Let us take a number x
The four consecutive numbers will be
x+1, x+2, x+3
Thus our equation will be
x + x+1 + x+2 + x+3 = 42
4x + 6 = 42
4x = 36
x= 36/4
x= 9
Thus the four numbers are (substitute)
x=9
x+1=9+1=10
x+2=9+2=11
x+3=9+3=12
9,10,11,12
Answer:
Step-by-step explanation:
make y=0
0=-2x+3 (Switch the 3 sides)
-3=-2x (Divide everything by -2, cant have a negative x)
2/3=x or 0.66=x
Answer:
see below
Step-by-step explanation:
V = l*w*h for the rectangular tank
V = 70* 40*40
=112000 cm^3 = 1mL
The water is 84000
Make this a fraction
84000/112000 = 3/4
The water fills 3/4 of the tank
1-3/4 = 1/4
It is 1/4 from the top
Find the volume of the treasure chest
V = 12*10*8 =960
Tower
V = pi r^2
3.14 * 10^2 *10
=3140
Water + chest + tower
84000+960+3140 =88100
This is less than 112000 so the water will not overflow
To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:

Where
is the future value,
is the present value,
is the interest rate and
is the time in years.
2. You have that the bank will double your money in
years. Therefore:

3. Substitute values into the formula and solve for
, as following:

4. By applying natural logarithm, you have:

%
The answer is:
%
Answer:
36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D
Step-by-step explanation: