+1) + 2(x+2)  

16x - 4 = 4x + 2 + 2x + 4

16x - 4 = 6x + 6

-6x  +4  -6x  +4

10x = 10

x = 1

Step-by-step explanation:

hope that helped?

Enter the correct answer in the box by replacing the values of m and b.

Answers

Answer:

f(x) = -2x + 5  Plato

Step-by-step explanation:

plzz helppp
complete a proof in paragraph form for the alternate interior angles
theorem

given p||q
prove: m<3=m<5

Answers

Answer:

i sowwy

Step-by-step explanation:

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

Answers

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

[tex]10 + 5x=y[/tex]

Now, it is given that his goal is minimum of 50 countries.

So,

[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Good Luck!!!

A pack of 48 water bottles at Costco is $3.95. What is the unit rate price for each water bottle?

Answers

Answer:

use caculator and do 48 divided by 3.95

Step-by-step explanation:

and u will get your answer

Does anyone know how to do this??

Answers

Answer:

Step-by-step explanation:

i'll explain how to do 9), it is the same process for the rest

y = 2x - 1

thus the value of 'y' should be the same as the result of '2x - 1'

when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)

when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)

when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)

so in the table we have

x        2x - 1      y         (x, y)

5          9          9         (5, 9)

2          3          3         (2, 3)

0          1           1          (0, 2)

we can now plot these values on a graph to look like so

HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest


14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35



21. explain how to compare 0.7 and 5/8

Answers

Answer:

14: 1/5, 0.35, 12/25, 0.5, 4/5

17: -2 4/5,-2.6, -2.3

18: -6.0, -0.72, -5/8, -7/12

19: 1.2, 1 1/3, 1.45, 1 1/2

20: -3.0, -0.35, 0.5, 0.55

Fraction Into Decimal:

14: 1/5=0.2, 12/25=0.48, 4/5=0.8

17: -2 4/5= -2.8

18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)

19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)

Explanation:

To start with, you need to convert the fractions into decimals in order to compare them easier

Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line

Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.

Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!

Fill in the blank
A _______ equation is an equation whose graph is in a line.
Y divided by x equals ___________ proportionality.
A ____________ relationship has a constant rate of change and goes through the origin.
On a coordinate grid, the point (0,0) is called the ___________.
A ____________ relationship may have a constant rate of change but does not go through the origin.
plz help this is part of my homework i already did most of it but i could not remember this TwT

Answers

A linear equation is an equation whose graph is in a line.
On a cordon are grid the point is 00 is called the origin .

Which of the statements below is a true statement about irrational numbers?
A.Irrational numbers are numbers whose decimal equivalent is repeating and non-terminating.
B.Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
C.Irrational numbers are numbers whose decimal equivalent is repeating and terminating.
D.Irrational numbers are numbers whose decimal equivalent is non-repeating and non-terminating.

Answers

Answer:

b

Step-by-step explanation:

Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.

Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?

Answers

Answer:

1166 is the answer to your suggestion

If someone can help me on this one as well it would be great.

Answers

An

espera y termino y te ayudo vale que me falta poco

Find the value of X. Then find the angle measures of the polygon.

Answers

Answer:

x=75

The measures of the polygon are 75, 105, 70 and 110.

Step-by-step explanation:

Since the sum of the angles is 360, we can set up an equation, where all the angles add up to 360:

(x-5)+(x+35)+(1.4x)+(x)=360

x-5+x+35+1.4x+x=360

4.4x+30=360

4.4x=330

x=75

Now, to find the angles, all you have to do is plug in 75 for x in every angle:

First angle: 75

Second angle: 1.4*75=105

Third angle: 75-5=70

Fourth angle: 75+35=110

HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE

Answers

Answer:

Sorry if I’m wrong but is it ... 90???

Step-by-step explanation:

Answer:  B) 89

========================================================

Work Shown:

The given list is {95, 89, 99, 85, 82, 81, 99}

Sort this list from smallest to largest.

We then have this: {81, 82, 85, 89, 95, 99, 99}

Next we will erase the first and last items in that sorted list above

Doing so leads to this smaller list: {82, 85, 89, 95, 99}

Repeat the step from before. Erase the first and last items

We now have {85, 89, 95}

One more time lets erase the first and last items getting {89}

This shows that 89 is the very center item

Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)

Therefore, the median is 89.

----------------------------------

Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.

Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4

The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}

Note: this trick only works if you have an odd number of items in a set.

in a survey 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer vanilla ice cream make a prediction?

Answers

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

PLZZZ I NEED HELPP THANK YOU SO MUCH

Answers

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

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