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Salsk061 [2.6K]

3 years ago

15

How do I find the answer to this word problem. Farmer Doug has some pigs and chickens. One day he counted 24 legs and 7 heads in

the barnyard. How many of each animal did Farmer Doug count?

1 answer:

Nutka1998 [239]3 years ago

3 0

Answer:

19

Step-by-step explanation:

24 legs=12 animals

$\frac{24}{2} = 12$

Because every animal has 2 legs.

Total= 12+7=19

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How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the int

s2008m [1.1K]

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

$A= Pe^{rt}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously , $A=1000e^{3.7\times5/100}$

⇒ $A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013$

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

$A=P(1+\frac{r/4}{100} )^{4t}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, $A=1000(1+\frac{3.7/4}{100} )^{4\times5}$

⇒ $A=1000(1+\frac{3.7}{400} )^{20}$

⇒ $A=1000(1+\frac{3.7}{400} )^{20}$

⇒ $A= 1202.19567617$

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228

4 0

3 years ago

Read 2 more answers

100 is what percent of 250?

alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 250, so we can write it down as 100%=250.

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x - we multiply both sides of the equation by x

100=2.5*x - we divide both sides of the equation by (2.5) to get x

100/2.5=x

40=x

x=40

now we have:

100 is 40% of 250

6 0

3 years ago

Read 2 more answers

In 25 minuets, 400 customers entered the attraction, at this rate how many customers would enter the attraction in 1 hour? Use r

OverLord2011 [107]

Answer:

960!

Step-by-step explanation:

25/5=5. 400/5=80. 80 people would enter in 5 minutes. 5x12=60, and 80x12=960!

6 0

3 years ago

Collect data from all your family members and write down their heights (in cm).

bija089 [108]

Answer:

mode : the value that appears most frequently in a data set

mean : te everage of all number

median : the middle number in a sorted, ascending or descending

range : the difference between the largest and smallest numbers.

ANSWER ;

mode : none

mean : 145.4 ( you need to add all the number and divide by how many your family member)

median : 159

range : 80 ( the largest - the smallest)

4 0

3 years ago

What is -7/12 + 3/8?

inna [77]

Answer:

- $\frac{5}{24}$

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers