How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

Answer 1

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

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

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

Learn more about Compounding interest at:

https://brainly.com/question/1570054


Related Questions

Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...

Answers

30, 36, 42

Hope this helped :)

Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $

Answers

The cost of the entrance ticket is $6.

The equation that can be used to represent the information in the question is:

Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)

$81 = 9t + ($3 x 9)

$81 =9t + $27

In order to determine the value of t, the following steps would be taken:

Combine similar terms

$81 - $27 = 9t

Subtract similar terms

54 = 9t

Divide both sides of the equation by 9

t = $6

To learn more, please check: https://brainly.com/question/13813779

Ax+2y=10 through the point (4,3) find the missing coeffecient

Answers

Hi,

Ax + 2y = 10

A*4 + 2*3 = 10

4a + 6 = 10

4a = 4

a = 1

( 4 ; 3 )

↓ ↓

x y

✅(•‿•)

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true


For each right triangle below, find all unknown side lengths and angle measures:

can anyone help for number 8 and 9

Answers

Answer:

10.

here,

h=c

b=5

p=12

,we know that,

h²=b²+p²(pythagoras theorum )

c=5²+12²

c=25+144

c=169

hence the value of c is 169.

Helppppppppppppp helppppppppppppp

Answers

Answer: 2

Step-by-step explanation:

Which expression is a factor of the function's equation? O A. X - 4 OB. 0 O C. X OD. x + 4​

Answers

Answer:

im pretty sure it's A thx

The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.

Answers

Answer:

  19.193 million

Step-by-step explanation:

Put the given value in the formula and do the arithmetic.

  P(220) = 19.71/(1 +61.22e^(-0.03513·220))

  P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)

  P(220) ≈ 19.193 . . . million

19.19293355

Nearest thousandth is 19.193

Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks

Answers

Answer:

$1690

Step-by-step explanation:

equation: 60w+550=s

work: 60(19)+550=s

1140+550=s

1690=s

Pls help I’ll brainlest for correct answer you gotta graph it on the graph too

Answers

Answer:

Slope: -2/3

Y Intercept: 0,-3

Step-by-step explanation:

To find the slope, use the formula (y1-y2)/(x1-x2)

(1-(-1))/(-6-(-3))

-2/3

So the slope is: -2/3

If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)

y = -2/3x + b

insert any point of x and y

-1 = -2/3(-3)+b

-1=-2+b

so b = -3

thus, the Y intercept is 0,-3

See graph attached for graph

ABCD is a parallelogram. Determine the length of BE.

Answers

Answer:

BE = 102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , so

DE = EB , that is

- 8x + 14 = 3 - 9x (add 9x to both sides )

x + 14 = 3 ( subtract 14 from both sides )

x = - 11

Then

BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units

Answer:

A

Step-by-step explanation:I've took the test

2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given inequation:

[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]

[tex]\sf\longmapsto 8x-2<12x+4[/tex]

[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]

[tex]\sf\longmapsto 8x-6<12x[/tex]

[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]

[tex]\sf\longmapsto -6<4x[/tex]

[tex]\sf\longmapsto 4x>-6[/tex]

[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]

[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]

Therefore:

[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]

Find the equation in standard form of the line passing through the points (6, 3) and (1,5)

Answers

Answer:

2x+5y=27

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(1-6)

m=2/-5

m=-2/5

y-y1=m(x-x1)

y-3=-2/5(x-6)

y-3=-2/5x+12/5

y=-2/5x+12/5+3

y=-2/5x+12/5+15/5

y=-2/5x+27/5

y-(-2/5x)=27/5

y+2/5x=27/5

5(y+2/5x)=5(27/5)

5y+2x=27

2x+5y=27

Frederico's checking account balance is -$15, and Neela's checking account balance is -$285. How many times the balance of Frederico's checking account is Neela's checking account balance? A. -19 B. -270 C. 270 D. 19

Answers

Answer:

2

Step-by-step explanation:

the answer is 2 because I need points for my brainly so I can get a 100 on this assignment

Don’t know the answer

Answers

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

2nd option is the correct answer

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

✌️❤️✌️

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3

6*6= 36
3*3*3*3= 81
2*2*2*2*2= 32
5*5*5= 125
So the answer would be-
2^5,6^2,3^4,5^3

Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.



Answers

Assuming you mean it is currently at 20% if it’s total weight, the answer is 45 lb

This is because 20% goes into 100% 5 times so you would multiply 9 by 5 to get 100% of the dog’s weight

A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?

Answers

Answer:

41 1/4 turns

Step-by-step explanation:

create a proportion:

turns / inches = turns / inches

't' = turns

16.5 / 1 = t / 2.5

cross-multiply to get:

t = 41.25 or 41 1/4

Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4

Answers

Answer:

y=24

Step-by-step explanation:

1300 divided by 2 in hurry

Answers

Answer: 650

Step-by-step explanation:

1300 divided by 2 is 650

If you are psting your questions from an assignment i hope that its not against tos

Answer:

650

Step-by-step explanation:

this is the answer have a great day now!

There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?

Answers

Answer:

7

Step-by-step explanation:

since there are 4 dogs for every 6 people,

if we add 3 people, there will be 9 people and 7 dogs.

-6
Which graph represents function g if g(x)= f(2x)

Answers

Answer:

2

Step-by-step explanation:

PLS HELP ME WITH THIS (4 x 1) + (4 x 3)

Answers

Answer:

16

Step-by-step explanation:

4x1 is 4

4x3 is 12

4+12 is 16

Answer:

16

Step-by-step explanation:

What is 9 + 10 I do not know

Answers

Answer:

21, jk its 19 if you really dont know

Step-by-step explanation:

Answer:

9 + 10 = 19

just add it

hope it helps

What is the quotient 931/4?

Answers

Answer:

here's a photo of the calculator to that question


Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5

Answers

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

What is the value of x?​

Answers

again, we're assuming that both triangles are similar, and thus using proportions.

[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

If the food bill is $38.92, then what would the tip be if you want to leave a tip of 15%?

Answers

Answer:

$5.84

Step-by-step explanation:

Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.

Answers

The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

The equations are given as:

[tex]2y = 3x - 4[/tex]

[tex]4x - 2y=4[/tex]

Make y the subject in both equations

First equation

[tex]2y = 3x - 4[/tex]

[tex]y = \frac 32x - 2[/tex]

Second equation

[tex]4x - 2y=4[/tex]

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

A linear equation is represented as:

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

Where b represents the y-intercept

So: By comparison,

[tex]b_1 = 2[/tex] --- the y-intercept of the first equation

[tex]b_2 = 2[/tex] --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

Read more about y-intercepts at:

https://brainly.com/question/4015585

Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?

Answers

Answer

$540

Step-by-step explanation:

hopes this helps

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