The number that you are trying to find is 5
Answer:
The amount is $16718.7 and the interest is $4718.7.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$12000 , r=3.33% , n=4 and t=10 years
After plugging the given information we have
AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7
STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:
A16718.7II=P+I=12000+I=16718.7−12000=4718.7
Answer: 
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated with the following formula:
Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.
In this case, you can identify that the length, the width and the height of this rectangular prism given in the exercise, are:
Then, knowing its dimensions, you can substitute them into the formula:
Finally, evaluating, you get that the volume of that rectangular prism is:
Answer:
8
Step-by-step explanation:
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
