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Stels [109]
2 years ago
5

Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
8 0
Twenty two percentage
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If Sarah invests $5,000 into a fund that earns 6% interest compounded annually, how long will it take for her investment to grow
yarga [219]

Answer:

40

Step-by-step explanation:

so next year her money would be 6% more so:

5000 + (0.6 * 5000) = (1.06) * 5000

So each year she'll have : (1.06)*(last year's money)

So we can say after n years she will have :

((1.06)^n) * 5000

So:

5000((1.06)^n)=50000

n is 39.5

So around 40

6 0
2 years ago
2. Margie Spencer wants to have $100,000 in her savings account in 20 years. If her account pays 6.6% annual
WITCHER [35]

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}

100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P

7 0
2 years ago
1.3.12
kondaur [170]

Answer:

<h3><em>(12, -6)</em></h3>

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X, Y) = [(x1+x2)/2,  (y1+y2)/2]

Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;

X = (x1+x2)/2

6 =  (0+x2)/2

cross multiply

12 = 0+x2

x2 = 12-0

x2 = 12

For 2;

Y = (y1+y2)/2

-2 =  (2+y2)/2

cross multiply

-4 = 2+y2

y2 = -4-2

y2 = -6

<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>

<em></em>

3 0
3 years ago
Lydia ran 10 miles in 120 minutes. How many minutes did she run per mile?
Digiron [165]

Answer:

It took Lydia 12 minutes to run each mile

Step-by-step explanation:

120/10

6 0
3 years ago
Read 2 more answers
Please I need this answer with working... <br> Log 91 - Log 13 /Log 245 - Log 5
kakasveta [241]
The answer is: 1.49
i used a calculator.
7 0
2 years ago
Read 2 more answers
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