An account with $300 gains 0. 5% annual interest compounded continuously. How

many years would it take to reach $600? Round to the nearest whole year and type

your answer into the box.

Formula: A=

Pert

Answers

Answer 1

Answer:

139

Step-by-step explanation:

A = Pe^rt

A = 600$

P = 300$

R = 0.005

T = ?

600 = 300e^(0.005)(t)

t = 138.63


Related Questions

can someone help me? it’s due in a few hours

Answers

Answer:

cars value decreases in value exponentially

Step-by-step explanation:

cant really read it but say that the cars value decreases in value exponentially and compare that to however the other cars decrease in value over time

10. To calculate the area of a rectangle, you multiply the length by the width. If the
length of a rectangle is (2x + 1) and the width is (x - 1), what is the area of the
) -
rectangle?
A. 3x
B. 3x2 - 1
C. 2x2 - x - 1
D. X - 1

Answers

Answer:

Multiply those side lengths using the F.O.I.L method (first-outer-inner-last). Write it longhand then simplify if that’s what is needed.

(x+5)(x-5) = x^2 -5x + 5x -25

the -5x and + 5x cancel each other so it simplifies to x^2 - 25 units squared.

Write the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7). Please help me

Answers

Answer:

y = (2/15) x -(117/15)

Step-by-step explanation:

To write the equation we should know the slope m and the y-intercept b .

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

For points (x1 = -9, y1 = -9) and (x2 = 6, y2 = -7)

m = (-7 - - 9)/(6 - - 9) = (-7 + 9)/(6 +9) = 2 / 15

The general equation of a line is

y= mx + b

Our equation is

y = (2/15) x +b

To find b, substitute one of the two points, we know are on the line, in our equation. For example, we can substitute point (-9,-9)

-9 = (2/15) (-9) +b , multiply -9 by 2/15

-9 = - (18/15) +b, add -18/15 on both sides

-9 + (18/15) = b, find common denominator and add

[(-9 ·15) +18]/15 = b , simplify

-117/15 = b

So our equation is:

y = (2/15) x -(117/15)

Tony is flying from Los Angeles to Boston. His plane ticket costs $605 and the total flight distance is 3,052 miles. What is the cost per mile?

Answers

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?

Answers

Answer:

150ft^2

Step-by-step explanation:

FINDING THE LENGTHS

50 = x + 5 + x + x + 5 + x

50 = 4x + 10

50 - 10 = 4x

40 = 4x

40/4 = x

10ft = x

AMOUNT OF FLOORING

area = l x b

= (10 + 5) x 10

= 15 x 10

= 150ft^2

Dylan owns a bag that contains 7 blue marbles, 5 purple marbles, 12 red marbles, and 6 orange marbles. If he randomly pulls a marble from the bag, What is the probability of him pulling a red marble? What is the probability of him pulling a blue or purple marble?

Answers

Answer:

The probability of him pulling a red marble is 12 to 30. The probability of him pulling a blue or purple marble is also 12 to 30.

Step-by-step explanation:

7+5+12+6=30 (all colors)

12 to 30 red ones

7+5+12+6=30 (all colors) and

7+5=12 (blue + purple)

12 to 30 blue or purple

There are 221 students on a field trip.
. Five students ride in a van.
. The rest of the students fill 6 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus. Enter your response in
the first response box.
Enter the number of students that are on each bus. Enter your response in the second response box.

Answers

The equation that models the students is a linear equation

The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

How to determine the equation?

The given parameters are:

Students = 221

Van = 5

The rest students = 6 buses

Start by calculating the number of students remaining:

Remaining students = 221 - 5

Remaining students = 216

Represent the number of students in each bus with x.

So, we have:

6 buses * x  = Remaining students

This gives

6x = 216

Divide both sides by 6

x = 36

Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

Read more about linear equations at:

https://brainly.com/question/15602982

(h+1)^2=16 solve using square root property

Answers

Answer: h = 3

Step-by-step explanation:

(h+1)² = 16

h+1 = √16

h+1 = 4

h = 3

Hope this helped :)

Answer:

[tex]h=3, \ h=-5[/tex]

Step-by-step explanation:

[tex](h+1)^2=16[/tex]

[tex](h+1)^2=16[/tex]

[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex]                    <== you take the square root of both sides

[tex](h+1) = \±\ 4[/tex]                            <== you take the square root of both sides

[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex]    <== separate into 2 equations and solve

[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]

Hope this helps!

HELPP PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Third one down |2s + 1| -3

Step-by-step explanation:

there is no value of s where it is valid

help me please!! will choose brainlyest if you get it right

Answers

The ones I highlighted are the answer

Determine the probability of choosing a pair need help

Answers

7.5 is the answer have a good day

Please help, again. I really need this grade!

Answers

S= 140/18= 7.77, SD =2.58;
H=1208/18= 67.11, SD= 4.54

(5,63), (7,61), (4,60), (6.5,64), (12,77), (9,72), (8,66),(4,65), ((9,70), (8,69),(7.5,65),(4,62), (6.5,65), (6,66), (11.5,67),(10.5,71), (10.5,74),(11,71)

How much of a radioactive substance must be presented to decay to 80 grams in 12 years if the half-life of the substance is 7.6 years?

Answers

Answer:

Radioactive in half life is 51gram

Step-by-step explanation:

80grams:12years

X :7.6years

12x÷x=x

7.6×80÷12=51gram

Answer:

239 grams.

