A problem is listed below. Identify its type.
Julie's parents' 25th anniversary is in 2 years. She'd like to give her parents a vacation package for their anniversary. She anticipates the vacation package will cost her $2000. An account at her bank pays 5% per year compounded monthly. How much does she need to deposit today in this account, so that she can buy the package deal for her parents' anniversary?
a) Simple Interest
b) Future Value with compound interest
c) Future Value with simple interest
d) Effective Rate
e) Present Value with compound interest

Answers

Answer 1

Answer:

e) Present Value with compound interest

Step-by-step explanation:

in order to determine how much money does Julie need to deposit we have to use the present value formula with compound interest:

present value = future value / (1 + i/12)ⁿ

future value = $2,000i/12 = 5%/12 = 0.4167%n = 24

$2,000 = present value x (1 + 0.4167%)²⁴

present value = $2,000 / (1 + 0.4167%)ⁿ = $1,810.05

you can also calculate it using the future value formula, but you will end with the present value formula:

future value = present value x (1 + i/12)ⁿ

present value = future value / (1 + i/12)ⁿ ⇒ you are adding 1 more step

you could also calculate it using the present value formula and the effective annual rate:

effective rate = (1 + 0.05/12)¹² - 1 = 5.1162%

present value = $2,000 / (1 + 5.1162)² = $1,810.05 ⇒ but again you are just adding more steps into the process


Related Questions

R - 27 / 6 = 7
SOLVE FOR R
PLEASE I WILL GIVE THE HIGHER POINTS

Answers

Answer:

R=28.15

Step-by-step explanation:

R-27\6=7

6R-27=7

6R=7+27

6R=34

R=34÷6

R=28.15

Yes I believe the person above me is correct

Please please please help quickly!

Answers

Um th eanswer is 56-64-34-3402-30 = 19038

which number are composite numbers-49,35,32,41,47

Answers

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

A game show awards 30 points for each correct answer and deducts 50 points for each incorrect answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is their final score?

Answers

Answer:

-10

Step-by-step explanation:

He got -100 points for 2 incorrect answers

And got 90 points for correct answers

so final score is -10

2 1/7 divided by 1 2/5

Answers

The answer to the problem would be 5/7. Hope this helps.

HELP!!!!i will give BRAINLIEST

Answers

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.

Answers

Answer:

30 laps

Step-by-step explanation:

Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps

I don’t understand plz help me

Answers

Answer:

C×6=D

Step-by-step explanation:

You don't know her me calculators they have or they bought so you take C for the calculators multiply by 6 and D is the product or answer.

Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)

Answers

Answer:

RGB. RBG, BRG, BGR, GBR, GRB

Step-by-step explanation:

Given

R, G and B

Required

List all possible arrangement

First, we need to calculate the number of arrangement

There are 3 letters and they are to be arranged in order of 3.

So, we have:

[tex]n = 3[/tex] and [tex]r =3[/tex]

Number of arrangement is:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]

[tex]^3P_3 = \frac{3!}{0!}[/tex]

[tex]^3P_3 = \frac{3*2*1}{1}[/tex]

[tex]^3P_3 = \frac{6}{1}[/tex]

[tex]^3P_3 = 6[/tex]

Hence, number of arrangements is 6 and the arrangements are:

RGB. RBG, BRG, BGR, GBR, GRB

Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have

Answers

Answer:

20 pieces of rope

Step-by-step explanation:

Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.

5 x 4 = 20 pieces of rope.

I hope that this helps! :)

1/x+x/2=11/6 transformable to quadratic equations​

Answers

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

To learn more, visit the link below:

https://brainly.com/question/18251794

Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3

25, 26, 27, 28, ...


Answers

Answer:

29,30,31

this is basically like counting just add 1

Can anybody help me ASAP I’ll give brainlist

Answers

Answer:

c

Step-by-step explanation:

i thought it was c???

dont quote me on this

Please help I have been stuck for 2 HOURS!

