To help with his retirement savings, Dan has decided to invest. Assuming an interest rate of 3,43% compounded quarterly, how much would he have to invest
to have $148,700 after 18 years?
Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas.
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5
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Answers

Answer 1

Answer:

He would have to invest $80,412.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Assuming an interest rate of 3,43% compounded quarterly.

This means that [tex]r = 0.0343, n = 4[/tex]

How much would he have to invest to have $148,700 after 18 years?

This is P for which [tex]t = 18, A(t) = 148700[/tex]. So

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

[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]

[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]

[tex]P = 80412[/tex]

He would have to invest $80,412.


Related Questions

What is the value of the median in the set of data represented by the following box-and-whisker plot?

A. 10
B.15
C.14
D.15.5​

Answers

Answer:

D)  15.5

Step-by-step explanation:

median is the middle line inside the 'box'

Answer:

D.15.5D.15.5 is the value of the median in the set of data represented by the following box-and-whisker plot.

someone please help me answer this!!1

Answers

Answer:

b = 9m is the answer.

Step-by-step explanation:

a = 12m

b = ?

c = 15m

According to the Pytagorean theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9

∴ The slide is 9m away from the monkey bars.

Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23

Answers

The answer is 38 since range=high - low = 58-20

Determine whether the two expressions are equivalent
2(3c + 2) - 2c and 4c + 2

Answers

Answer:

The equations are not equivalent

Step-by-step explanation:

2(3c +2) -2c

6c + 4 - 2c

combine like terms

4c +4 does not equal 4c +2

Answer:

they are NOT equivelent

Step-by-step explanation:

2(3c+2)-2c and 4c + 2

(6c+4)-2c

4c+4>4c+2

help pls giving branliest

Answers

Answer:

https://youtu.be/TZbTr1oBwKU

I need help asap....​

Answers

Answer:

Step-by-step explanation:

From the given picture,

Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4

To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3

          Statements                          Reasons

1). l₁ ║ l₂ and ∠2 ≅ ∠4                  1). Given

2). ∠1 ≅ ∠2                                   2). Vertical angle theorem

3). ∠1 ≅ ∠4                                   3). Given

4). ∠1 ≅ ∠3                                   4). Corresponding angle theorem

5). ∠4 ≅ ∠3                                  5). Transitive property of congruence  

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as​ students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.

Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?

Answers

Answer:

a) "engaged" is a quantitative and continuous variable.

b) The sample proportion of students in this high school district who are engaged is 0.4222

Step-by-step explanation:

Given the data in the question;

Polling reports shows that 0.34 12th grade students are engaged

the principal surveyed 90 of the 3600 students,

number of students reported to be engaged is 38

a)

"engaged" is a quantitative and continuous variable.

b) the sample proportion of students in this high school district who are engaged.

Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed

so

Sample proportion of engaged = 38 / 90

Sample proportion of engaged = 0.4222

Therefore, the sample proportion of students in this high school district who are engaged is 0.4222

The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?

Answers

We can use the formula: is/of = %/100.

% = 60

of = 160

[tex]\frac{x}{160}=\frac{60}{100}[/tex]

100x = 9600

x = 96

96 students participated in the fundraiser.

Giving ALOT of points for this
On Friday, three friends shared how much they read during the week.


Barbara read the first 100 pages from a 320-page in the last 4 days

Judy read the first 54 pages from a 260-page book in the last 3 days.

Nancy read the first 160 pages from a 480-page book in the last 5 days

Part A

A person’s average reading rate can be defined as the number of pages read divided by the number of days. Place the three friends’ reading rates in order from greatest to least(Show all work)

Answers

Answer:

Solution given:Barbara reads

100page in 4 days

1 day=100/4=25pages

judy reads

54pages =3days

1 day=54/3=18 pages

nancy reads

160 pages =5 days

1 day=160/5=32 pages

average page=[25+18+32]/3=25 pages per day is a required rate.

Choose all that are true. A square is a

Answers

A square is a Shape.
Because it wanted to be one

Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?

Answers

Answer:

One third or 1/3

Step-by-step explanation:

1/3 simplified or 4/12

please help me asap!​

Answers

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary​

Answers

9514 1404 393

Answer:

  1487.31 yd³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

  V = (2/3)πr³ + πr²h

  V = πr²(2/3r +h)

  V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

Answer:

4187.31 yd³ is thr volume of a fugure

She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41

Answers

Answer:

B. 37 + 7 = 44

Step-by-step explanation:

If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.

B is the answer 37 + 7 = 44

Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*

1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5

Answers

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

Find P(4).
A 1/8
B 1/4
C 1/2

Answers

The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.

Plsss this is timed!

Answers

Answer:

c i think ???

Step-by-step explanation:

I think it’s D???

sorry if it’s wrong

On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?

Answers

Answer:

3 2/3 miles

Step-by-step explanation:

1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3

Answer: 3 2/3 miles

Claire went home after school and told her mother that 1 whole is the same as 2/2 and 6/6. Her mother asked why, but Claire couldn't explain. Use a number line and words to help Claire show and explain why. 1 = 2/2 = 6/6.

Answers

2/2 means 1/2 and 1/2
The distance between 0 and 1 and then 1/2 again we will end up at 1. Think of cutting the distance from 0 to 1 into two equal pieces and Together those pieces equal 1 whole. we do the same and cut the distance into 6 and then take six such pieces we again get the whole distance from 0 to 1 or one whole.

(3/4)(-4/3) = 0
True or False

Answers

Answer:

False

Step-by-step explanation:

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

Answer:

true

Step-by-step explanation:

your welcome

Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1

Answers

Answer:

i think the answer is 5x+1 that how i was taught srry if its wrong

help due tonight.. *no links please*

Answers

Answer:

supplementary angle = angle 2 and angle 3

vertical angle = angle 2 and angle 4

hope it helps

what is the distance of 120 and -5 on a number line

Answers

Answer:

the distance between-5 to 120 on a number line is 124

Find the area of the region (CALCULUS HELP I WILL VOTE BEST ANSWER)

Answers

I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.

I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.

The region is then the set of points,

R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}

so the area is given by the integral,

[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]

What is the measure of ABC

Answers

Answer:

63

Step-by-step explanation:

angle abc =half of arc DE + half of arc AC

Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please

Answers

Answer:

27

Step-by-step explanation:

If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?​

Answers

Answer: x= -1

Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1

From the given statement the unknown number is found to be - 1

The given statements can written in algebraic form as follows;

the unknown number = x

the number  is multiplied by 6 = 6x

four less than twice the same number = 2x - 4

then, from the given statement the final equation equation becomes;

6x = 2x - 4

This unknown number can be solved by collecting similar terms together;

6x - 2x = -4

4x = -4

divide through by 4

[tex]\frac{4x}{4} = \frac{-4}{4} \\\\x = -1[/tex]

Thus, the unknown number is - 1

Learn more here: https://brainly.com/question/24369824

I need help hurry!!!!​

Answers

Answer:

none of the above is a pythagorean triple

Find the slope of the line through the two points. (3, 7) and (4, 9)

Answers

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(4-3)

m=2/1

m=2

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