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Gnoma [55]
1 year ago
4

ryan invest a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year after 10

years the balance reach $12,855.94 what was the amount of the intiial investment
Mathematics
1 answer:
lord [1]1 year ago
4 0

Answer:

زيتوقزي نيهقوتيمسنستثو. تيتق

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Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in
aliina [53]

Answer:

8

Step-by-step explanation:

Vanillas percentage is 26%

26% of 50 is 13

Chocolates percentage is 42%

42% of 50 is 21

21-13=8

5 0
2 years ago
Candidate A is facing two opposing candidates in a mayoral election. In a recent poll of 300 residents, 98 supported candidate B
babymother [125]

Answer:

[0.4235, 0.5365]

Step-by-step explanation:

Data given and notation  

n=300 represent the random sample taken    

X=300-98-58=144 represent the people that support the candidate A in the sample

\hat p=\frac{144}{300}=0.48 estimated proportion of people that support the candidate A in the sample

\alpha=0.05 represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that support the candidate A.

Confidence interval

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.4235

0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.5365

And the 95% confidence interval would be given (0.4235;0.5365).

0.4235 \leq p \leq 0.5365

8 0
2 years ago
A region in the plane is bounded by the graph of y=1/x, the x-axis, the line x=m and the line x=3m, m>0. the area of this reg
raketka [301]
The correct option is a): "i<span>s independent of m</span>".
 
By the fundamental theorem of calculus:<span><span>A′</span>(m)=<span>1<span>3m</span></span>⋅3−<span>1m
</span>         =0</span> So the area doesn't change with respect to m.
3 0
2 years ago
Read 2 more answers
Solve the equation -10 (g - 6) = -65
Elanso [62]

Step-by-step explanation:

- 10(g - 6) =  - 65 \\  - 10g + 60  =  - 65 \\  - 10g =  - 125 \\   10g = 125 \\ g =  \frac{25}{2}

5 0
2 years ago
A small company's net income for the first six months of the year was $76,500 and for the last six months it was $100,000 what i
Talja [164]
<span>The<u> correct answer</u> is:

153/200.

Explanation<span>:

The amount for the first 6 months is 76500 and the amount for the last 6 months is 100000. This makes the ratio 76500/100000.

Both of these end with two 0's; this means they are both divisible by 100. 76500/100 = 765 and 100000/100 = 1000; this makes the ratio 765/1000.

Since these end with a 5 or a 0, they are divisible by 5; 765/5 = 153 and 1000/5 = 200; this makes the ratio 153/200.

153 is only divisible by 3 or 9; 153/3 = 51 and 153/9 = 17. None of these will divide evenly into 200, so we stop at 153/200.</span></span>
4 0
2 years ago
Read 2 more answers
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