Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?

Answers

Answer 1

Answer:

the answer is 7

Step-by-step explanation:

Compounded Continuously:

A=Pe^rt

A=8600

P=7600

r=0.019

8600=7600e^0.019t

[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]

1.1315789=e^0.019t

In(1.1315789)=e^0.019t

ln(1.1315789)=

\,\,0.019t

0.019t

6.5059977=t

t=7

thxxxx byee


Related Questions

What is the distance between (-2,-8)(7,-3)

Answers

Answer:

[tex]\sqrt{106}[/tex] or 10.29563

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer:

[tex]\displaystyle d = \sqrt{106}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-2, -8)

Point (7, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{106}[/tex]

please help me with full calculations

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

What is the area of a circle with a diameter of 5.4

P.S Show work

Answers

If you use 3.14 in terms of pi, it's 22.8906. If you use the pi symbol, it is 7.29π.

Explanation: You divide 5.4 by 2 to get the radius. The radius is 2.7 The formula for area of a circle is πr^2. You square 2.7 and get 7.29π and then multiply by 3.14 or leave it as 7.29π

a plastic box contains balls of different colors. among them, 18 balls were chosen. what does the number 18 represent?

Answers

Answer:

the amount of that were pulled out

Step-by-step explanation:

Someone answer this for me

Answers

Answer:

I think it is B or 17 ft

Step-by-step explanation:

Hope this helps. Tell me if I'm wrong

Answer: Probably 30

Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.

1.On field day, the P.E. coach divides the students into two groups, Positives and Negatives. He wants to have the same amount of students of each group on each side of a rope, to play Tug-of-War.

He uses the following expression to figure out how many students of a certain group he still needs to create an even match.

–5 + 20

Evaluate the expression and write the answer below. Write only a number, either positive or negative. No letters

Answers

Answer:

-15

Step-by-step explanation:

because -5 + 20 = -15.

The coach needs 15 negative players to join the negative team in order to get 20 players (which would make the teams even)

find the volume of the figure ​

Answers

Answer:

1920

Step-by-step explanation:

Volume of larger rectangular prism: 10 * 8 * 14 = 1120

Volume of smaller rectangular prism: 10 * 10 * 8 = 800

Volume of whole prism: 1120 + 800 = 1920

Hence, your answer is 1920

Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.

Answers

Answer:

A maximum of 4 days

Step-by-step explanation:

Inequality: 95 + 11.50x ≤ 150

Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.

95 + 11.50x ≤ 150

-95                   -95

11.50x ≤  55

/11.50       /11.50

X=4.78260869565

You would round down since he has a budget.

HELPPPPP
What is the area of the actual living room?

Answers

Answer:

The answer is 51,200 in².

Step-by-step explanation:

(4x40)x(8x40)=51,200

What are all the zeros of the function f(x) = 4x^2 + 8x + 3?

Answers

Answer: -1/2 and -3/2

Step-by-step explanation:

X1= -3/2 x2= - 1/2

I think I’m not sure

Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2

Answers

Ok so you have to do the area of three different shapes then add them together so to find the area for the square and rectangle you need to find the sides to be equal so the square is already set you would do 6 times 5 and get 30 so how to do the rectangle is add 7 and 5 and get 12 so you would do 10 - 6 and get 4 and then do 12 times 4 which is 48 so, so far you have 78 for an area but you a triangle so you have a base of 3 because we found that the rectangle is 12 so 15-12 is 3 then we did the side for the rectangle which was 10-6 is 4 so for the triangle you would do 1/2 times 3 times 4 which would be 6 so 78 plus 6 and you would get 84 so A is your answer

A piece of string is 120 centimeters long.

How long would the piece of string measure in meters?.

Answers

Answer:

1.2m

Step-by-step explanation:

1 meter = 100 cm

120cm * (1m/100cm)  = 1.2m

Which ones the right answer?

Answers

The answer is D. (7,8)

You are able to count from 0 to ten, and you always put the x number first!

Hope this helps :)


Help correct get brainly lol

Answers

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

Please help I'm struggling​

Answers

Answer:

the first is  1/5 what are the other options

Step-by-step explanation:

With Company A, you can take a 2.25 hour helicopter ride for $ 270.
With Company B, you can take a 90-minute helicopter ride for $ 180.

Which of the two helicopter companies gives you the best ride for your money?

Answers

Answer:

B

Step-by-step explanation:

The Answer is B
I already take this question before

Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.

Answers

to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.

What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2

Answers

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

-c= 22-4

-c= 18

c= -18

And

15-( d-4)= 17

15- d+4= 17

19-d= 17

-d= 17-19

-d= -2

d= 2

Answer:

D

Step-by-step explanation:

c= -18

d= 2

Slope of the line that passes through (8,-9) and (14,-9)

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?

Answers

Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

Please help I’m strugglinggg Oml and this is due right now

Answers

Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

Which is a number that can be written as a fraction in the form /?

Answers

Answer:

the third one/second one

Step-by-step explanation:

Someone help me with this pls

Answers

answer:

=y^(-4+3)

=y^ (-1)

IF YOU HELP ILL GIVE U FREE COOKIE Charlotte earns 212 minutes of playing video games for every 5 math homework problems she completes. Tonight's homework has a total of 24 math problems. What is the MOST time she will be able to play video games tonight? PLEASE HELLPPPPp

Answers

Answer:

16.96hrs or 1017.6mins

Step-by-step explanation:

24 / 8 = 4.8

212 x 4.8 = 1017.6 mins

16.96 hours

if A={1,2,3,4} and B={3,4,5,6} are two sets,find (A-B).​

Answers

Step-by-step explanation:

[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]

PLS ILL MARK BRAINLIEST (100 points)

Answers

Answer:

For part A:

9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

Step-by-step explanation:

Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)

Answers

Answer:

y = 9 * bˣ

Step-by-step explanation:

y = a * bˣ

9 = a * b⁰ = a * 1

a = 9

4608 = 9 * b³

b³ = 512

b = 8

y = 9 * bˣ

Melissa built a square pyramid out of sand. The base of the pyramid has a side length of 18 centimeters. The height of the pyramid is 26
centimeters.
What is the volume of the pyramid?
A. 624 cm3
B. 1,872 cm
C. 2, 808 cm
D. 4,212 cm
E. 8, 424 cm

Answers

Answer:

C. 2, 808 cm^3

Step-by-step explanation:

Given that

The base of the pyramid is 18 centimeters

And, the height of the pyramid is 26 centimeters

We need to find out the volume of the pyramid

As we know that

The volume of the pyramid is

= 1 ÷ 3 × base^2 × height

= 1 ÷3 × 18^2 × 26

= 2,808 centimeter^3

Hence, the correct option is c.

what is the image of the point (-2,7) after a rotation of 180 degrees counterclockwise about the origin?

Answers

Answer:

(- 7, - 5 )

Step-by-step explanation:

10)
A) x + 2 y = 1
C) x - 2y = 10
B) x-1= 2
D) x – 2y=

Answers

Answer:

B)

Step-by-step explanation:

y-intercept = -2

slope = 1

in slope-intercept form the line would be:  y = x - 2

if we subtract 'x' from each side we get:

-x + y = -2

we don't want to leave 'x' as negative so we can multiply each term by -1 to get:

x - y = 2

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