Answer:
A. When Katina has $280 in her bank account, 4 months have passed. Plug 4 months into Malorie's bank account equation:
a = 50(4) + 100
a = 200 + 100
a = $300
B. Malorie's bank account changes at a greater rate. Katina's bank account amount increases by $20 each month, whereas Malorie's bank account increases by $50.
Ex: month 5
Katina has 300, 20 more than the previous month.
Malorie has 350, 50 more than the previous month
9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
Answer:
Customer has bought too much sand
Step-by-step explanation:
Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.
Volume of a rectangular box = Length * Width * Height
=> 6*5*1.2
=> 36 cubic feet
As mentioned, customer bought a sand box and <u>40 cubic feet of sand.</u>
So,
Volume of rectangular box (R) = 36 cubic feet
Volume of Sand (S) = 40 cubic feet
From analysis
S > R
Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.
Therefore, customer has bought too much sand.
