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laila [671]
3 years ago
14

What is the center of a circle represented by the equation (x+4)^2 + (y-8)^2=36

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

Answer:

The center of circle reprsented by given equation is (h,k) = (-4,8)

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State the extremes of the proportion below. 4/7=12/x
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\frac{4}{7}  =  \frac{12}{x}  \\  \\ 1. \:  \frac{4}{7}x  = 12 \\  \\ 2. \:  \frac{4x}{7}  = 12 \\  \\ 3. \: 4x = 12 \times 7 \\  \\ 4. \: 4x = 84 \\  \\ 5. \: x =  \frac{84}{4}  \\  \\ 6. \: x = 21

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Work out 27 ÷ 9 + 9 <br> Work out 4 + 5 x 3<br> Work out -9 + -4<br> ) Work out 9 - -5
san4es73 [151]

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

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What is the inverse of f(x)=1.5^x+4
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Answer:

Step-by-step explanation:

4 0
3 years ago
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre
sveticcg [70]
To solve this, we are going to use the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount after t years
tex]P[/tex] is the initial investment 
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the time in years

We know form our problem that the initial invest is <span>$30,000 and the period is ten years, so </span>P=30000 and t=10. We also know that the interest is compounded one time per year, so n=1. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{7.9}{100}
r=0.079
Lets replace the values in our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=30000(1+ \frac{0.079}{1} )^{(1)(10)}
A=3000(1+0.079)^{10}
Replacing A with P_{10}:
P_{10}=3000(1+0.079)^{10}

We can conclude that the correct answer is D. P_{10}=3000(1+0.079)^{10}

Now, to find <span>much Yolanda will have after 10 years, we just need to perform the operations in our equation: 
</span>P_{10}=3000(1+0.079)^{10}
P_{10}=30000(1.079)^{10}
P_{10}=64170.54

We can conclude that Yolanda will have $64,170.54 in her account after ten years of earning <span>a compound interest rate of 7.9% per year.</span>
5 0
4 years ago
According to the Corporate Travel Index compiled by Business Travel News, the average daily cost for business travel in the Unit
DENIUS [597]

Answer:

260.1615 ; 70.688 ; (53.787 ; 103.304)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Data:

242.87

260.93

194.19

260.76

355.36

346.32

165.37

250.08

326.76

283.56

212

284.08

139.16

436.72

240.87

310.41

223.73

181.25

238.2

250.61

Using calculator :

Sample mean = ΣX / n

Sample mean = 5203.23 / 20

Sample mean, m = 260.1615

Sample mean, m = 260.2

Sample standard deviation (s) :

Σ(X - m) / n - 1

= 70.688

= 70.7

((n-1)*s²) / ²0. 975, 19 ; ((n-1)*s²) / ²0.025, 19

95% confidence interval :

(53.787 ; 103.304)

3 0
3 years ago
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