Answer:
5
Step-by-step explanation:
The inverse of 
is 
.
since 
.
Note: In general, the inverse of 
is 
.
Answer:
$104.19
Step-by-step explanation:
We will use the compound interest formula to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 5% into a decimal:
5% -> 
-> 0.05
Now, plug the values into the equation:
After 3 years, Maria will have $104.19
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:
x + y = 25 and 4x + 3y = 84
The first one would refer to the number of tiles and the second one to number of edges.
We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with x = 25 - y which would look like this:
4 (25 - y) + 3y = 84
Solve.
100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16
Then:
x = 25 -y
x = 25 - 16
x = 9
So the answer is that there are 9 square tiles and 16 triangular tiles.
Answer:
T = 96
Step-by-step explanation:
From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:
T ∝ 1/H
T = K/H
Cross multiply
K = TH
Next, we shall determine the value of K. This can be obtained as follow:
H = 8
T = 120
K =?
K = TH
K = 120 × 8
K = 960
Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:
H = 10
K = 960
T =.?
T = K/H
T = 960/10
T = 96
