Can anybody help me with this question?

Mathematics

2 answers:

ankoles [38]2 years ago

8 0

Answer: the answer is (c)

Step-by-step explanation:

Alla [95]2 years ago

7 0

The answer is c cause it’s congruent

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Sum of $1000 was invested for 4 years, and the interest was compounded semiannually. If this sum amounted to $1389.08 in the giv

eduard

The answer is 8%

Compound interest formula is:
A = P(1 + r/n)ⁿˣ
A - the final amount
P - the initial amount
r - interest rate
n - number of compoundings per year
x - time period

We have:
A = $1389.08
P = $1000
r = ?
n = 2 (it is semiannual)
x = 4

A = P(1 + r/n)ⁿˣ
1389.08 = 1000(1 + r/2)²*⁴
1389.08 = 1000(1 + r/2)⁸
(1 + r/2)⁸ = 1389.08/1000
(1 + r/2)⁸ = 1.389
$\sqrt[8]{(1 + \frac{r}{2} ) ^{8}} = \sqrt[8]{1.389} \\ 
1 + \frac{r}{2} =1.04 \\ 
 \frac{r}{2} = 1.04-1 \\ 
 \frac{r}{2} = 0.04 \\ 
r = 2*0.04 =0.08$
r = 0.08 = 8/100 = 8%

7 0

3 years ago

A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all

lora16 [44]

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 $x$ and the number of chickens there are as $y$ .

Because each sheep has 4 legs, the number of legs for each sheep would be $4x$ . Similarly, because each chicken has 2 legs, the number of legs for each chicken would be $2y$ . Each animal would have 1 head, so the number of heads would just be $x$ and $y$ . Because the number of legs in total are 90, $4x + 2y=90$ . Because the number of heads in total are 32, $x+y=32.$

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, $2x+2y=64$ . Then, I would subtract that from the first equation, eliminating $y$ . $2x=26$ . Solving for x gives 13. We can then plug that value into the second equation, making y be $32-13=19$ . This means that $x=13$ and $y=19$ , meaning that there are 13 sheep and 19 chicken.