Mr. and Mrs. Tournas know that their son will attend a college, in 14 years, that they estimate to cost approximately $250,000. How much should they deposit now if they assume that they can earn 8.5% compounded annually?
a) $72,083.41
b) $76,055.32
c) $75,450.20
d) $79,785.45

Answers

Answer 1

Answer: D

Step-by-step explanation:

We will try it to determine how much the need to save using the exponential function. In an exponential function,we need the start up amount and the common difference.

We know that the common difference is is 1.085  because if they will earn 8.5% interest plus 100% .

So  1.085 raised to the number of years times a number has to equal 250,000

x * 1.085^14 = 250,000   now solve for x

3.13340357495x = 250,000

x = 79785.44544 Rounded to the nearest cent is $79785.45


Related Questions

I NED HELP FAST! Due tomorrow!! Ways to represent relations!

Answers

1.1: Four Ways to Represent a Function.•Determine whether a relation represents a function.

•Find the value of a function.

•Determine whether a function is one-to-one.

•Use the vertical line test to identify functions.

•Graph the functions listed in the library of functions

Step-by-step explanation:

What is the value of 3x2+y3 when x=2 and y=−2?

Answers

Answer:

6

Step-by-step explanation:

First step is to plug in x=2 and y=-2

3(2)2+(-2)3

Remember PEMDAS

Parentheses first: multiply the 3(2)

6(2)+-6

Multipication second: 6(2)

12+-6

Lastly addition: 12+-6 (pay attention to the negative-that means we actually subtract)

Gives us 6

Hope this helps :)

PLEASE HELP ME!!. The local store where Tim shops charges 7% sales tax for clothing. Complete the table by figuring the cost of jeans after sales tax is applied. The first row has been done for you

Answers

Step-by-step explanation:

for 1 jeans

7% tax=7/100×25.68

=1.7976

So 1.7976$ is charged on one jeans.

7% tax for 2 jeans =2×1.7976

=3.5952$

Total price=3.5952+25.68

=29.2752

7% tax for 3 jeans=3×1.7976

=5.3928

Total price=5.3928+25.68

=31.0728

Hope this answer will help you

Answer:

$51.36

$77.04

Step-by-step explanation:

Multiply the cost of the number of pairs of jeans by the sales tax amount, 7%.

cost of 2 pairs:   48 + 7/100 x 48 = $51.36

 

cost of 3 pairs:   72 + 7/100 x 72 = $77.04

 

the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m

Answers

Answer:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]y=mx+b[/tex]

And we want to rewrite it in terms of m.

We can subtract b from both sides:

[tex]y-b=mx[/tex]

Finally, dividing both sides by x yields:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

In conclusion:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

The angle of elevation of a flagpole from the foot of a building is 65⁰, what is the angle of depression of the building from the Flagpole?

Answers

Answer:

115°

Step-by-step explanation:

The angles of elevation and depression are supplementary, thus

angle of depression = 180° - 65° = 115°

Solve the equation for x.
(2x + 8) = –16
A)
-18
B)
-24
D
-28
D)
-36

Answers

Answer:

X = -12

Step-by-step explanation:

2x + 8 = - 16

2x = - 24

x = - 12

Which one of these numbers is not like the others? 21, 15, 6, 16, 27

Answers

Answer:

15

Step-by-step explanation:

Find the prime number.  15 is a prime, and the others aren't.

15 is a prime number the other ones aren't

A freight train, traveling at a speed of 18.0 m/s, begins braking as it approaches a train yard. The train's acceleration while braking is –0.33 m/s2 . What is the train's speed after 23s?

Answers

Answer:

v = 10.41 m/s

Step-by-step explanation:

using one of the equations of motion:

v = u + at

where v= final velocity

u= initial velocity

a = acceleration

t = time

u = 18.0 m/s

v = ?

a = –0.33 m/s2

t = 23s

v = 18.0 + (–0.33 x  23)

v = 18.0 + (-7.59)

v = 10.41 m/s

Consider the function. f(x) = -2/3x - 24 Which conclusions can be drawn about f^-1(x)? Select two options.
f^-1(x) has a slope of -2/3
f^-1(x) has a slope of . f^–1(x) has a restricted domain.
f^-1(x) has a y-intercept of (0, –36).
f^-1(x) has an x-intercept of (–36, 0).
f^-1(x) has a range of all real numbers.

Answers

It’s D&E because that’s what it is what it is

John bought a 4-year certificate of deposit for $9.800 that has an interest rate of 3.255 % compounding monthly
How much interest will he earn after the 4 years?

