Answer:
US$ 132.45
Step-by-step explanation:
See attachment for the missing table.
Given:
Richard’s checking account balance at the beginning of the week = $57.34
<u>Richard’s account balance at the end of the week from the given table:</u>
Deposits of the week = US$ 163.75
Expenses of the week = Groceries + Credit card bill + Gas
Expenses of the week = 25.37 + 50 + 13.27
Expenses of the week = US$ 88.64
Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week
Replacing with the real values:
Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64
=US$ 132.4
9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
it is raining if and only if the ground is wet
Step-by-step explanation:
Answer:
pi/4 + kpi (choice #1)
Step-by-step explanation:
