Parents wish to have $100,00 available for a child’s education. If the child is now 9 years old, how much money must be set aside at 6% compounded semiannually to meet their financial goal when the child is 18.

The amount that should be set aside is $____. (Round up to the nearest dollar.)

Answers

Answer 1

Answer:

$58,739.46   so $58,739

Step-by-step explanation:

I suspect you want $100,000      not $10000

  A = P(1 + r/t)^nt

A = final amount

P = initial principal

r = interest rate

n = number of times the interest is applied per time period

t = number of time periods elapsed

number of time periods is 18-9  = 9

semiannual 2   makes n = 2

A = 100,000

P = ????

r  = 0.06

n = 2

t  = 2

I used to finance calculator app to find P = 58739.46

and double checked by using the formula to find A

A = P(1 + r/t)^nt

   = 58739( 1 + 0.06/2)^(2(9))

  = 58739.46( 1.03)^18

  = 99999.9987

OR

A = P(1 + r/t)^nt            solve for P

P =  A/[(1 + r/t)^nt]

  =  10000/[(1 + 0.06/2)^(2(9))]

  =  100000 / [1.03^18]

 =  $58,739.46


Related Questions

Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.

Answers

9514 1404 393

Answer:

  117°

Step-by-step explanation:

We assume you want to report your bearing as an angle measured CW from North. For conventional angles greater than 90°, it will be ...

  450° -angle = 450° -333° = 117°

The bearing of the ship is 117°.

I need help...WILL GIVE BRAINLIEST !!!!!

Answers

Answer:

Step-by-step explanation:

48 is preimeter

96 is the area

Make me brainliest

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<QPM and <QPR

Step-by-step explanation:

adjacent angles have a common vertex and side, and those are the only two that have a common side

hope this helps :)

if it does, can I get brainliest, please??!

As a CFO of a company, you are asked by the company's board to make quarterly payments of $400 for 7 years to a computer firm for computer maintenance. How much money do you need to deposit into an interest bearing account paying 7.1% compounded quarterly so that you can make all the $400 payments over this 7 year period?

Answers

Answer:

the present value is $16,203.80

Step-by-step explanation:

The computation of the amount that need to deposit is given below:

Given that

PMT = $400

FV = $0

NPER = 7 × 7 = 49

RATE = 7.1% ÷ 4 = 0.7889%

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the amount that need to be deposit is $16,203.80

Hence, the present value is $16,203.80

find the length of the missing side.

Answers

Answer:

I believe it is 12

Step-by-step explanation:

but I am not 100 percent sure

someone please help me answer this

Answers

84 is the answer I think

Answer:

a = 72 mm is the answer.

Step-by-step explanation:

a = ?

b = 21 mm

c = 75 mm

According to the Pythagoras theorem

a² + b² = c²

a² + 21² = 75²

a² + 441 = 5625

a² = 5625 - 441

a² = 5184

a = 72 mm

∴ a = 72 mm is the length of the missing leg.

pls help me with this asap!!

Answers

Answer: 7 square root 2 AKA the bottom one

Step-by-step explanation:

4(3√x-2)+1=9. what is the solution to this equation

Answers

x=16/9
hope this helped

Answer:

x=22/9

Step-by-step explanation:

4(3√(x-2))+1=9

4(3√(x-2))=8

3√(x-2)=2

√(x-2)=2/3

x-2=4/9

x=4/9+2

x=4/9+18/9

x=22/9

Therefore, the solution is x=22/9

Find the measure of the line segment indicated, assume that lines which appear tangent are tangent. (2 questions) PLS help with these problems ! Pls don't just do it for points

Answers

Answer:

1

Step-by-step explanation:

Find two ratios equivalent to each ratio 3:11

Answers

Answer:

Multiplying each side by 5⇒ 15: 55

Multiplying each side by 10⇒30:110

Step-by-step explanation:

Answer:  3:11= 30:110 and 6:22

Step-by-step explanation:

30:110 is multipled by 10 and 6:22 is multiplied by 2!

It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!

A shirt is on sale for 35% off the original price. If the original price is $39.00 what is the sale price?

Answers

Answer:

$25.35

Step-by-step explanation:

You just take off the percentage from the original price to get your final answer.

Hope this helps c:

Use slopes and y-intercepts to determine if the lines −4x+4y=−1 and 4x+4y=−1 are parallel.

Answers

Answer:

Nope they are not parallel.

Step-by-step explanation:

first find the slope of each equation.

-4x+4y= -1

4y= 4x -1

y= (4x-1)/4

y=x - 1/4

the other equation

4x +4y = -1

4y= -4x -1

y= (-4x-1)/4

y= -x -1/4

the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.