Answers

Answer:

hi

Step-by-step explanation:

want to start a conversation

A point where 2 rays meet to form an angle

Answers

It would be a vertex

Do the points shown represent additive inverses? Explain why or why not.

Answers

Answer:

Yes additive inverse is two complete opposite numbers if added = 0

Step-by-step explanation:

Answer:

The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions.

Step-by-step explanation:

e d g e n u i t y . . . hope this helped :p

1. (2 - 3i) + (6+5i)

Answers

Answer:

(8+2i)

Step-by-step explanation:

Solve quadratic equation by completing the square 9x²=4 please help me answer this

Answers

Answer:

[tex]9 {x}^{2} - 4 = 0 [/tex]

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

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

[tex]3x = 2[/tex]

[tex]x = \frac{2}{3} [/tex]

AND

[tex]3x + 2 = 0[/tex]

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

[tex] \times = - \frac{2}{3} [/tex]

9x²-4=0

or,(3x)² +2*3x*3 +(3)² -5 = 18x -5

or,(3x+3)² = 18x

either,3x+3= 18x or, 3x+3=-18x

or, 15x=3 or, 21x=-3

or, x=1/5 or, x=-1/7

Solve for x.
81 = 27^-x^-2

Answers

Answer:

NO SOLUTION

Step-by-step explanation:

[tex]81=27^{-x^{-2}}[/tex]

[tex]3^4=3^{3\left(-x^{-2}\right)}[/tex]

[tex]4=3\left(-x^{-2}\right)[/tex]

[tex]\:4=-\frac{3}{x^2}:\quad \mathrm{No\:Solution\:for}\:x\in \mathbb{R}[/tex]


2. Which of the following correctly compares the two parts of the function in
Item 1, over the intervals [0, 7] and [8, 11]?
A)Benito made an extra $25 after selling 7 shirts.
B)Benito spent $1 after selling 50 shirts.
C)The price of one shirt increases from $10 to $15.
D)Benito's profit per shirt increases from $10 to $15.

Answers

Answer:did you get the answer to this yet ?

Step-by-step explanation:

How much time has passed from the first clock to the second clock?

Answers

Is there an picture

For the points (5,4)and (7,8), find the distance between the points and find the
midpoint of the segment.

Answers

Answer:

distance = 2[tex]\sqrt{5}[/tex] or 4.47 in decimal form

midpoint(6,6)

Step-by-step explanation:

h/15 = 10 What does h equal??

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{h = 150}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{h}{15} = 10}[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{h = 10 \times 15 }}[/tex]

Multiply the numbers : 10 and 15

[tex] \dashrightarrow{ \sf{h = 150}}[/tex]

Hope I helped!

Best regards! :D

Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if all 3 prizes are a $10 gift card.

Answers

Answer:

the number of ways in which the prizes are allocated is 67,525

Step-by-step explanation:

Given that

Number of customers = 75

Number of prizes = 3

And, the value of gift card = $10

Based on the above information,

The number of ways in which the prizes are allocated is shown below:

[tex]=^{75} C_3[/tex]

= [tex]\frac{75!}{(3!\times(75-3)!}[/tex]

After solving this the number of ways that came is 67,525

hence, the number of ways in which the prizes are allocated is 67,525

The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. What are the two
numbers?
A. 12 and 4
В.15 and 7
C. 20 and 12
D. 23 and 15

Answers

The correct answer is b

help me solve 4x - 3 < 7

Answers

Answer:

x< 2 1/2

Step-by-step explanation:

[tex]4x - 3 < 7[/tex]

Add 3 to both sides of the equation

[tex]4x - 3 + 3 < 7 + 3 \\ 4x < 7 + 3 \\ 4x < 10[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} < \frac{10}{4} [/tex]

Simplify

[tex]x < \frac{5}{2} [/tex]

The solution to the inequality is x < 5/2.

What is an inequality?

In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data, number, and variables in an algebraic equation based on any of the inequality symbols;

Greater than (>).Less than or equal to (≤).Less than (<).Greater than or equal to (≥).

In this scenario and exercise, we would determine the solution set to the given inequality for x in parts as follows;

4x - 3 < 7

By adding 3 to both sides of the inequality, we have:

4x - 3 + 3 < 7 + 3

4x < 10

x < 10/4

x < 5/2.

Read more on inequality here: brainly.com/question/30665021

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Shandra is on vacation and wants to buy souvenirs for at least eight friends. A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 all together. Which system of inequalities represents the situation?