TY

Answers


the answer is
slope: - 1/6
y interpret (0,-6)
Ggfccffffffffffffffffff

In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. what is the mean and standard deviation

Answers

Answer:

[tex]Mean = 2392.5[/tex]

[tex]SD = 44.70[/tex]

Step-by-step explanation:

Given

[tex]Students = 14500[/tex]

[tex]p = 16.5\%[/tex]

Solving (a): The mean

Mean is calculated as thus:

[tex]Mean = np[/tex]

[tex]Mean = 16.5\% * 14500[/tex]

Convert % to decimal

[tex]Mean = 0.165 * 14500[/tex]

[tex]Mean = 2392.5[/tex]

Solving (b): The Standard Deviation

Standard deviation (SD) is calculated as thus:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]

Convert % to decimal

[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]

[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]

[tex]SD = \sqrt{1997.7375}[/tex]

[tex]SD = 44.6960568731[/tex]

[tex]SD = 44.70[/tex]

need ASAP!!
Order the events in the correct order from 1 being the LEAST likely to occur to 4 being the
MOST likely to occur.
flipping a fair coin and having the
coin land with the tails side facing
up
spinning a spinner with 8 equal
sections numbered 1 to 8 and
landing on a number greater than 1
spinning a spinner with 10 equal
sections numbered 1 to 10 and
landing on 5
rolling a 0 on a number cube
with sides numbered from
1 to 6

Answers

Answer:

starting from top to bottom

2

1

3

4

Step-by-step explanation:

In that order

Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?

Answers

10 because 10 - 150% = 10

Answer:

30

Step-by-step explanation:

tell me if im  wrong

sorry if i am TmT

How many unit cubes are required to create a larger cube with edge length 3 units?

Answers

Answer:

The unit cubes that are required to create a larger cube with an edge length of 3 units is:

27 cubes.

Step-by-step explanation:

To identify the number of cubes you need to create a larger cube, you must think in the number of cubes of the length (3 cubes in this case), and use the exponent 3, because you need to form a cube. Below I'll show you:

To understand it in a better form, suppose that you need a cube with an edge of 5 units, in that case, remember you use the number 5 how base and the exponent is 3, because is a cube, in that case, it would be:

If it wasn't a cube but a square, you must elevate to the number 2, in the case of the cube is elevated to 3, so, the unit cubes that are required to create a larger cube with an edge length of 3 units is 27 cubes.

A cookie recipe for 60 cookies calls for 4 cups of flour. how much flour is needed to make 90 cookies that elevated, flat-topped landforms are shown in the above picture?

Answers

Answer:

6

Step-by-step explanation:

60/4=15

1 cup of flour=15 cookies

2 cups of flour= 30 cookies

3 cups of flour= 45 cookies

4 cups of flour= 60 cookies

5 cups of flour= 75 cookies

6 cups of flour= 90 cookies

You need 6cookies to do that

Determine the slope and the y-intercept of the table.

Answers

Answer:

Slope: 1.5

Y-Intercept: -1

which function has the range (-infinity,-2]U[0,infinity)?

a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1

Answers

Answer:

y= csc(x)+1

Step-by-step explanation:

A P E X

cosec(X) + 1  has the range (-infinity,-2]U[0,infinity)

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1

Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).

So,

Range of Cosec (x) +1 will be ,

= (-∞,-1+1] ∪ [1+1,∞).

= (-∞, 0] ∪ [2,∞)

Learn more about this concept here:

https://brainly.com/question/4471564

#SPJ2

Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution

Answers

Answer:

one solution

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

HELP!!! Parallel Line Proofs

Answers

They add to 180 when you connect the two lines

Which of the following is a solution for 5 - 2xs-3?
-4
4
1
-1

Answers

i want to say -1. if you first combine like terms the equation would look like 2-2x. then next step i did was divide both sides by negative 2 to get the x by itself. after i did that i got -1 x.

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

At what point do the graphs of x = 5 and y = -3 intersect​

Answers

(5,-3) pretty self explanatory

if Ad = 2x + 2 and cd= x +11, what is the value of x​

Answers

Answer: the answer is 9

Step-by-step explanation:

Please help me I am confused

Answers

Add 8 to both sides of the equation

Help I Dont Understand?

Answers

I am worry I tried but I think its the wrong answer good luck!

Solve for z;

z/12 = 18/72​

Answers

Answer:

3

Step-by-step explanation:

z/12=18/72      z/12=1/4  z=3

Answer:

The answer is z=3

Step-by-step explanation:

hope this helps

z/12 = 18/72

72z=216

To find z divide both sides by 72

72z/72=216/72

z=3

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