The interest is $175
The formula we'll use for this is the simple interest formula, or: I=P*R*t
Where:
<span><span>P is the principal amount, $5000.00.
</span><span>r is the interest rate, 7% per year, or in decimal form, 7/100=0.07.
</span><span>t is the time involved, 6....month(s) time periods.
</span><span>Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into"year" as well.
Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year. </span><span>So, t is 0.5....year time periods.
</span></span>
To find the simple interest, we multiply 5000 × 0.07 × 0.5 to get that: $175
From the figure, we already have
RT = UT
and
TK = TK
Since these are already conditions for two sides being congruent, we only need an included angle to be congruent. So, the missing information is
∠RTK <span>≅ </span>∠<span>UTK</span><span />
Answer: A: -2x^3 - 6x^2 + 9x
Step-by-step explanation:
f(x) - g(x) is a simple subtraction problem, just like 2 - 1, or 8 - 5. So, treat the functions like normal questions.
> f(x) = 3x^3 - 4x^2 + 6x
> g(x) = 5x^3 + 2x^2 - 3x
> f(x) - g(x)
Substitute these values for f(x) and g(x).
> f(x) - g(x)
> (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)
Now, we combine like terms*:
> For x^3: (3x^3 - 5x^3) = -2x^3
> For x^2: (-4x^2 - 2x^2) = -6x^2
> For x: (6x + 3x) = 9x
*NOTE: Remember that when there is a subtraction sign in front of a group of numbers, all the numbers inside of the parenthesis are multiplied by -1, and get their signs switched.
Putting all of these values together, we get (-2x^3 - 6x^2 + 9x).
Answer:
-224
Step-by-step explanation:
hope it helps
