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saul85 [17]
3 years ago
14

HELP⚠️Which equation represents the line that passes through the points (-3, 7) and (9, -1)?

Mathematics
2 answers:
Alborosie3 years ago
6 0

Answer:

-2/3x+5

Step-by-step explanation:

Goryan [66]3 years ago
5 0

Answer:

y=2/3x-7

Step-by-step explanation:

The slope is 2/3 put it in point slope, simplify it then you get it in slope intercept form.

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Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
The product of 3 and a number x is 23 . What is the value of x?
Scrat [10]
I believed there's a typo in your question
<span>The product of 3 and a number x is 2/3
if so
</span>3x = 2/3
  x = 2/3 * 1/3
  x = 2/9

answer 
x = 2/9


8 0
3 years ago
Please help due today!
Scrat [10]

Answer:

Polygon, quadrilateral, convex, and equilateral.

Step-by-step explanation:

8 0
3 years ago
What is the greatest common factor of 19x7 and 3x5?
Olenka [21]
The greatest common factor of 19x7 AND 3x5 is:     X5

        hope this helps
8 0
3 years ago
Read 2 more answers
Find tan <br> A 8/15<br> B 15/8<br> C 15/7<br> D 8/17
alex41 [277]

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

3 0
3 years ago
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