Answer:
Step-by-step explanation:
Answer:
$50,460.87 of interest has been accrued.
Step-by-step explanation:
Richard deposits $193.67 every month into his mortgage.
Each year as 12 months. So after 30 years he will have deposited:
$193.67*12*30 = $69,721.2
At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
Interest is total subtracted by deposits. So
120,182.07 - 69,721.2 = $50,460.87
$50,460.87 of interest has been accrued.
The value of x and y are 9 and 6. Then the measure of the angles ∠A, ∠B, ∠C, and ∠D will be 54°, 36°, 126°, and 144°.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
We know the sum of the opposite angle of the cyclic quadrilateral is 180°.
Then we have
14x + 9y = 180 ...1
4x + 24y = 180 ...2
By solving the equations 1 and 2, we have
x = 9 and y = 6
Then the measure of the angle will be
∠A = 9y = 9 × 6 = 54°
∠B = 4x = 4 × 9 = 36°
∠C = 14x = 14 × 9 = 126°
∠D = 24y = 24 × 6 = 144°
More about the cyclic quadrilateral link is given below.
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Answer: what they said
Step-by-step explanation:
There are five different pasta choices. The probability for you to pick one of them is: 1/5
There are four different flavors. The probability for you to pick one of them is: 1/4
The probability for you to pick both bow ties and cheese sauce is the same as picking ravioli and olive oil, or spaghetti and meat sauce.
The probability is: 1/5 x 1/4 = 0.05
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