Armando and Mikayla have a new grandson. How much money should they invest now so that he
will have $80,000 for his college education in 18 years? The money is invested at 8% compounded
annually

Answers

Answer 1

9514 1404 393

Answer:

  $20,020

Step-by-step explanation:

The future value formula is helpful.

  FV = P(1 +r)^t

  $80,000 = P(1.08^18) = 3.9960195P

  P = $80,000/3.9960195 = $20,019.92

They should invest about $20,020 now.


Related Questions

NOT TRYING TO RUSH YOU OR ANYTHING BUT CAN YOU PLEASE HURRY UP AND HELP ME!!

Answers

Answer: A.

Step-by-step explanation:

Find two positive decimals a and b that make
the following statement true. Then find two positive decimals a and b that
make the statement false.
Ifa < 1 and b < 1, then a + b < 1.
Help plzzzz

Answers

for making the statement true then find any decimal that when added won't give an answer greater than one.

eg, 0.5 + 0.2= 0.7 this makes the statement a+b<1 correct.

to make the statement false, add two decimals that'll gv answer greater fhan one.

eg, 0.8 + 0.3= 1.1, which makes the statement a+b<1 incorrect/ false

Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?​

Answers

Answer:

1. Rational Algebraic Expression

2. 0

3. See explanation

Step-by-step explanation:

Solving (1):

From the list of given options, Option C. Rational Algebraic Expression answers the question.

And it is always of the form P/Q where P and Q are polynomials

Take for instance

P = x² - x + 2 and Q = x² + 2x - 4

P/Q = (x² - x + 2)/(x² + 2x - 4)

The above expression is a perfect example of a Rational Algebraic Expression

Solving (2): The denominator of a rational algebraic expression must not equal 0

Hence, option A answers the question

Solving (3): The options are missing.

However, a perfect example has been sighted on (1) above

Seventeen less than a number
is negative two. What is that
number?

Answers

Answer:15

Step-by-step explanation:

15-17=-2

Answer:

15

Step-by-step explanation:

15

Naomi bought a dress on sale for $24. Naomi bought the dress for 60% of the original price. Which equation shows how to find the original cost of the dress?

A.
0.60x = 24


B.
0.40x = 24


C.
24x = 60


D.
60 – 24 = x

Answers

Answer:

A

Step-by-step explanation:

Find the distance between (-13, -3.5) and (17, 2)

Answers

Distance = 30.5

I hope this helps.

The veterinarian
has seen 47 dogs, 19 cats, 7 exotic birds, and
3 horses this week. Complete the bar diagram
and find the total number of animals seen by
the veterinarian this week.

Answers

Answer:

76 animals

Step-by-step explanation:

47+19+7+3= 76 animals.

If QS bisects ZRQP, mZRQS =
2x + 10, and mZSQP = 3x - 18,
find mZRQS.

Answers

Answer:

66°

Step-by-step explanation:

[tex]\because \overrightarrow{QS} \: bisects\: \angle RQP\\\\

\therefore m\angle RQS = m\angle SQP\\\\

\therefore 2x + 10 = 3x - 18\\\\

\therefore 18 + 10 = 3x - 2x\\\\

\therefore 28 = x\\\\

\therefore x = 28\\\\

m\angle RQS = (2x + 10)\degree \\\\

m\angle RQS = (2\times 28+ 10)\degree \\\\

m\angle RQS = (56+ 10)\degree \\\\

\huge \purple {\boxed {m\angle RQS =66\degree}} \\\\

[/tex]

4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education

Answers

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591

Flight Path of a Bird

In this activity, you'll use quadratic equations to model situations and interpret the solutions to the equation

The flight path of a bird can be represented by this equation, where x represents the horizontal distance, in feet, from a tree

branch and y represents the height, in feet, relative to the ground.

y = 2x2 - 8x + 10

Part A

Question

Rewrite the equation modeling the path of the bird in vertex form by completing the square,

Substitute the values of a, h, and k to complete the equation.

