Answer:
The exponential equation is;
y = 0.1•0.5^x
Step-by-step explanation:
Here, we want to get the exponential function represented by the table
Mathematically, the general form of an exponential function is;
y = a•b^x
By getting a and b, we have the exponential function
We can use any of the points;
Let us start with (0,0.1)
0.1 = a•b^0
anything raised to zero is 1
0.1 = a * 1
a = 0.1
Now, we have a
Let us work with the second point to get b
The point is (1,0.05)
0.05 = 0.1•b^1
0.05 = 0.1b
b = 0.05/0.1
b = 0.5
Thus, we have the equation as;
y = 0.1•0.5^x
To do this, we will need to find how much the elevator can hold in all. Multiply 10 by 250 to get 2500. Since it can also hold 10% more, multiply 2500 and 0.10 to find out how much 10% is. You get 250. Add 2500 and 250 to get how much the elevator can safely hold. It would be 2750.
To find out how much more weight can be added, first find out how much weight is on the elevator collectively. (books) 600+ (Jim) 180+ (Gavin) 330 + (Deb) 250 + (Susan) 120 = 1480. Subtract this from the amount the elevator can hold, and you get how much more weight can be added. 2750-1480= 1270.
The elevator can hold 1270 more ibs.
Answer:
x ≤3
Step-by-step explanation:
2(4+ 2x)≥ 5x+ 5
distribute
8+4x ≥ 5x+ 5
Subtract 4x from each side
8+4x-4x≥ 5x-4x+ 5
8 ≥ x+ 5
Subtract 5 from each side
8-5 ≥ x+ 5-5
3 ≥ x
x ≤3
Answer:
60
Step-by-step explanation:
4*5*3=60