please help with the steps

Please Help With The Steps

Answers

Answer 1

9514 1404 393

Answer:

346.1 monthly payments; 28.8 years18.5 years; infinite years

Step-by-step explanation:

Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.

  FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.

__

Problem 1

You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...

  log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months

  log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1

The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.

__

Problem 2

Again, solving for t, we get ...

  log(1 -Pr/(An))/(-n·log(1 +r/n)) = t

The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...

  log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years

Changing the withdrawal to $3000 per month makes the account last forever.  It earns $3150 in interest each month, so the account balance continues to increase.

The account will support withdrawals of $5000 per month for 18.5 years.

The account will support withdrawals of $3000 per month forever.


Related Questions

Find the distance between the points (0, -3) and (4, 0).

A. 7
B. 1
C. 25
D. 5​

Answers

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The distance formula is good for finding the distance between two points.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25

  d = 5

The distance between the points is 5 units.

_____

You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.

what are the domain and range of this function

Answers

Answer:

The domain is all real numbers

The range is y ≥ -8

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y ≥ -8

what are the two types of probability​

Answers

Answer:

The two "types of probability" are: 1) interpretation by ratios, classical interpretation; interpretation by success, frequentist interpretation. The third one is called subjective interpretation.

A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the bag at random, hoping to pick a red marble. Which of the following statements is true?
a. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases.
b. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases.
c. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases.
d. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases.

Answers

Answer:

C

Step-by-step explanation:

The probability Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, that % will decrease.

The probability of picking a red marble on the first try is 33%, and if Ryan keeps this marble and picks another from the bag, the probability of picking a green marble decreases.

Thus, option (C) is correct.

In this case, there are 20 red marbles out of a total of 60 marbles.

So the probability of picking a red marble on the first try is 20/60, which simplifies to 1/3 or 33%.

If Ryan keeps the red marble and picks another one from the bag, the total number of marbles becomes 59.

The number of green marbles remains the same at 40.

Therefore, the probability of picking a green marble on the second try is 40/59, which is less than the probability of picking a green marble on the first try.

Hence, the probability of picking a red marble on the first try is 33%.

Thus, option (C) is correct.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ4

The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5

Answers

Well 5 is -10 km away from -5. We can further prove this by adding -5 + 10, giving us 5. Answer is 10!

if 4+1=17
5+2=27
6+3=42
8+4=88
then 9+5=?​

Answers

Answer:

127

Step-by-step explanation:

by............doing this .

Tasta's bank account was. She deposited a check into her bank account and her new total is. How much was the check that Tasta deposited into her account?

Answers

Answer:

Step-by-step explanation:

New Total equals Previous Total plus the Check value

New Total minus Previous Total   equals   the Check value

Her new total is  -  Tasta's bank account was = Check value

AD=3, BD=5, AE=4. Find CE

Answers

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

for what values of x are these functions defined x - 1

Answers

Answer:

The function is defined for all real numbers.

which can be denoted as >> R

Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!!

Answers

Answer:

70 feet

Step-by-step explanation:

Given

[tex]Sides: 23ft, 15ft, 32ft[/tex]

Required

The tape needed

This implies that we calculate the perimeter (P)

This is calculated as:

[tex]P = \sum sides[/tex]

So:

[tex]P = 23ft +15ft + 32ft[/tex]

[tex]P = 70ft[/tex]

Answer:

dude why does it say your in college?!?

Step-by-step explanation:

Also I DON'T KNOW just kidding um before some fork tard deletes my answer Hi how are you????

List two numbers that are divisible by 9?

Answers

Answer:

3, 6, 12, 15

Step-by-step explanation:

3/12= 4

3/9= 3

Which of the following is equal to the rational expression
below when x+2 or 9?
4(x - 2)
(x - 2)(x-9)

Answers

Answer:4/x-9

Step-by-step explanation:

Use the correct function to find the missing angle y measurement to the
nearest whole degree. Then using the checkboxes, select the function you
used, and the answer you found rounded to the nearest degree. (SELECT
2 ANSWERS - READ CAREFULLY) Work points are build into the results. *
18 in
yo
20 in.
Cos
Tan
64 degrees
Sin
42 degrees
26 degrees

Answers

Answer:

Cos;

26 degrees

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle = y°

Adjacent side = 18 in.

Hypotenuse = 20 in.

We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:

Cos y° = Adj/Hyp

Cos y° = 18/20

Cos y° = 0.9

y° = cos^{-1}(0.9)

y = 25.8419328° ≈ 26 degrees (nearest whole degree)

The answers are:

Cos and 26 degrees

A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $15 each, and tickets for tier seats cost $70 each. The total cost of the tickets was $345. How many tickets for tier seats did they purchase

Answers

Answer:

3 tier seats tickets

Step-by-step explanation:

Let the friends that bought floor seats be x and let the friends that bought tier seats be y.

Thus;

x + y = 12 - - - (eq 1)

Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;

15x + 70y = 345 - - - (eq 2)

Let's make x the subject in eq (1)

x = 12 - y

Putting this for x in eq 2 gives;

15(12 - y) + 70y = 345

180 - 15y + 70y = 345

55y = 345 - 180

55y = 165

y = 165/55

y = 3

Put 3 for y in x = 12 - y to get;

x = 12 - 3

x = 9

Thus, they purchased 9 floor seats tickets and 3 tier seats tickets

Help ASAP pls I will give brainlist

Answers

Answer:

Step-by-step explanation:

There is a issue here...

is the spotted blue section considered "a blue sector"?

Assuming that "blue" or "red" is only a solid blue or red, this is the answer...

