We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
To divide these complex numbers you have to multiply by the conjugate of the denominator. That will look like this:
. Multiply straight across the top and straight across the bottom to get
. In the denominator, the 12i and -12i cancel each other out, which is nice. Now, in both the numerator and the denominator we have an i-squared. i-squared is equal to -1, so we will make that substitution in our solution:
. Doing the math on that we have
. We can simplify that as well as write it in standard form:
. Now we will get it into legit standard form, separating the real part of the complex number from the imaginary part.
. That can be reduced to its final answer of
. There you go!
90 is 1/10 of 900 Hope this helps :)
Answer:
( - , - )
Step-by-step explanation:
Given the 2 equations
8x = 2y + 5 → (1)
3x = y + 7 → (2)
Rearrange (2) expressing y in terms of x by subtracting 7 from both sides.
y = 3x - 7 → (3)
Substitute y = 3x - 7 into (1)
8x = 2(3x - 7) + 5 ← distribute and simplify right side
8x = 6x - 14 + 5
8x = 6x - 9 ( subtract 6x from both sides )
2x = - 9 ( divide both sides by 2 )
x = -
Substitute this value into (3) for corresponding value of y
y = 3 × - - 7 = - - = -
Solution is (- , - )
Answer; 1
Step-by-step explanation:
18/20-3/5
15/15