Answer:
Step-by-step explanation:
I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is
where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:
Begin by dividing both sides by 2 to get
The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so
This is because they are inverses of one another. Taking the natural log of both sides:
Now divide by .062 to get
t = 11.2 years
Answer:
61 3/5
Step-by-step explanation:
we realize that 8 4/5 can be written as [8 + (4/5)]
hence 7 x 8 4/5
= 7 x [8 + (4/5)]
= 7 [8 + (4/5)] (use the distributive property, see attached for reference)
= 7(8) + 7(4/5)
= 56 + 28/5 (convert 28/5 into mixed fraction)
= 56 + 5 3/5
= 61 3/5 (answer)
Answer:
The end points of line segment are:
Using distance formula,
Distance = =
Answer:
To purchase 700 business cards, Jamie needs to pay $43.
Step-by-step explanation:
We are given that Jamie ordered 200 business cards and paid $23 in total.
We are also given that Jamie ordered 500 business cards and paid $35.
We can use the rate of change formula to find the average change.
This can also be represented with:
Therefore, we need to identify our variables.
In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.
We change the amount of business cards that are purchased, which in turn, changes the price.
The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.
Therefore, if we use the coordinate system:
Now, we can name our coordinates. We use this system:
This means that we can name our points:
Revisiting the rate of change formula, we can insert these values.
Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.
The slope-intercept equation is:
We already know m:
We also know x and y (we take them from of the coordinate pairs):
Now, we can substitute these values into the equation and solve for b.
Now, we can set up our linear equation.
Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.
Therefore, the price of 700 business cards is equal to $43.