Answer:
5 chickens
Step-by-step explanation:
Let's set chickens and pigs with variables "c" and "p" respectively.
We know there a 16 animals in all, so there are:
c+p=16
We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:
2c+4p=54
Now we have our system of equations:
c+p=16
2c+4p=54
We are trying to find the number of chickens, so we write the first equation in respect to c.
p=16-c
Substituting the first derived equation to equation two:
2c+64-4c=54
Simplifying:
64-2c=54
2c=10
c=5
So there are 5 chickens.
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,
<span>1.025(1.025x - 1000) = 23517.60
1.025x - 1000 = 22 944
1.025x = 23 944
x = 23 360
Her original deposit was </span><span>£23 360</span>
We'll use PEMDAS which stands for
P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
It tells us the order in how to evaluate math expressions. We start with parenthesis, then move to exponents, etc until we get to subtraction as the last step.
We have parenthesis so we focus on whats inside it. We evaluate 2^0 to get 1. Any nonzero number to the exponent 0 is always 1. In other words, x^0 = 1 where x is nonzero.
So 3(2^0) turns into 3(1) or 3*1
Then we multiply that to get 3*1 = 3
So overall, 3(2^0) = 3
Answer:
Length=5
Width=100
Step-by-step explanation:
area of a rectangle=length x width
500= 5 x 100
500=500