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3 years ago

Extra points! Please just show me how to set this up so I can solve, I don't need the answer. Thank you!

Mathematics

1 answer:

GREYUIT [131]3 years ago

4 0

Answer:

Step-by-step explanation:

Think of of this as a function in which the number of pounds is a function of the number of hours. Each piece of given information is a point. Each point has the format (x, y) = (hours, pounds), where hours is x and is the independent variable, and pounds is y and is the dependent variable.

You have two points (4.5, 1445) and (7, 2320). First find the slope of the line that passes through those two points. Use the slope formula,

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

Then using the slope and the point-slope equation of a line, find the equation of the line. The point-slope equation of a line is

y - y1 = m(x - x1),

where m = slope, and the point is (x1, y1).

Try it. If you have questions or need extra help, just comment.

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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:

BACKGROUND KNOWLEDGE ABOUT EXPONENTIAL GROWTH

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.

SOLVING THE QUESTION

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

The value of square root of -9 is not -3 because

andriy [413]

Answer:

The square root of -9 cannot be -3 because -3 squared or -3 times -3 equals 9 not -9.

Hope this helps!

6 0

3 years ago

Find a whole number between 9 4/9 and the square root of 144

postnew [5]

First, we'll want to write out the equation
$9 \frac{4}{9} < n < \sqrt{144}$

then reduce what we can
$9 \frac{4}{9} < n < 12$

so this means n can equal any whole number between 9 4/9 & 12, which gives us the options of {10,11}

$n = 10 \: or \: 11$

7 0

3 years ago

What is the area of the figure on the coordinate plane below?

Ksivusya [100]

Even numbers on die: 2,4,6odd numbers on die: 1,3,5 3+3=6 -> 6 numbers in total3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2

6 0

3 years ago

The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.

Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

5 0

3 years ago