A dragonfly can travel 72 miles in 2 hours at a constant rate. How fast can it fly?
A. 18 mph
B. 36 mph
C. 48 mph
D. 73 mph

Answers

the answer is B because you divid 72 by 2

A book has been discounted by 30%. It is on sale for $22.40. Find the original price.

Answers

ANSWER: $29.12 is the original price

EXPLANATION:
Do 22.40 • 0.30 to get 6.72
Then take 6.72 and add it to 22.40
This gives you the original price, $29.12


The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
a) What are the mean and standard deviation of the number of universal donors among the 6 people?
b) What is the probability that there are exactly three universal donors?

Answers

Using the binomial distribution, it is found that:

a) The mean is of 0.36 and the standard deviation is of 0.58.

b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

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

The values of the parameters are given as follows:

n = 6, p = 0.06.

Item a:

E(X) = np = 6 x 0.06 = 0.36.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6 \times 0.06 \times 0.94} = 0.58[/tex]

The mean is of 0.36 and the standard deviation is of 0.58.

Item b:

The probability is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]

There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

What is 26% of 50?
plz help

Answers

Answer:

13

Step-by-step explanation:

50 multiplied by .26


please help answer

Answers

After all that typing in the comments, LOL. The hardest part was figuring out the area of the stripes. I put those calculations off to the right. Please let me know if you can’t read my writing.

Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???

Answers

Answer:

ESTEBAN IS FOKING BROKE

Step-by-step explanation:

A=53sq.in find the value of x. Round to the nearest tenth

Answers

Answer:

shawty i think we need more info to solve this-

Step-by-step explanation:

Can anybody help me on this question?

Answers

Answer:

60

Step-by-step explanation:

i did the math yeah

The answer is 60 . ........

I tried finding this one earlier and it didn’t work , so please help again !

Answers

Answer:

C. 62

Step-by-step explanation:

All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)

May someone pls explain how to do this?

Question: In the image below, the measure of angle 2 is 75°. Find the measures of angles 1, 3, 4, 5, 6, 7, and 8.

Answers

Answer:

1=105

3=105

4=75

5=105

6=75

7=105

8=75

Step-by-step explanation:

angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).

This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).

lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.

I hope that made sense.

Can someone please find the slope, no link answers pls

Answers

Answer:

-3/1

Step-by-step explanation:

The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.

Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?

Answers

9514 1404 393

Answer:

  200 cm

Step-by-step explanation:

1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...

  (600 cm)/3 = 200 cm . . . length of each piece

After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus
$0.35 per mile. Which type of function could model the cost of the taxi ride?
A) Linear
B) Can't be determined
C) Exponential
D) Quadratic

Answers

Answer:

Linear

Step-by-step explanation:

[tex]y=.35x+26[/tex]

[tex]y=\frac{7}{20}x+26[/tex]          .35 = 7/20

The form [tex]y=mx+b[/tex] represents a linear equation. Our equation fits that form, with [tex]m=\frac{7}{20}, b=26[/tex].

Answer:

Linear

Step-by-step explanation:

Find the upper quartile of the given data: ​ ​ 31 , 47 , 88 , 92 , 92

Answers

Answer:

92 is the answer

Step-by-step explanation:

Please help me answer this. I’ll give a reward. To who every answers it correctly.

Answers

Answer:

66

Step-by-step explanation:

55+59 =114

180-114=66

. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of ground beef did Dinah buy

Answers

Answer:

[tex]7\frac{3}{8}[/tex] pounds

Step-by-step explanation:

First, convert the fractions into improper fractions, and make them have the same denominator.

First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]

Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]

Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]

Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.

[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]

Please answer number number 7 I’ll give brainliest thank you!

Answers

Answer:

b) $41.85

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 45 × 7/100

Discount = 45 x 0.07

You save = $3.15

Final Price = Original Price - Discount

Final Price = 45 - 3.15

Final Price = $41.85

hope this helps and is right. p.s. i really need brainliest :)

Answer:

Step-by-step explanation:

that would be A

If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
ОА.
-7 and 6
OB.
-6 and 7
Oc.
6 and 7
OD
-7 and -6

Answers

Answer:

7 and -6

Step-by-step explanation:

Given

Factors: (x - 7) and (x + 6)

Required

Determine the zeros

To do this, we simply equate the factors to 0

[tex]x - 7 = 0[/tex]

[tex]x = 7[/tex]

[tex]x + 6 = 0[/tex]

[tex]x = -6[/tex]

So, the zeros are -7 and 6

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