Answer:
Step-by-step explanation:
Hope this helps!
9514 1404 393
Answer:
$6307.95
Step-by-step explanation:
The compound interest formula can help with that.
A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.
P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95
Momba needs to deposit $6307.95 today to have $8000 in 6 years.
The steps needed to solve the given equation is required.
Adding the opposite value of the constant to both sides.
Divide both sides by the coefficient of the variable.
The solution to the equation is
The given equation is
In order to solve this we first move constants to the side opposite of the variable.
This is done by adding the opposite value of the constant to both sides.
Here is the constant so we add to both sides.
Now, we divide both sides by the coefficient of the variable.
The solution to the equation is
Answer:
- height: 9 chi 6 cun
- width: 2 chi 8 cun
Step-by-step explanation:
The factor-of-ten relationship between the different units means we can combine the numbers in decimal fashion. If 1 unit is 1 zhang, then 1 chi is 0.1 zhang and 1 cun is 0.01 zhang. Hence 6 chi 8 cun is 0.68 zhang.
Let x and y represent the width and height, respectively. In terms of zhang, we have ...
y - x = 0.68
x^2 +y^2 = 1^2
Substituting y = 0.68 +x into the second equation gives ...
x^2 + (x +0.68)^2 = 1
2x^2 +1.36x - 0.5376 = 0 . . . . . eliminate parentheses, subtract 1
Using the quadratic formula, we have ...
x = (-1.36 ±√(1.36^2 -4(2)(-0.5376)))/(2·2) = (-1.36 ±√6.1504)/4
x = 0.28 . . . . . the negative root is of no interest
y = 0.28 +0.68 = 0.96
In units of chi and cun, the dimensions are ...
height: 9 chi 6 cun
width: 2 chi 8 cun
Reflection that will produce an image with endpoints is y=-x
