Decide which of the following sets of points.
1 answer:
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We have to represent the fraction in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore,
Therefore, is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore,
Therefore, is the second way to represent the given fraction.
Therefore, and
are the different ways to represent the fraction
.
Answer:
a = 8, b =
Step-by-step explanation:
Given the exponential function
f(x) = a
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a [
= 1 ] , then
a = 8
f(x) = 8
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
= b² , that is
b² = ( take the square root of both sides )
b = =
Thus
f(x) = 8
Answer:
$7,544.58
Step-by-step explanation:
We will use the compound interest formula provided 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, change 3.3% into its decimal form:
3.3% -> -> 0.033
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
The balance after 1 year will be $7,544.58
Answer:
∠A = 84°
Step-by-step explanation:
Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.
Angles of a quadrilateral add up to 360°, so:
∠A + 90° + 90° + 96° = 360°
∠A = 84°
