Adam is going to invest $23,000 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Adam to end up with $51,000?

5/8 = 10/16

The missing value is: 10

Answer: B is 44 degrees.

Step-by-step explanation:

(6x+22)=(7x+16)=90.

x=4

(7(4)+16)=44

Answer:

x= -3

Step-by-step explanation:

7+[tex]\frac{2x}{3}[/tex] = 5

21+2x=15

2x=-6

x= -3

Answer:

x=-3

Step-by-step explanation:

Use PEMDAS to solve. Balance both sides by subtracting 7 from both sides. Then, multiply both sides by 3. Finally, divide the result by 2 to isolate x and you end up with x=-3

Answer:

[tex]∠ACB=40°[/tex]

Step-by-step explanation:

[tex]∠APB=80°[/tex]

[tex]=>∠APB= 2×∠ACB[/tex]

[In Circle, the angle subtend at the centre is double angle subtend at the circumference.]

[tex]=>80° = 2× ∠ACB[/tex]

[tex]=>∠ACB=\frac{80°}{2}[/tex]

Answer:

C. x = 1 3/4

Step-by-step explanation:

7/12 * 9 = 3x/9 * 9

63/12 = 3x -->

(63/12) / 3 = 3x / 3

63/36 = x

x = 7/4 --> 1 3/4

Answer:

the probability of rolling a number greater than 2 is 2/3

Step-by-step explanation:

because 3 4 5 and 6 are greater than two we have 4 numbers greater than 2 so 4/6 is 2/3 when simplified

Answer:

is there supposed to be a picture connected to this?

Answer:

what is the question?

Step-by-step explanation:

please let me know.

thanks

Answer:

28.2 ft²

Step-by-step explanation:

Answer:

1 - (-3) X 2 + (-3) - 5 = ?

To find your answer, first group the same number if there are any. In this situation, there are two -3.

You can take your calculator if you have one and input your information.

In the end, you should get -1 as your final answer.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

Step-by-step explanation:

exponent on 1 is 9

Answer:

11.04

Step-by-step explanation:

Given the data:

29, 15, 22, 52, 38

The mean absolute deviation :

Mean, m = Σx / n

n = sample size = 5

29 + 15 + 22 + 52 + 38 = 156

Mean = 156 / 5 = 31.2

Mean absolute deviation (MAD):

Σ|x - m| / n

(|29 - 31.2| + |15 - 31.2| + |22 - 31.2| + |52 - 31.2| + |38 - 31.2|) / 5

(2.2 + 16.2 + 9.2 + 20.8 + 6.8) / 5

55.2 / 5

= 11.04

Answer:

Step-by-step explanation:

we know that the angle is less than 90,  so there is only one choice for that , the 75° choice.   that also seems about right.  

9514 1404 393

Answer:

  H  y +268 = 12(x +20)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

   y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The first point in the table is (x, y) = (-20, -268), so the equation with these filled in is ...

  y -(-268) = m(x -(-20))

  y +268 = m(x +20) . . . . . . matches F or H

We can see that the values of y change by a lot more than the values of x. That means the slope is a lot more than 1. This observation eliminates choice F, so we are left with ...

  H.  y +268 = 12(x +20)

Answer:

ok ummm

Step-by-step explanation:

Answer:

110 minutes or 1 hour 50 minutes

Step-by-step explanation:

44 divided into 4 since we want to find out how much time it takes to run 1 mile, so 44 divided into 4 is 11

then simply multiply 11 with 10 and the answer is 110

: )

Answer:

Theo practices yoga on Saturday 57 more minutes.

Step-by-step explanation:

With the information provided, you can find the total amount of minutes Theo practices yoga that would represent 100% using a rule of three considering that you know that 24% of his daily yoga practice is equal to 18 minutes:

24%    →    18

100%   →     x

x=(100*18)/24=75

As you need to find how many more minutes does Theo practice yoga on Saturday, you have to subtract 18 minutes that is the amount he has already spent practicing yoga from 75 that is the total amount of minutes he practices yoga:

75-18=57

According to this, Theo practices yoga on Saturday 57 more minutes.

Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²A - sin²B = cos(A + B) . cos(A - B)

Here A = [tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] , B = [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex]

Consider the left side

cos²([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] ) - sin²( [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex] )

= cos([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] + [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex] ) × cos([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] - [tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] )

= cos ([tex]\frac{\pi }{4}[/tex] ) × cos ( A)

= [tex]\frac{1}{\sqrt{2} }[/tex] cosA

=  right side , thus proven

Answer:

two expressions that are equivalent to 7x10^-4

=7/10000or 7/10^4

9514 1404 393

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.

  m + 1 = 6

  m = 5

__

  n = 12

Answer:

3141.59

Step-by-step explanation:

Answer:

The Oort Cloud

Step-by-step explanation:

The Oort Cloud is a predicted collection of icy objects farther away than everything else in the solar system.

Hope this helped!!!

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

Answer:

Part A

Part B

Step-by-step explanation:

Given data:

Find the mean of the data above:

Find absolute deviations, an absolute value of the difference of data and the mean:

Find mean absolute deviation:

Correct choice is C

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

Answer:

B one

They only cross once on the graph

Answer:

84 kilometers per hour.

Step-by-step explanation:

Just the multiplication math and badda bing badda boom.

Answer:

84

Step-by-step explanation:

1 mph=1.60934 kph

52 x 1.60934=83.68568=84 kph

Answer:

The square root of 192

Step-by-step explanation:

It's just the Pythagoras theorem p much

Answer:

yo did anyone have the answer

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

It follows the rule

[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]

Therefore that is the reason why it is called "a squared + b squared equals c squared"

Answer: x=-3/5 and y=13/5

Step-by-step explanation:

I really dont want to explain this answer is correct.