Answers

Answer:

The equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]

Step-by-step explanation:

General vertex form equation: [tex]f(x) = a(x-h)^2 + k[/tex]

where (h,k) is the vertex

The flight path of a bird can be represented by this equation: [tex]y = 2x^2 - 8x + 10[/tex]

To convert the equation in vertex form

Completing the square :

[tex]y = 2(x^2 - 4x + 5)\\y = 2(x^2 - 4x + 5 +(2)^2-(2)^2)\\y = 2(x^2 - 4x + 5 +(2)^2-4)\\y = 2((x-2)^2-4+5)\\y = 2((x-2)^2+1)\\y=2(x-2)^2+2[/tex]

Where:

(h,k)=(2,2)

a=2

Hence the equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]

Find the GCF for the following list
32, 140

Answers

Answer:

the gcf of 32 and 140 is 4

i hope this helps :)

i’ll mark brainlest to whoever answers first :D

Answers

Answer:

10

The slope is 10 cuz rise/run rise is 10 run is 1. so 10÷1=10

Answer:

The answer is 7.2

Can someone show me how to do this?
10t - 4<2t

Answers

Answer:

t < [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

10t - 4 < 2t

8t - 4 < 0

8t < 4

t < [tex]\frac{1}{2}[/tex]

Heather solved this problem:
75 is 300% of what number?
Part
0 75
300
What error did Heather make?
None. Her work is correct.
O She multiplied 75 and 4 incorrectly.
She should have divided 75 by 4, and divided 100
by 4.
O She used the part, 75, to write the percent ratio.
300
The part-to-whole percent ratio is 100
?
100
0
Whole
part
whole
75 x 4 300
100 x 4 400

Answers

Answer:

she used the part 75 long story short d

Step-by-step explanation:

Divide. −24/7 Enter your answer as a mixed number, in simplified form, in the box.

Answers

Answer:

-3 3/7

Step-by-step explanation:

When you divide, you get this answer. You then later add the negative sign.

It would be -3 3/7 as a mixed number

Your test scores in one class are 80 and 86. What possible scores can you earn on your next test to have a test average between 83 and 88​, ​inclusive?

Answers

Answer:

83

Step-by-step explanation:

80+86=166

166÷2=83

Austin is paid a salary of $350 weekly. Find the Austin's earnings per year.

Answers

18243 is the answer I think.

Answer:

$18234

Step-by-step explanation:

Can anyone tell me if u pass the ela state exam but u didn't pass the math state exam can u still go to 9th grade cuz im in 8th please answer and my grades are always good so does it help? and my classwork etc is always around 80-100 is it good

Answers

i think u can still go to 9th grade because overall ur a good student who does their class work . if by chance u cant can u redo the state test?

Evaluate the function for the indicated values of x.
[Look at image]

Answers

Answer:

f(-10) = -19

f(2) = 4

f(-5) = -9

f(-1) = 1

f(8) = -5

Step-by-step explanation:

During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?

Answers

Answer:

45 customers

Step-by-step explanation:

Total customers= 60 customers

100% = 60

75% = 75/100 × 60

=45 costumers

Answer:

It is 45 customers

2.549 miles can be rounded to 3 miles and 2.5 miles.Explain how its true.

Answers

Answer:

If you round 2.549 miles to 3, you are rounding it to the nearest ones place(whole number).  2.549 rounded to the nearest tenth, however, is 2.5 because 2.549 is being rounded to the tenth decimal place.  

Step-by-step explanation:

Answer:

You can either round it up to the tenths place or you can use the tenths place to round the 2 up to 3.

If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?
a.
3
C.
2
72 feet
1 feet
b. 15 feet
d.
20 feet

Answers

The answer is b. 15ft

Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Assume that the correlation between X and Y is 0.5. Find the mean and variance of the random variable Z = ????3X ???? 2Y . Be sure to show all your work.