Step-by-step explanation:

Half life t(1/2) = ln 2 / k

So 7.6 = ln 2 / k

k = ln 2 / 7.6 = 0 0901204

N = No e^-kt

So after 12 years

80 = No / e^(-0.0901204*12)

No = 80 / e^(-0.0901204*12)

= 239.

pls help
Triangle MNP with the vertices M(-6,-8) M(-1,-6) and P(-2,-8) in the line y= -5

Answers

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

Find out more on transformation at: https://brainly.com/question/4057530


please show steps to solve the problem thank you

Answers

Answer:

65 total number of boys

Step-by-step explanation:

In the boys row there are 45 "Blue" boys and 20 "Orange" boys.

You can add these numbers up together to find the answer to this problem.

45 + 20 = 65

65 total number of boys

There is 65 boys in total
45+20 = 65

Find the volume of the prism in terms of y.

Answers

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

the diameter of a circle is 13.8cm. Find the length of its radius​

Answers

Hello!

R = D/2

R= 13,8/2 => 6,9cm

The length of the circle's radius is 6.9 cm.

The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.

Given: Diameter (d) = 13.8 cm

Length of radius (r) = d / 2

r = 13.8 cm / 2

r = 6.9 cm

The length of the circle's radius is 6.9 cm.

To know more about radius:

https://brainly.com/question/13449316

#SPJ2

Which of the following is a defined term?
Angle
Line
Point
Plane

Answers

Answer:

C. Point is a defined term

Step-by-step explanation:

kleann

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem

Answers

Answer: converse alternate exterior angles theorem

Step-by-step explanation:

The angles are alternate exterior angles.

Find the value of 9u-2 given that -7u-7=7 ?

Answers

Answer:

-20

Step-by-step explanation:

when you solve:  -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?

then you get -20

Hey there!

-7u - 7 = 7

ADD 7 to BOTH SIDES

-7u - 7 + 7 = 7 + 7

CANCEL out: -7 + 7 because it give you 0

KEEPs 7 + 7 because it help solve for the u-value

NEW EQUATION: -7u = 7 + 7

SIMPLIFY IT!

-7u = 14

DIVIDE -7 to BOTH SIDES

-7u/-7 = 14/-7

CANCEL out: -7/-7 because it give you 0

KEEP: 14/-7 because it give you the

u-value

NEW EQUATION: u = 14/-7

SIMPLIFY IT!

u = -2


SOLVING FOR : 9u - 2

9u - 2

= 9(-2) - 2

= -18 - 2

= -20


Therefore, your answer is: -20

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $300 each, and the laptop computers cost $350 each. How much would it cost to buy 18 notebooks and 12 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?

Answers

Answer:

$9,600

Step-by-step explanation:

notebook computer : $300

laptop computer : $350

18 x 300 = 5,400

12 x 350 = 4,200

4,200 + 5,400 = 9,600

 find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equation in point slope form

Answers

hello!

=====================================================

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

[tex]\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}[/tex]

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

[tex]\longrightarrow\sf{y-(-8)=3(x-1)}[/tex]

Simplify:

[tex]\longrightarrow\sf{y+8=3(x-1)}[/tex]

and we're done!

=========================================================

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?

Answers

Answer:

Length = 3.6

Width= 2.4

Step-by-step explanation:

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of

the rectangle?

So a rectangle has 2 longer sides and 2 shorter sides.

Knowing the length is 1.5 times the width

and perimeter of 12 centimeters.

The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.

1.5w+1.5w+w+w=12

5w=12

12/5=w

w=2.4

To figure the length just multiply 1.5*2.4=3.6

And That is how you solve it :)

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If you need any help, im at your service :)

Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How much money would Christopher have in the account 42 weeks after opening the account?

Answers

Answer:

I think 5580

Step-by-step explanation:

You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.

Solve the equation . 5x+17=42

Answers

5X + 17 = 42
-17 -17
5X = 42
—— ——
5 5

X = 5

Answer:

x = 5

Step-by-step explanation:

5x+17=42

5x + 17 - 17 = 42 - 17

Can sombody solve this please. :)

Answers

144 x m - 309.6 = 50.4

Add 309.6 to both sides:

144 - 309.6 + 309.6 = 50.4 + 309.6

Simplify the arithmetic:

144 x m = 50.4 + 309.6

Simplify the arithmetic:

144 x m =360

m = 5/2

Find the smallest number by which 350
must be multiplied to give a perfect square.

Answers

Answer:

the smallest number by which 350 by answer is 15

Please help ASAP!!! Thank you!

Answers

Answer: 58 1/3 in^3.

Step-by-step explanation: To find the volume of a pyramid, you need to multiply the length, width, and height and divide it by 3.  The length and width are both 5 and the height is 7, so the equation is 5 x 5 x 7.  The answer to that is 175.  Now, you have to divide 175 by 3, which is 58.33, or 58 1/3, which is your answer.

Let me know if this is right! :)

If the slope of a line is zero the line must be a
line.

Answers

Answer:

Straight along the horizontal axis

Step-by-step explanation:

Hope this helped :)

Helppppppppppppppppppp

Answers

Answer:

8/27

Step-by-step explanation:

It says to use V=s^3.

s is the the side length of the cube which is 2/3 in this case.
So to get your answer you have to do: (2/3)^3 or 2/3 x 2/3 x 2/3.

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