A person invests 6000 dollars in a bank. The bank pays 5.75% interest compounded daily. To the , how long must the person leave the money in the bank until it reaches 11600 dollars?

Answer:

18.83% (nearest hundredth)

Step-by-step explanation:

Continuous Compounding Formula

[tex]\sf A=P(e)^{rt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\sf \implies 1300=420(e)^{6r}[/tex]

[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]

[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]

Taking natural logs of both sides:

[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=0.1883108054...[/tex]

Therefore, the interest rate is 18.83% (nearest hundredth)

Answer:

6c + 16a = T :)

Step-by-step explanation:

We only know how much the cost for the children is, 6, so we put a variable c after it :)

We only know how much the cost for the adults is, 16, so we put a variable a after it :)

I put T to show a varibale for the total :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

slope: 5

y-intercept: 0

Equation: [tex]y=5x[/tex]

Step-by-step explanation:

First, lets find the slope.

Every time we have an increase in [tex]x[/tex], we have an increase in [tex]y[/tex].

To find that change, we will divide the changes in [tex]y[/tex] using two points.

I will be using the points [tex](1,5), (2,10)[/tex]

[tex]\frac{10-5}{2-1}[/tex]

[tex]=5/1[/tex]

[tex]=5[/tex]

Therefore, the slope is 5.

Next, lets find the y-intercept. The y-intercept is where the line goes through the y-axis.

We can go back 1 x-value (since when x = 1, y = 5)

Subtracting our slope (5) from the y-value for 1, we get:

[tex]y=0[/tex]

Therefore, the y-intercept is 0.

Finally, lets find the equation.

Linear equations are in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Plugging those values in we get: [tex]y=5x+0[/tex]

Which will be simplified down to [tex]y=5x[/tex]

#LearnWithBrainly

Step-by-step explanation:

The Amplitude is 4

The period is 2π

The midline is y=1.5

OPTION 1, 3,6

Answer:

See below ~

Step-by-step explanation:

Answer:

$2.25 is the discounted price for each gallon.

Step-by-step explanation:

So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.

Have a nice day!

Answer:

x = -8

Step-by-step explanation:

I will show each step algebraically. If you need further explanation, feel free to ask questions :)

[tex]\frac{x}{2} +7=3\\[/tex]                     Rewrite

[tex]\frac{x}{2} =-4[/tex]                        Subtract 7

[tex]x =-8[/tex]                        Multiply by reciprocal (2/1)

I hope this helps!

Answer:

X = -8

Step-by-step explanation:

So we will start with subtracting 7 from 3, which is -4.

So now you have x/2 = -4

Now we have to find what divided by 2 equals -4 so, we do 2 x -4, which is -8.

This is how we get our answer, x = -8

Answer:

3.4

Step-by-step explanation:

The opposite of a number is the same as the additive inverse of the number.

Two numbers are opposites, or additive inverses, if they add to zero.

For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.

The opposite of -3.4 is 3.4.

Answer: 3.4

The opposite of a positive number is a negative number.

The opposite of a negative number is a positive number.

-3.4 is a negative number, so its opposite is a positive number.

Hence, the answer is 3.4

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

Ones in red are common ones

1,5,25

Answer:

pretty sure the answer is 8 1/2 cups

Step-by-step explanation:

9 m length and 5m width.

perimeter

perimeter of rectangle= l+l+b+b

= 9+9+5+5

= 28m

Answer:

The zeros of f are x = (0,2)

Answer:

(A.

Explanation:

In A, line AD straight into BC, thus creating two 90 degree angles. This means that they are perpendicular.

(: Hope this helps

Solution 1

7(g - 19) ≥ -14

7g - 133 ≥ -14

7g  ≥ -14 + 133

7g ≥ 119

g ≥ 17

Solution 2

3(7g+17) > -19 + 14g

21g + 51 > -19 + 14g

21g - 14g > -19 -51

7g > -70

g > -10

Solution 3

6(-6g + 6) > -2(19g - 17)

-36g  +36 > -38g + 34

-36g + 38g > 34 - 36

2g > -2

g > -1

Answer:

Your answer is -3

Step-by-step explanation:

Set the functions equal to each other, then solve for the variable.

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

The best reason is Subtraction Property of Equality.

The correct option is (B)

The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.

Given:

AB + 6 = 24

So,

AB= 24-6

AB = 18 (Subtraction Property of Equality)

Hence, the best reason is Subtraction Property of Equality.

Learn more about Subtraction Property of Equality here:

https://brainly.com/question/9070018

#SPJ2

Answer:

666.888.000.333

Step-by-step explanation:

yeah I said what I said

bye

Answer:

(26 points for an answer... but anywho...)

Step-by-step explanation:

Hot air balloon: (20E, 10N)

Plane: (20E, 20S)

Whale: (10E, 20N)

Ship: (20W ,10S)

Bridge: (10W ,20S)

Truck: (15W, 20N)

I hoope this helps :)

Answer:

i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.

Step-by-step explanation:

Hot air balloon (20,10)

Plane (20,20)

whale(10,20)

ship (20,10)

bridge (10,20)

truck(15,20)

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

Read more about proportionality constant at:

https://brainly.com/question/12242745

Answer:

82

Step-by-step explanation:

because diagonals are equal in quadrilater

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

22.9

Step-by-step explanation:

Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.

The areas listed that are possible areas of the square quilts Garrett can make will be 0.25, 0.81, etc.

Your information is incomplete as your didn't give the areas listed. Therefore, an overview will be given.

It should be noted that the area of a square is simply gotten by multiplying the side by itself. For example, if a side is 4cm, the area will be 4 × 4 = 16cm².

In this case, we are told that each patch has an area of 1 ft. Therefore, the square of the area gotten should not be more than 1 feet. Possible values include:

0.5 × 0.5 = 0.25

0.9 × 0.9 = 0.81

Learn more about area on:

https://brainly.com/question/25292087

Garrett is cutting square patches from old sports jerseys. Each

patch has an area of 1 ft?. He wants to put some of the

patches together to make square quilts.

Which areas listed below are possible areas of the square

quilts Garrett can make? What side length will each of

those square quilts have? Show your work.

Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

Answer: 450

Step-by-step explanation:

Answer:

$2000 with payments of $320 a month

Step-by-step explanation:

360 x 6 = 2160

2160 + 2400 = 4560

320 x 6 = 1920

1920 + 2000 = 3920

Answer:

dealer A

Step-by-step explanation:

A: 360×6=2160

2400-2160=240

they save $240

B: 320×6=1920

2000-1920=80

they save $80

Answer:

  9

Step-by-step explanation:

The scale factor is the ratio of a Figure B dimension to the corresponding Figure A dimension.

__

The ratio of left-side dimensions is ...

  scale factor = fig B/fig A = 81/9 = 9

The scale factor is 9.

Answer:9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

x

=

2

,

−

4

You can expand these and find the answer :

[tex]4^{6} : 4^{2} = 4.4.4.4.4.4 :4 : 4 = 4.4.4.4.(4:4).(4:4) = 4.4.4.4.1.1 = 4.4.4.4 = 4^{4}[/tex]

Basically, to simplify this, the only thing you have to do is minus the powers if divided, and add the powers of multiplied.

Answer:

Step-by-step explanation:

the area of the mat.

22 + 3= 25

8 + 3= 11

= 25 inches long by 11 inches wide.

25 × 11= 275 in^2

the area of the mat is 275 in^2.

Answer:

0.0332

Step-by-step explanation:

Min put too many zeros in front of 33.2. 33.2 with 3 zeros in front is 0.0332