Answers

Answer:

a

 [tex]E(Z) =  202 [/tex]  

b

[tex]E(Z) = 198[/tex]

c

[tex]E(Z) = -140  [/tex]

Step-by-step explanation:

From the question we are told that

   The mean of X  is [tex] E(X)  =  20[/tex]

   The standard deviation of X is  [tex]s_1 = 5[/tex]

   The mean of Y  is [tex]\= y  =  40[/tex]

    The standard deviation of Y is  [tex]s_2 = 10[/tex]

Considering question a  

Generally the mean of   Z = 2 + 10X. is mathematically  represented

    [tex]E(Z) = E[2 + 10X ][/tex]

=> [tex]E(Z) =  2 +  10 E(X)[/tex]

=>  [tex]E(Z) =  2 +  10 * 20 [/tex]        

=>  [tex]E(Z) =  202 [/tex]          

Considering question b

Generally the mean of   Z = 10X - 2.. is mathematically  represented  

        [tex]E(Z) = E[10X -2 ][/tex]

   => [tex]E(Z) = 10E(X) - 2[/tex]

  =>  [tex]E(Z) = 10* 20  - 2[/tex]

  =>  [tex]E(Z) = 200  - 2[/tex]

 =>  [tex]E(Z) = 198[/tex]

Considering question c

Generally the mean of   -3X - 2Y is mathematically  represented

     [tex]E(Z) = E[-3X -2Y ][/tex]

     [tex]E(Z) = -3 E(X) -2E(Y) [/tex]

=>   [tex]E(Z) = -3 * 20 -2* 40 [/tex]

=> [tex]E(Z) = -140  [/tex]

I’ll mark brainliest tysm

Answers

-13    EX:  2(-4) - 5 = -8 -5 = -13

-7      

-1

1

3

THESE ARE THE ANSWERS

What is the answer for 8

Answers

Answer:

no they share the same y value for two different x values

Solve the following expression when a=5

4^2+5a-2a

Answers

Answer: 31 i think

Step-by-step explanation:

Four times the sum of f and g is identical to six times g

Answers

Answer:

4(f+g)=6g

Step-by-step explanation:

4(f+g)=6g

Physicists estimate that there are between 1078 and 1082 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?

Answers

Answer:

10,000 universes with the smaller number of atoms would fit inside the larger universe

Step-by-step explanation:

The correct question is as follows;

Physicists estimate that there are between 10^78 and 10^82 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?

Solution

To find the amount of the smaller number of atoms that will fit into the larger, we simply divide

Thus, we have;

10^82/10^78 = 10^4 = 10,000

Estimates are used to give the approximated value of a quantity.

10000 of the smaller universe will fit in the larger universe.

The number of atoms is:

[tex]\mathbf{n_1 = 10^{78}}[/tex]

[tex]\mathbf{n_2 = 10^{82}}[/tex]

(a) The larger universe

By comparison,

[tex]\mathbf{10^{82} > 10^{78}}[/tex]

This means that: the atoms in the second universe are larger than the number of atoms in the first.

(b) The number of small universe in the large universe

This is calculated by dividing the number of atoms in the large universe by the small universe

So, we have:

[tex]\mathbf{n = \frac{n_2}{n_1}}[/tex]

[tex]\mathbf{n = \frac{10^{82} }{ 10^{78}}}[/tex]

Apply law of logarithm

[tex]\mathbf{n = 10^{82 - 78} }[/tex]

[tex]\mathbf{n = 10^{4} }[/tex]

[tex]\mathbf{n = 10000 }[/tex]

Hence, 10000 of the smaller universe will fit in the larger universe.

Read more about estimates at:

https://brainly.com/question/17226219

What is the distance between -3 and 2 on the number line?
-5-4-3
1
2
3
4
5
-5
-1
_ _
7
1

Answers

Answer: the answer is 190 to the power of 7

Step-by-step explanation:

so u just have to multiply by 35 and u will get the answer

Answer:

4

Step-by-step explanation:

(-3) -2 -1 0 1 (2)

that therefore counting from left to right will give us 4 because there are 4 numbers inbetween (-3) and (2).

please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)

Answers

The answer is x= -3
Remove the ()
Collect terms
Move variable to the left hand side and change its sign
Move variable to the right hand side and change its sign.
Collect like terms
Subtract the numbers
Divide both sides of the equation by -2
And your solution should be x= -3
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