Answer:
a. The initial amount of money that was left in this savings account was of 5000.
b. Decrease of 2% each year.
Step-by-step explanation:
Exponential function:
An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:
In this question, we have:
a. What was the initial amount of money that was left in this savings account?
This is y(0) = 5000
The initial amount of money that was left in this savings account was of 5000.
b. What is the percent of change each year in this savings account?
First as a decimal.
1 - r = 0.98
r = 1 - 0.98
r = 0.02
So a decrease of 2% each year.
You can see how the difference between two consecutive terms is constantly increasing:
So, for the next terms we'll have to add +9, +11, +13 and so on.
Also, note that 
is obtained by adding the 2nd odd number to 
, 
is obtained by adding the 3rd odd number to , and so on.
So, the recursive formula is
For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have
Answer:
- Mass
- Surface area
- Volume
Step-by-step explanation:
The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle, or surface of a solid (3-dimensional) object
<u>Mass </u>
A property of a physical body and a measure of its resistance to acceleration when a net force is applied.
<u>Surface </u>
The area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
<u>Volume </u>
The Measure of the amount of space that a substance or an object takes up.
There are always 180° in a triangle, so to work out the missing angle, you add up the angles you have and do 180 - that answer.
So it would be:
79 + 37 = 116
180 - 116 = 64.
y = 64 :)
Step-by-step explanation:
4.5x-2.3=6.7 (add 2.3 so no number in the equation)
6.7+2.3 is 9
4.5x=9 (divide by 4.5 as it's 9 is divisible by 4.5
9/4.5 is 2
X=2
put it back into the equation
4.5*2 is 9
9-2.3 is 6.7
Therefore X=2
