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3 years ago

Find the slope of the line through pair of point (8,2) and (-4,4)

Mathematics

1 answer:

Kruka [31]3 years ago

8 0

Y2-y1
_____
x2-x1

equal 2-4
-------
8-(-4)
-2 -1
---= -----
12 6

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Xavier is going to invest $3,900 and leave it in an account for 14 years. Assuming the interest is compounded daily, what intere

ozzi

Answer: the interest rate is 6%

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $3900

A = $9200

t = 14 years

n = 365 because it was compounded 365 times in a year.

Therefore,

9200 = 3900(1 + r/365)^365 × 14

9200/3900 = (1 + 0.0027274r)^5110

2.359 = (1.0027274r)^5110

Taking log of both sides of the equation,it becomes

Log 2.359 = 5110 log (1 + 0.0027274r)

0.373 = 5110 log (1 + 0.0027274r)

0.373/5110 = log (1 + 0.0027274r)

0.000073 = log (1 + 0.0027274r)

Taking inverse log of both sides of the equation, it becomes

10^0.000073 = 10^log (1 + 0.0027274r)

1.000168 = 1 + 0.0027274r

0.0027274r = 1.000168 - 1

0.0027274r = 0.000168

r = 0.000168/0.0027274

r = 0.06

r = 0.06 × 100 = 6%

6 0

3 years ago

The height of Mountain P is 1,086 feet.The height of Mountain Q is 4 times the height of Mountain P.The area model shown below r

earnstyle [38]

Answer:

A=4000, B=80, C=24

Step-by-step explanation:

You forgot to put the correct area model, I attached it to the answer.

We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to multiplify it by 4, 6*4=24.

At the end we only sum our

A + 320 + c = 4344 (4 times the height of Mountain P).
1000 + B + 6 = 1086(the height of the Mountain P).

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3 years ago

Simplify the expression 4a 6(a + b) Enter the correct answer. Someone help plz

shutvik [7]

Answer:

4 7 + 4 6

Explanation:

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3 years ago

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A pair of jeans cost $89. A jean jacket costs twice as much. What is the total cost of a jean jacket and 4 pairs of jeans

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Jean jacket cost 178$ and 4 of jeans cost 356$ total is 534

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3 years ago

What are the extremes of the following proportion?

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The correct answer for the question that is being presented above is this one: "D. 3 and 60." The means of the proportion is 15 and 12. The means-extremes property of proportions allows you to cross multiply, taking the product of the means and setting them equal to the product of the extremes.

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