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Scilla [17]
3 years ago
9

Write an equation in slope intercept from of the line that passes through the point (3,-2) with slope -2

Mathematics
1 answer:
patriot [66]3 years ago
6 0

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-2(x-3) \\\\\\ y+2=-2x+6\implies y=-2x+4

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F Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding
vladimir2022 [97]

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

<h3>How long would it take $1000 to become $1,400?</h3>

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

  • FV = future value
  • PV = present value
  • r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

To learn more about how to determine the number of years, please check: : brainly.com/question/21841217

#SPJ1

5 0
2 years ago
Please help fast i need help ​
Nutka1998 [239]

Answer:

omg

I

1. 3×3×3×3 = 81

2. 2²a³

3. (-5)³ (-5×-5×-5) = -125

4. 1

5. a^m-n

II

1. 1.6807× 10⁴

2. (7×7×7) × (2×2×2×2×2×2) = 21952

3. 32²

4. 2187

5. 803025

3 0
2 years ago
Read 2 more answers
help me brainlist if you right Mona is inviting 10 friends to a party. Each friend wants 5 cookies and each box has 10 cookies.
seropon [69]

Answer:

its 5 boxes

Step-by-step explanation:

5 0
3 years ago
There are currently 18 pit bulls at the pound. Of the 18 pit bulls, four have attacked another dog in the last year. Joe, a memb
laila [671]

Answer: 0.7748

Step-by-step explanation:

Given : Number of bit bulls at the pound = 18

Number of pit bulls have attacked another dog in the last year =4

The proportion of pit bulls have attacked another dog in the last year:p=\dfrac{4}{18}\approx0.22

Number of the pit bulls selected = 6

The probability of that none of the pit bulls in Joe's group attacked another dog last year :  P(0)=(1-0.22)^6=0.225199600704\approx0.2252

By using binomial , the probability that at least one of the pit bulls in Joe's group attacked another dog last year is given by :-

P(x\geq 1)=1-P(x

Hence, the required probability = 0.7748

3 0
3 years ago
If a certain trip takes 40 minutes when you travel 50 miles per hour, how many minutes would it take if you travel 40 miles per
vitfil [10]

Answer:

It would take 50 minutes

Step-by-step explanation:

<u>Distance, velocity and time</u>

The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by

\displaystyle v=\frac{x}{t}

We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation

x=vt

The given time is expressed in minutes, we need to convert it to hours. 40 minutes is \frac{40}{60}=0.6666...\ hours. The distance is

\displaystyle x=(50)(0.666..)=33.33\ miles

If the speed was 40 miles/hour, the same distance would be covered in t hours, taken from the above equation as

\displaystyle t=\frac{x}{v}

t=\frac{33.33}{40}=0.8333\ hours = 0.83333*60= 50\ minutes

4 0
3 years ago
Read 2 more answers
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