A person invested $30,000 in stocks and bonds. Her investment in bonds is $3000 more than half her investment in stocks
How much did she invest in stocks? How much did she invest in bonds?

Answer:

An equation of the circle with centre (-2,1) and radius 3 is [tex]\mathbf{(x+2)^2+(x-1)^2=9}[/tex]

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

[tex](x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9[/tex]

So,  an equation of the circle with centre (-2,1) and radius 3 is [tex]\mathbf{(x+2)^2+(x-1)^2=9}[/tex]

Option D is correct.

Answer:

c ?

Step-by-step explanation:

Answer:

[tex]\mathrm{A.} \: \frac{5}{14}\cdot \frac{4}{13}\\[/tex]

Step-by-step explanation:

There are 14 marbles in total, of which 5 of them are red. Therefore, the probability that the first marble she chooses is red is [tex]\frac{5}{14}[/tex].

Since she does not replace the marble, there are now 13 marbles in total, of which 4 are red (she drew one of the red marbles on her first draw). Therefore the probability of her drawing a red marble on her second draw is [tex]\frac{4}{13}[/tex], assuming she draws a red marble on the first draw.

Thus, the probability she draws a red marble on both draws is [tex]\fbox{$\mathrm{A.} \: \frac{5}{14}\cdot \frac{4}{13}$}[/tex].

Answer:

16/24

Step-by-step explanation:

4/6 = 16/24

Answer:

whar that so easy

Step-by-step explanation:

yes is all correct I just check it but check it on a calculator too

Answer:

[tex]\displaystyle 23[/tex]

Step-by-step explanation:

[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]

I am joyous to assist you at any time.

Answer:

c

Step-by-step explanation:

2.68

Answer:

yes

Step-by-step explanation:

y=5+5/1

5/1= rise/run

Answer:

Yes

Step-by-step explanation:

when you go over one (x), you go up five (y), on the chart. That's the definition of a slope - rise/run.

Answer:

the answer is 8

Step-by-step explanation:

;)

Answer:

104.4 for A.

Step-by-step explanation:

Answer:

Ty for the free poiunts!

Step-by-step explanation:

You got the answer right LLO

Answer:

Yea the answer is right

Step-by-step explanation:

Answer:

The best course grade your friend can earn is 0.867 = 86.7%.

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.

Step-by-step explanation:

This is a weighed average problem, in which we multiply each grade by its weight.

We have that:

In 70% of the course, the friend has a grade of 81%.

In the other 30%, he will have x.

What is the best course grade your friend can earn?

This will happen if he earns 100% = 1 on the final test. So

[tex]G = 0.7*0.81 + 0.3*1 = 0.867[/tex]

The best course grade your friend can earn is 0.867 = 86.7%.

What is the minimum score would your friend would need on the final to earn a 75% for the course?

This is x, when the grade is 0.75. So

[tex]0.75 = 0.7*0.81 + 0.3x[/tex]

[tex]0.3x = 0.75 - 0.7*0.81[/tex]

[tex]x = \frac{(0.75 - 0.7*0.81)}{0.3}[/tex]

[tex]x = 0.61[/tex]

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.

The probability that the numbers on the broken calculators are at least 16 will be 0.9997.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

There are 30 calculators numbered 1-30 in a case. If 4 of the calculators are broken.

Then the probability that the numbers on the broken calculators are at least 16 will be

Number of ways to get a sum less than 16 = 1234, 1235, 1236, 1237, 1238, 1239, 2345, 2346 = 8

Probability = 1 – 8 / (³⁰C₄) =  1 – 8/27405 = 0.99970808246

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

16 this is the real answer

Step-by-step explanation:

Hope this help

Answer:-61/20

Step-by-step explanation:

Answer:

-3 1/20

Step-by-step explanation:

The denominators share a common multiple of 20.

-5/4 = -25/20

-9/5 = -36/20

-25/20 + -36/20 = -61/20 = -3 1/20

Answer:

30

i hope it helps

Answer:

m∠BAC=135°

Step-by-step explanation:

360- 84=276

276-141=135

Hope this helps!

Please mark me brainliest if you can. :)

Answer:

1/63 x (27xexponent2 - 102x - 154)

Step-by-step explanation:

I hope this helped you, if not I'm sorry I tried my best. Best of luck

Step-by-step explanation:

¹1litre =100cl

5 litres =500cl

0.66cl=y

cross multiply

500÷0.66 =7

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

Answer:I think is 18 divided by 6

Step-by-step explanation:

Because they are saying each that is your clue word that means you need to divide.

I hope it helps :)

Answer:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

Answer:

a=8

Step-by-step explanation:

solve for a by adding 5 on both sides

4a=32

Now divid 4 on both sides

a=8

que

Step-by-step explanation:

usye sane epañol...

Explanation: In this expression, +2w, +4w, and +8w are called terms and the numbers in front of the variables, +2, +4, and +8 are called coefficients.

Because the variables are identical,

the three terms in this problem are called like terms.

They can be added together by adding their coefficients.

Since 2 + 4 + 8 is 14, 2w + 4w + 8w is 14w.

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula: