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egoroff_w [7]
3 years ago
8

Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowe

d $500 to buy a car, which she plans to pay back at a rate of $20 per month.
Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

Carmen will have her loan payed off in 20 months.

Ramona will have her loan payed off in 25 months.

Step-by-step explanation:

Carmen: $800 loan; paying $40 a month

Divide $800 by $40 and you'll get 20 months

Ramona: $500 loan; paying $20 a month

Divide $500 by $20 and you'll get 25 months

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For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
Travka [436]

The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a standard-position angle determined by the point (x, y).

The point is (9, 12)

From the Pythagoras theorem, we can find the hypotenuse(h):

h  = √(9²+12²)

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cscθ = hypotenuse/opposite = 15/12 = 5/4

secθ = hypotenuse/adjacent = 15/9 = 5/3

Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

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4 0
3 years ago
How? (2x^2 - 3x - 4)(x + 7)<br>​
lidiya [134]

Answer:

2 {x}^{3}  +  11{x}^{2}  - 25x - 28

Step-by-step explanation:

Using foil method, Multiply the first term

2 {x}^{2}  \times x = 2 {x}^{3}

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

2 {x}^{2}  \times 7 = 14 {x}^{2}

2 {x}^{2}  \times 7 = 14 {x}^{2}  \:  \:  \: 3x \times  - x =  - 3x

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

- 3x \times 7 =  - 21x

- 4 \times x =  - 4x

Then multiply the last term (-4 and 7).

- 4 \times 7 =  - 28

Combine it you have

2 {x}^{3}  + 14 {x}^{2}   - 3 {x}^{2}  - 21x - 4x - 28

which simplify to

2 {x}^{3}  + 11 {x}^{2}  - 25x - 28

3 0
3 years ago
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