How much must you deposit in an account that pays 7% annual interest compounded yearly to have a balance of $550 after 5 years?
1 answer:
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Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as and the number of chickens there are as
.
Because each sheep has 4 legs, the number of legs for each sheep would be . Similarly, because each chicken has 2 legs, the number of legs for each chicken would be
. Each animal would have 1 head, so the number of heads would just be
and
. Because the number of legs in total are 90,
. Because the number of heads in total are 32,
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, . Then, I would subtract that from the first equation, eliminating
.
. Solving for x gives 13. We can then plug that value into the second equation, making y be
. This means that
and
, meaning that there are 13 sheep and 19 chicken.
<em>Answer</em>
68.4%
<em>Step-by-step explanation</em>
The volume of a cylinder is calculated as follows:
where <em>r </em>is the radius and <em>h </em>is the height of the cylinder.
In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:
In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:
After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, <em>x</em>, represents the volume of cylinder A. We can do this with the help of the next proportion:
Solving for x: