Answer:
B
Step-by-step explanation:
in parallel lines, corresponding angles on each line must be the same.
You can also tell that 2 obtuse angles aren't supplementary as they don't add up to 180 degrees.
Answer:
The value of the bond when Tyler's mom purchased it was $150
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem
r=4%=4/100=0.04
b=1+0.04=1.04
substitute
where
x is the number of years since the savings bond was purchased
f(x) is the value of the savings bond
For x=1
f(x)=$156
substitute
Solve for a
therefore
The value of the bond when Tyler's mom purchased it was $150
Answer:
$878.25
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.
Here, P = 560, r = 0.09, and t = 5.
A = 560e^(0.09×5)
A = 878.25
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
brainly.com/question/1463152
Answer:
x= 7
Step-by-step explanation:
11x-2 = 75
11(7) - 2
77 - 2 = 75
x= 7
