Samuel is going to invest in an account paying an interest rate of 5% compounded
continuously. How much would Samuel need to invest, to the nearest dollar, for the
value of the account to reach $77,000 in 9 years?

Answers

Answer 1

Answer:

49097

Step-by-step explanation:

Well the answer was in delta math what can I say

Answer 2

Answer:

$49677.4

Step-by-step explanation:

Given data

Interest rate r= 5%

Final amount A = $77,000

time t= 9 years

let us apply the compound interest formula

[tex]A=P(1+r)^t[/tex]

Substitute

[tex]77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55[/tex]

Divide both sides by 1.55

P=77000/1.55

P=$49677.4

Hence the principal amount should be $49677.4


Related Questions

If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE

Answers

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

HELP MWAH WITH YOURS TRULYS MATH

Answers

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Which equation can be used to find the number that can be added to 410 to get 946?
A
- 410 = 946
B
2 + 410 - 946
с
410 - 2 = 946
D
410 + 946
2

Answers

Answer:

its could be 946-410= 536 and 410+536=946

Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?

Answers

Answer:

$19,000 after five years

Step-by-step explanation:

1900 * .5 = 3800    one year

5 * 3800 = 19,000

Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz

Answers

Answer:

a) 4

b) 1

c)2

Step-by-step explanation:

a) 5y - y

= 5 - 1

=4

b) 3×1×1 + 2×1 + 3×0×0

= 3 - 2 + 0

1

c) 2×1×1 - 3×1×1×0

= 2 - 0

= 2

Find the interest rate for a $4600 deposit accumulating to $5994.78, compounded monthly for 4 years

Answers

1,394.78 total interest earned. 348.70 per year

PLEASE HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)

Answers

Answer:

$288

Step-by-step explanation:

to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem

16² + 12² = c²

256 + 144 = c²

400 = c²

20 = c

Area of one eave = 24 x 20 = 480

Area of total roof = 480 x 2 = 960

set up a proportion to find cost ('x'):

30 =  x  

100    960

cross-multiply:  100x = 28800

x = $288

Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)

Answers

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

This expression 8x(6-4) has bracket. When you solve it you need to do in bracket first then do outside. 8x(6-4)=8x2=16
This expression 8x6-4 doesn’t has bracket so you need to do x and / first then you do + and -
8x6-4=48-4=44

PLEASE HELP IM TIMED whats 1 divded by 1

Answers

Answer:

1

Step-by-step explanation:

1 divided by anything is that number. So with that information 1 divided by on would be 1.

Convert the following repeating decimal into a fraction
_
0.16

Answers

Answer:  0.16 converted to a fraction is 4/25

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

11, 21, 31

Step-by-step explanation:

In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

21,

11,

31

Jordan invests £16200 into his bank account
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate​

Answers

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

Answer:

£18,225

Step-by-step explanation:

2.5% of £16,200 = £405

10% of £16,200 = £1,620

5% of £16,200 = £810

5 years: 16,200 + 5 x 405 = £18,225

Which table represents the statement "Di runs at a rate of 4 meters per second " ?​

Answers

Answer:

d=4t

Step-by-step explanation:

Someone pls help! X*2(4x+3^2%)/23/21^2

Answers

Answer:

x+2^23(45*21)

Step-by-step explanation:

y = 15x + 15 How do I interpret the slope and y-intercept?

Answers

Answer:

Look at explanation.

Step-by-step explanation:

The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.

12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?

Answers

Answer:

28 students would vote for kim

Step-by-step explanation:

Well first you do 12/15 which would be 0.8

Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim

Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles

Answers

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangle

What are the steps to draw?

Steps to draw the Pentagon & Triangle are as follow:

First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left corner

So two triangle and one pentagon is produced

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

#SPJ2

If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there

Answers

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

https://brainly.com/question/395066

#SPJ2

Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)

Answers

Answer:

11) 4/11

12) -0.2

Step-by-step explanation:

What are the truth values of Q v ~R?

Answers

Answer:

ttft

Step-by-step explanation:

can i have help please ​

Answers

Answer:

A

Step-by-step explanation:

Megan has a bowl containing $1.95 in pennies and dimes. If she has 3 times as many pennies as she has dimes, how many pennies and how many dimes does she have?

Answers

Answer: she has 15 dimes and 45 pennies.

Step-by-step explanation:

01p+1d=1.95

p=3d

01(3d)+.1d=1.95

p=3.15

03d+.1d=1.95

p=45

.13d=1.95

d=15

Anita made these two statements.
The number 2 is its own opposite.
The opposite of the opposite of 1.5 is 1.5

Fill in the blanks to explain whether theses statements are true or false.

The opposite of 2 is

Answers

Step-by-step explanation:

umm its false cause one thing isn't correct here.

like if we're asked to find the opposite of -5 itll be +5

and in Anita's case, she should have said, that the like for 2 the opposite will be -2 like just change the integers.

like for -, change it to positive and for +, change it to negative

have a great day :)

What the slope of this please help :)

Answers

Answer:

-0.1

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex] - \frac{1}{10} [/tex]

Brainly please help I been asking

Answers

Answer:

114

Step-by-step explanation:

break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)

The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32

Answers

Answer:

x>3

Step-by-step explanation:

3x+2>x+8

   -2      -2

3x>x+6

-x    -x

2x>6

/2   /2

x>3

The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.


What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that inequality is  3x+2>x+8. The inequality will be solved as below,

3x+2>x+8

3x>x+6

2x>6

x>3

Hence, the solution is x>3.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Reflection over the x axis ;vertical shift down 7 units

Answers

I need a picture to find the answer

Help me out to get this math problem solve

Answers

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

what is the sum of the sequence 4 + 9 + 14 + 19 + 504​

Answers

Answer:

550

Step-by-step explanation:

using my brain

Answer:

550

Step-by-step explanation:

common sense.........

Other Questions
If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2) Which mechanism of transport takes place without expending cellular energy? Active Hypotonic Isotonic Passive f(x) = 2x^2-10x+13Find f(-4) simplify the expression -3(-2/5) who made a deal with france to gain land in northern italy in exchange for military support against austria I will give brainiest to whoever answers correctly !! Which of the following is false about DNA?A. DNA is made up of units called nucleotides.B. Any base can pair to any other base.C. DNA contains the instructions to make proteins.D. DNA is found in a cell's nucleus. The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon. i have more im about to post it after this :D plz help and explain i am planning a trip to paris france on january 3 2016how to punctuate this correctly Which is the first major advance in early cultures?the control of firethe beginnings of agriculturethe invention of toolsthe development of civilization Answer please please Weather balloons are sent into the atmosphere to record: (Select all that apply)humiditytemperaturewindpressureprecipitation I really help with this ill mark u brainliest pls Please help me!!!!!!!! 1. The Industrial Revolution was started by many factors. which of the following is NOT one of those factors?A. PPL moving to citiesb. PPL leaving citiesc. innovations in the agricultured. enclosure movement 2. which of the following is not a factor of production that a national needs to industrialize.A. landB. laborC. capitalD. trade systems H. Why did the cultures of ancient Mesopotamia, Egypt, and India NOT develop in isolation Why did the U.S. government support capitalism in the early 1800s? A. The government wanted to discourage farming.B. Businesses would fail unless the government helped them. C. Leaders believed the government shouldn't interfere in people's lives. D. Most government leaders were factory owners. Make a graph that matches the rule y=2x 3.(Need help ASAP)