1)  (1/10)* (3/10) = .03

2) (3/10) * (3/10) = 9/100 = .09

3) (3/10) * (1/10) = 3/100 = .03

4) (4/10) * (3/10) = 12/100 = .12

if the spotted blue and the solid blue are considered blue then this would be the result ...

1)  (1/10)* (3/10) = .03

2) (4/10) * (3/10) = 12/100 = .12

3) (3/10) * (1/10) = 3/100 = .03

4) (8/10) * (3/10) = 24/100 = .24

WILL MARK BRAINLIEST PLEASE HELP

a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?

Answers

64-35= 29

so there were 29 boys included in the survey

Step-by-step explanation:

answer is in the above photo

there are 29 boys total

Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.

Answers

I can’t see the format it’s not showing up

Answer:

The answer is B) x = 8x² + 34; 45.52 centemiters

Step-by-step explanation:

8b - 5a + 4 for a = -4 and b = 7

If anyone gets this tysm

Answers

Answer:

80

Step-by-step explanation:

Given Question,

8b - 5a + 4

Given Values:

a = -4 and b = 7

Solution,

8(7) - 5(-4) + 4

= 56 + 20 + 4

= 80 (Ans)

Answer:

80

Step-by-step explanation:

8b - 5a + 4

a = - 4

b = 7

8(7) - 5(- 4) + 4

56 - (- 20) + 4

56 + 20 + 4

60 + 20

80

HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

No solution

Step-by-step explanation:

Given

[tex]|x| = -1[/tex]

Required

The solution

The above equation has no solution.

This is because [tex]|x| \ge 0[/tex]

In otherwords, the absolute value of a number is always positive.

PLEASE HELP WILL MARK YOU IF YOU HELP ME

Answers

Answer:

b + 79 =180

b =180-79

=101


180-79 = 101

The reason why we put 180 because a straight line is equal to 180 degrees

What is The sum of b and 11

Answers

B+11 ? I’m not sure is this high school math ?

Rewrite the equation by completing the square.
4x² + 20r + 25 = 0
(x+...)^2=...

Answers

Answer:

The equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] is equal to [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex].

Step-by-step explanation:

Let be the equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex], we proceed to rewrite the equation solely by algebraic means:

1) [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] Given

2) [tex](2\cdot x)^{2} + 10\cdot (2\cdot x) + 25 = 0[/tex] Definition of power/Associative property

3) [tex](2\cdot x + 5)^{2} = 0[/tex]   Perfect square trinomial

4) [tex]2^{2}\cdot \left(x + \frac{5}{2} \right)^{2} = 0[/tex] Distributive property/[tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]

5) [tex]4\cdot (x + \frac{5}{2} )^{2} = 0[/tex] Definition of power

6) [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex] Compatibility with multiplication/Commutative and modulative properties/[tex]a\cdot 0 = 0[/tex]

f(-5)=
Pls help i will mark the brainliest!

Answers

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

Graph and show work hurry plsss
y=179x
Y=105x+2046

Answers

Answer:

y=179x

Y=105x+2046

Step-by-step explanation:

2% of 200 restaurant reviews were negative. How many reviews were negative?

Answers

Answer:

4

Step-by-step explanation:

mark me brainliest pls :)


Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she
walked up 9 flights of stairs, how many flights did she run up?
3
9
12
27
36

Answers

Yvonne ran up 12 flights of stairs.

Explanation:
Understand the situation:

Yvonne ran up 1/4 of the total stairs. Afterwards, she walked the REST of the stairs, which is said to be 9 STAIRS. HOW MANY flights of stairs IN TOTAL did she run up?

When she ran the REST of the stairs, it meant she ran the other 3/4 of stairs because:
1 - 1/4 = 3/4

To add someting, that means that the 9 stairs is 3/4 of the total stairs, so lets fins the total stairs using this information:
9 ÷ 3/4 = 12

LETS CHECK IF 9 IS REALLY 3/4 of 12:
12 x 3/4 = 9

HOPE THIS HELPS
-SpaceMarsh

Answer to the question

Answers

Answer:

x = 4

Step-by-step explanation:

180 = 102 + 24x - 18

102 - 18 = 84subtract 84 from both sides96 = 24xdivide both sides by 44 = x

In a group of students. 20 study Account. 21 Study mathematics 18 study history 7 study account only 10 study mathematics only 6 study account and mathematics only and 3 study mathematics and history only.how many student are there altogether

Answers

Answer:

In total there are 50 students.

Step-by-step explanation:

Since in a group of students 20 study account, 21 study mathematics, 18 study history, 7 study account only, 10 study mathematics only, 6 study account and mathematics only and 3 study mathematics and history only, to determine how many student are there altogether the following calculation must be performed:

7 + 10 + 6 + 3 = 26

Account = 20 - 7 - 6 = 7

Mathematics = 21 - 10 - 6 - 3 = 2

History = 18 - 3 = 15

26 + 7 + 2 + 15 = X

50 = X

Therefore, in total there are 50 students.

A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?

Answers

Answer:

11

Step-by-step explanation:

Multiply 44 by 3 to get the amount of eggs you need total, then divide it by 12 for each dozen of cartons you’ll need to buy. The end result is 11.

Let f (x) = 2x^2 – 7and g(x) = 3x + 1.
Find f (g (-2)).
f(g(-2)) =

Answers

Step-by-step explanation:

g(-2)=3(-2) +1= -6 + 1= -5

f(g(-2))=f(-5)= 2(-5)^2 -7

=2(25) -7

=50-7

=43

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