Answer:
x = - 4
Step-by-step explanation:
i hope its helped. thank you !
Part 1:
Given that a<span>
store had 235 MP3 players in the month of January and that every month, 30% of
the MP3 players were sold and 50 new MP3 players were stocked in the
store.
</span>The number of MP3 players in the store after the previous months sale is given by 0.7f(n - 1) and <span>the number of MP3 players in the store after new MP3 were added is 0.7f(n - 1) + 50.
Therefore, the </span><span>recursive function that best represents the number of MP3 players in the store f(n) after n months is given by </span><span>f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
Part 2:
The average rate of change of a function from a to b is given by

Given that the </span><span>equation showing the value of her investment after x years is given by

Thus, </span><span>the average rate of change of the value of Sophia's investment from the second year to the fourth year is given by

Therefore, the </span><span>average rate of change of the value of Sophia's investment from the second year to the fourth year is 28.25 dollars per year.</span>
Answer: $6000
Explanation:
1) Simple interest means that the interests are calcualted over the original amount borrowed and they are the same every year.
2) yearly interest = interest / number of years = $2400 / 10 = $240
3) the yearly interest equals the amount borrowed times the simple intereset rate:
=> $240 = A * 4%
=> $240 = A * 0.04
=> A = $240 / 0.04 = $6000
You can do the same in one step:
interest = A * simple interest rate * number of years
=> A = interest / [simple interest rate * number of years] = $2400 / [4% * 10]
A = $2400 / (0.04 * 10) = $2400 / 0.4 = $ 6000.
And that is the answer: he borrowed $6000
Answer:
1/36
Step-by-step explanation:
Answer:
Jonelle's
Step-by-step explanation:
Cube is made up of square faces. The sides of a square equal.
The general formula of volume= Area of base X the height of the object
The area of the base of a cube (square) is calculated with the formula: Length X Length = L to the power of 2.
The area of the base must be multiplied by the height of the object to get the volume.
*You already know that all the dimensions on a cube are equal.
Therefore, the height of the cube will be equal to the Length of the square.
Length to the power of two(this is the area of the base) X Length (the length is equal to the height because the object is a cube)
=Length to the power of three.