Answers

Answer:

[tex]2.5p + 4m \leq 30[/tex]

Step-by-step explanation:

Given

Poster = $2.50

Magnet = $4.00

Amount = Up to $30

Required

Determine the inequality

Represent posters with p;

This implies that she can buy 2.50p worth of posters

Represent magnets with m

This implies that she can buy upto 4m worth of magnets

The question says she can spent up to $30;

This implies that she can spend at most $30 and this can be mathematically represented as [tex]\leq 30[/tex]

Bringing the parameters together; we have

[tex]2.5p + 4m \leq 30[/tex]

The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex] and this can be determined by using the given data and arithmetic operations.

Given :

A postcard book costs $2.50 and a magnet costs $4.00.Shandra can spend up to $30 all together.

Let the total number of postcards be 'x' and the total number of magnets be 'y'. The following steps can be used to determine the inequalities that represent the situation:

Step 1 - Multiply 2.5 with x.

2.5x

Step 2 - Multiply 4 with y.

4y

Step 3 - Now, add the above two expressions.

2.5x + 4y

Step 4 - Now, apply the inequality.

[tex]2.5x+4y\leq 30[/tex]

The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex].

For more information, refer to the link given below:

https://brainly.com/question/13101306

HELP ME PLZ ! Solve for x

Answers

Answer:

x = -1/3 - 3/2y

Step-by-step explanation:

Step 1: Write out equation

3y + 2x = -1

Step 2: Subtract 3y on both sides

3y - 3y + 2x = -1 - 3y

2x = -1 - 3y

Step 3: Divide both sides by 2

2x/2 (-1 - 3y)/2

x = -1/3 - 3/2y

Answer:

Hey there!

3y+2x=-1

2x=-3y-1

x=-3/2y-1/2

Let me know if this helps :)

If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for his age group is $2.34, how much is Jesse’s annual premium?

Answers

Step-by-step explanation:

Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.  

2.34 * 75 = $175.50

We don't need to multiply it by 10 years as only the annual premium is being solved for.

Answer:

C $212.57

Step-by-step explanation:

I Just took the test on e2020

Oab.......................

Answers

Answer:

ok....…....…...…..…..……..…

Step-by-step explanation:

Answer:

Bsjxjxoa

Step-by-step explanation:

Jskzjakd, own, ks

Simplify 12 to the 3rd over 12 to the 7th

Answers

Answer:

0.0000482253

Step-by-step explanation:

Which expressions below equal a rational number? Select all that apply

Answers

Answer:

2/3 + 4/5

√3 - √3 ( = 0)

√49 - √1

Step-by-step explanation:

Expressions representing a rational numbers are B , D and E

What are rational numbers?

A number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.

What are irrational numbers?

Irrational number, any real number that cannot be expressed as the quotient of two integers.

How to find which expressions given equal a rational number?

Firstly, we know that π is an irrational number .

So π x √4 = 2π

2π is an irrational number and so option A cannot represent a rational number.

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

Since 2 is a rational number, we can say option b represents a rational number

[tex]\sqrt{36} + \sqrt{5}[/tex]

= 6 + [tex]\sqrt{5}[/tex]

We, know that  [tex]\sqrt{5}[/tex] is an irrational number , So option C cannot represent a rational number.

[tex]\sqrt{3} - \sqrt{3} = 0[/tex]

0 is a rational number

So, option D represents a rational number.

[tex](\sqrt{49} )(\sqrt{1} ) \\= 7[/tex]

7 is a rational number and so option E represents a rational number.

Find more about "Rational Numbers " here: https://brainly.com/question/1535013

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Please answer question 17 a and b.Please ASAP​ I'll mark as brainliest the answer that explained well and step by step .THANKS pleaseeeee hurry

Answers

X = 17

X + 3
———- = 5
4

Multiply both sides of the equation by 4

X + 3 = 20

Move constant to the right-hand side and change its sign

X + 3 = 20
-3 -3
X = 20 - 3

Subtract the numbers

X = 20 - 3

X = 17

Point O is on line segment NP. Given NP = 3x, NO = 2x, and OP = 8,
determine the numerical length of NO.

Answers

Answer:

[tex]NO = 16\ units[/tex]

Step-by-step explanation:

Given

[tex]NP = 3x[/tex]

[tex]NO = 2x[/tex]

[tex]OP = 8[/tex]

Required

Determine NO

Since O is a segment on NP, we have that

[tex]NP = NO + OP[/tex]

Substitute values for these parameters

[tex]3x = 2x + 8[/tex]

Collect Like Terms

[tex]3x - 2x = 8[/tex]

[tex]x = 8[/tex]

Substitute 8 for x in [tex]NO = 2x[/tex]

[tex]NO = 2 * 8[/tex]

[tex]NO = 16\ units[/tex]

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