Caridad borrowed $15,500 at 11% ordinary interest for 120 days. After 70 days, she made a partial payment of $3,000. What is the final amount due on the loan? (Round to the nearest cent)
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=> 120 days = approximately 4 months.
=> 15 500 * .11 = 1705 dollars interest
=> 15 500 + 1750 = 17 205 dollars
=> 17 205 dollars - 3000 dollars after 70 days = 14 205 dollars is the amount due
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Hope it help
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Answer:
1. They are equal to 90°
2. They are both right angles so they are equal to 90° and they are on a straight line
3. An isosceles triangle has two sides of equal length
4. Right angles on a straight line
5. Isosceles triangle has two angles that are equal
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At 10 am, Car A is at 30 miles.
Then at 11 am, Car A is at 60 miles and Car B is at 40 miles
At 12 am, Car A is at 90 miles and Car B is at 80 miles
At 1 pm, Car A and B are tied for 120 miles
The very second after Car B passes Car A
Answer: 1:01 pm Car B Passes Car A
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The ratio of Lauren's Age to Kristen's Age =
Ratio of two numbers is a quantitative relationship between two numbers showing that how one number is increasing or decreasing with respect to other number.
If a and b are two numbers then the their ratio r is represented by the equation (1)
Lauren' s Age =
Kristien's Age =
For Finding out the ratio of two numbers we simply divide them.
Let x be the ratio of Lauren's age to Kristen's age, = x = /
.....(2)
On simplifying equation (2) we get
x =
So the ratio of Lauren's Age to Kristen's Age =
For more information please refer to the link below
Lauren's age =
Kristen's age =
ratio of Lauren's age to Kristen's age =
=
=
=
So, the ratio is 5 : m³
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Answers
Answer:
The exact value of is
Step-by-step explanation:
We need to calculate the exact value of
Since,
Put in above
Since,
Therefore, the exact value of is
The exact value of tan(5π/12) is √(2/3).
How to determine the exact value of tan 5pi/12
The exact value of tan(5π/12) can be calculated using trigonometric identities and reference angles.
The angle 5π/12 is not a special angle with a known tangent value, so we need to work with its reference angle, which is π/12.
Using the identity tan(θ) = sin(θ) / cos(θ), we can express tan(π/12) as:
tan(π/12) = sin(π/12) / cos(π/12)
Now, let's find the exact values of sin(π/12) and cos(π/12) using half-angle and double-angle formulas:
sin(π/12) = sin(π/6) / 2^(1/2)
= 1 / 2^(1/2) / 2
= (2^(1/2)) / 4
= √2 / 4
cos(π/12) = cos(π/6) / 2^(1/2)
= 3^(1/2) / 2 / 2^(1/2)
= 3^(1/2) / 4√2
= (√3) / 4
Now, we can substitute these values back into the expression for tan(π/12):
tan(π/12) = sin(π/12) / cos(π/12)
= (√2 / 4) / (√3 / 4)
= (√2 / 4) * (4 / √3)
= √2 / √3
= √(2/3)
Therefore, the exact value of tan(5π/12) is √(2/3).
Learn more about trigonometric identities at brainly.com/question/25618616
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