Answer:
1.04
Step-by-step explanation:
"Complete the following sentence about the yearly rate of change in the amount of money in the account. Round your answer to two decimal places.
Every year, the amount of money in the account increases by a factor of _."
Mdecade(t) = 4900 (1.5)^t, where t is in decades.
One year is 0.1 decades, so M increases by a factor of:
1.5^0.1 = 1.04
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
Answer:
The area of a circle is given by the formula
area=πr2
we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:
r=diameter
2r=362
r=18
By substituting these values to the formula of a circle, we now have:
area= (3.14 ) (18) 2
area=1017.36
But since the window is a semicircle, the area will have to be divided in half, therefore,
area of a semicircle =1017.362
area of a semicircle = 508.68
Thus the window's area is equal to 508.68 sq in.
3/(x +1) = 5/11
(x + 1)/3 = 11/5
x + 1 = 33/5
x = 33/5 - 1
x = 28/5 = 5 3/5
