Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x
10 = x
Answer:
The function represents a direct variation
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form 
or 
In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m
Let
------> the line passes through the origin
Find the value of k------> substitute the value of x and y
-----> 
Find the value of k------> substitute the value of x and y
-----> 
Find the value of k------> substitute the value of x and y
-----> 
Find the value of k------> substitute the value of x and y
-----> 
The value of k is equal in all the points of the table and the line passes through the origin
therefore
The function represents a direct variation
the equation of the direct variation is equal to
Answer:
y=5,902,060*(.957)^t
Step-by-step explanation:
Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.
The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.
First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.
Now plug the numbers into the equation.
y=5,902,060*(1-0.043)^t
Simplify what's inside the parenthesis and get your final equation.
y=5,902,060*(.957)^t
Answer:
$1.68
Step-by-step explanation:
Remember that cents are in the hundredths place. So think of it as rounding to the nearest hundredth place. 1.6845 ---> 1.68
Charlie spent $89 more dollars on ice cream than on yogurt. He spent a total of $96 on ice cream and $7 on yogurt. If you subtract 7 from 96 you get 89.
$96- $7= $89
