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mash [69]
3 years ago
12

Plz explain.

Mathematics
1 answer:
slega [8]3 years ago
8 0
Idk, why does the world need problems like this, not like everyone is going to grow up to be a math teacher.
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Question 19
atroni [7]

Answer:

When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.

Hence, option (A) is true.

Step-by-step explanation:

<u><em>BACKGROUND KNOWLEDGE ABOUT EXPONENTIAL GROWTH</em></u>

We know that an exponential increase in Math can be termed as the rapid increase of an amount by percentage over a certain period of time.

It can be expressed using the formula

y = a (1+b)ˣ

here

y represents the final amount

a represents the original amount

b represents the growth factor

x represents the time that has passed

Now, let is us map our problem because it indicates the same concept.

<em><u>SOLVING THE QUESTION</u></em>

Given the function

A\left(t\right)=2000\left(1+0.0412\right)^{12t}

Here

A(t) represents the final amount

2000 represents the original amount

0.0412 represents the growth rate

t represents the number of years

Thus,

When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.

Hence, option (A) is true.

8 0
2 years ago
someone please help, write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.
Bess [88]

Answer:

y=7x-47

Step-by-step explanation:

(8, 9) = (x_1,y_1) \\ m = 7 \\ y  - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)

y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47

7 0
3 years ago
Prove that: 16sin20.sin40.sin60.sin80=3​
olga nikolaevna [1]

to prove that 6720. Sin 40. Sin 60. 80 equals 3 you'd have to divide 16 by 20 multiply subtract both sides by 3 which is 24x + 6x + 8x + -14 equals 40 40 + 20 equals 16 - -40 equals 80 which equals to 3

6 0
3 years ago
Could someone pls explain this step by step? Really simplify it pls because I don't understand it at all.
Lunna [17]

Answer:

  • y = 2x -6
  • y = -x +2
  • y = 4/5x -2
  • y = -3/2x +4

Step-by-step explanation:

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

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For these equations, writing them in slope-intercept form means "solve for y." You always do any "solve for ..." problem by undoing the operations that are done to the variable. Addition is undone by adding the opposite. Multiplication is undone by division.

As always, whatever operation we perform on one side of the equal sign must also be performed on the other side. That is how the equal sign remains valid.

__

<h3>a)</h3>

  1/2y = x -3

All we need to do is get rid of the coefficient of y. We can do that by dividing by 1/2, or multiplying by 2. The latter is easier to see, perhaps.

 2(1/2y) = 2(x -3)

  y = 2x +2(-3)

  y = 2x -6

__

<h3>b)</h3>

  x +y = 2

Here, we need to undo the addition of x. We do that by adding (-x) to both sides of the equation.

  -x +x +y = -x +2

  y = -x +2

__

<h3>c)</h3>

  4x -5y -10 = 0

This is a combination of the above operations. We can separate the y-term from the others by either subtracting the others, or adding the opposite of the y-term. We choose the latter, because that will give a positive coefficient for y. Adding 5y to both sides gives ...

  4x -5y +5y -10 = 5y

  5y = 4x -10 . . . . . . . . simplify and put y on the left

Now, we need to divide by the coefficient of y. We do that to both sides of the equation.

  5y/5 = (4x -10)/5

  y = 4/5x -10/5

  y = 4/5x -2

__

<h3>d)</h3>

  3x = -2y +8

We have a constant with the y-term. To get rid of it, we add its opposite to both sides.

  3x -8 = -2y +8 -8

  3x -8 = -2y

As before, we divide by the coefficient of y:

  (3x -8)/(-2) = (-2y)/(-2)

  -3/2x +4 = y

  y = -3/2x +4

3 0
2 years ago
The area of a square can be found using the equation A=s^2, where A is the area and s is the measure of one side of the square.
MaRussiya [10]
A = 81 square in.

s = sqrt(A)

s = sqrt(81)

s = 9 in.
8 0
3 years ago
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