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

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 :)

Answer:

X = -12

Step-by-step explanation:

2x + 8 = - 16

2x = - 24

x = - 12

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]

Answer:

115°

Step-by-step explanation:

The angles of elevation and depression are supplementary, thus

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

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:

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

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

Answer:did you get the answer to this yet ?

Step-by-step explanation:

Answer:

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

midpoint(6,6)

Step-by-step explanation:

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

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

Answer:

(8+2i)

Step-by-step explanation:

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

Answer:

ok....…....…...…..…..……..…

Step-by-step explanation:

Answer:

Bsjxjxoa

Step-by-step explanation:

Jskzjakd, own, ks

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

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

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]

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 :

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

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]

Answer:

0.0000482253

Step-by-step explanation:

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

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

Answer:

2/3 + 4/5

√3 - √3 ( = 0)

√49 - √1

Step-by-step explanation:

Expressions representing a rational numbers are B , D and E

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

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

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

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

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

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

So, option D represents a rational number.

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

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

#SPJ2

Answer:

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.

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;

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

#SPJ6

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 :)

Answer:

hi

Step-by-step explanation:

want to start a conversation