Carter is going to invest $79000 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required for carter to end up with $121000?

Answer:

Choice B: Only (-1,-5)

Step-by-step explanation:

With this one, first the equation needs to be reduced into point-slope format.

y+5=2(x+1)

Distributive Prop.

y+5=2x+2

Carry over the 5 to the opposite side.

y=2x-3

Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.

Choice A: X is 5; Y is 10

y=2x-3

y=2(5)-3

y=10-3

y=7

This does not give a y value of 10, so it is false.

Choice B: X is -1; Y is -5

y=2(x)-3

y=2(-1)-3

y= -2-3

y= -5

This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.

Answer:

B, the mean is less than the range

Step-by-step explanation:

mean is 3.38 (rounded)

mode is 3

median is 3

range is 5

The mean is 3.38 and the range is 5, So the mean is less than the range. Option B is the correct one.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Mean = [tex]\frac{1+5+2+3+4+6+3+1+3+4+3+5+4}{13}[/tex]

The mean is 3.38 (rounded)

Median represents the middle value of the given data when arranged in a particular order.

So, the Median would be 3.

Mode is that number that appears most frequently in the given set of data.

So, the Mode would be 3.

The range of a given set of data is the difference between the largest value and the smallest value.

So, the range would be 5

Learn more about mean and median;

https://brainly.com/question/17060266

Answer:

I'm about to share an image with you that explains how to divide fractions!!

Answer:

KCF (Keep Change Flip) 3/4 divided by 2/3. Keep 3/4 change the division sign to mulitplication and flip the 2 and the 3 to an improper fraction of 3/2 and then solve. Just remember KCF and you'll be good. I used to be trash at fractions and now I'm very good thanks to KCF.

Step-by-step explanation:

Answer:

207.24

Step-by-step explanation:

[tex]S_{surface} = S_{side} + 2*S_{base} \\S_{side} = 2\pi RH\\ = 2*3.14*3*8=150.72\\S_{base} = \pi R^{2} = 3.14 * 3^{2} = 28.26\\S_{surface} = 150.72 + 2* 28.26 = 207.24[/tex]

Answer:

B. 210°

hope it helps

have a nice day

Answer:

answer: 150 in sq

Step-by-step explanation:

All we have to do to these is multiply 2.5 by the base and height then multiply base × height so 2.5 × 8 = 20 2.5 × 3 = 7.5

20 × 7.5 = 150 Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Solution given:

length [l]=breadth [b]=40ft

Now

length of concession banner[h]=?

we have

perpendicular [p]=base[B]=40ft

by using Pythagoras law

h²=p²+b²

h²=40²+40²

h=√3200

h=40√2

So

the length of the concession stand to determine if the school banner can fit across the length of the concession stand is 40√2 ft or 56.57ft

Answer:

3

Step-by-step explanation:

Answer:

x = -2, y = -4, or (-2, -4).

Step-by-step explanation:

5x + y = -14

5x - 3y = 2

If we look at the first equation, we can see that y can be easily isolated.

5x + y = -14

Subtract 5x from both sides.

y = -5x - 14

Now we have a variable that we can plug into the second equation.

5x - 3y = 2

5x - 3(-5x - 14) = 2

Distribute the -3 across each term in the parentheses.

5x + 15x + 42 = 2

Combine like terms.

20x + 42 = 2

Subtract 42 from both sides.

20x = -40

Divide both sides by 20 to isolate x.

x = -2

Plug in x = -2 back into one of the equations to find y.

y = -5x - 14

y = -5(-2) - 14

Multiply.

y = 10 - 14

Subtract.

y = -4

Our solution is x = -2, y = -4, or (-2, -4).

Check your answer by plugging both values into one of the equations.

5x - 3y = 2

5(-2) - 3(-4) = 2

-10 + 12 = 2

2 = 2

Your answer is correct.

Hope this helps!

Answer:

I have the same question but with one more number.

anyways-

30 or 15? (i dont know, maybe look at the other answer?)

Step-by-step explanation:

Answer:

B. 5/16

Step-by-step explanation:

Multiply each side by the reciprocal of 2/5 to solve for x

(2/5)(1/8)=x

2/16=x

Answer:

Apple

Orange

Step-by-step explanation:

Apple has the greater median with a median value of 150 which is more than that of orange at 130

The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.

Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.

So first you beg your mom to seduce your teacher then all you needa do is sit back in that class

Answer:

i amm not sure

Step-by-step explanation:

The number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.

The highest common factor (HCF) is discovered by identifying all common factors of two integers and then picking the greatest one. For example, the common factors of 8 and 12 are 1, 2, and 4. The greatest common factor is four.

Jordan wants to split up his socks and shoes into groups. If he has 6 pairs of shoes and 14 pairs of socks. Therefore, she can divide the pair of socks and shoes only into groups of 2, because two is the HCF of 6 and 14.

Hence, the number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.

Learn more about HCF:

https://brainly.com/question/17240111

#SPJ2

Answer:

value of x = 12

value of y = 8

Answer:

5%

Step-by-step explanation:

Let x represent the percentage of people that have gone to both the park and the beach.

The percentage of people that have gone only to the amusement park = 80% - x% = 80 - x

The percentage of people that have gone only to the beach = 45% - x% = 45 - x

Therefore:

100% = (80 - x) + (45 - x) + (x) + (15)

100 = 80 + 45 + 15 -x - x + x

100 = 140 - x

x = 140 - 100

x = 40%

Therefore 40% of the students have gone to both the park and the beach.

The probability that the student has gone to the beach but not to an amusement park = 45% - 40% = 5%

Answer:

6 yd

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Hope this helps <3

Answer:

=1/6

Step-by-step explanation:

First of all you have to find the lcm of the two denominators which are, 3 and 2

Lcm of 2 and 3 =6

Then divide 6 by by the denominators and multiply by numerators, which gives you

(4-3) / 6

After solving the above, we then arrive at 1/6 as our answer.

Answer: A) -7 + 2.5

Step-by-step explanation:

- and - makes +, which makes -(-2.5) a +2.5

Answer:

381.7 ... hope this helped

Step-by-step explanation:

V=

4

3

π

r

3

d=

2

r

Solving forV

V=

1

6

π

d

3

=

1

6

π

9

3

≈

381.70351

Answer:

381.7 mm cubed

Step-by-step explanation:

To find the volume of a sphere is V=4 /3πr³

----------

Since they give you the diameter, you have to divide by 2, so:

9 ÷ 2 = 4.5

When you plug in 4.5, you get you answer.

---------

Have a good day :)

Answer:

277.1 feets

Step-by-step explanation:

Drop height = 120 feets

Ball bounces 2/5 of previous height

Height after 1st bounce :

120 * 2/5 = 48 feets

Return distance = 48 feets

Height after second bounce :

48 * (2/5) = 19.2 feets

Return distance = 19.2 feets

Height after 3rd bounce :

19.2 * (2/5) = 7.68 feets

Return distance = 7.68 feets

Height after 4th bounce :

7.68 * (2/5) = 3.072 feets

Return distance = 3.072 feets

Height after 5th bounce :

3.072 * (2/5) = 1.2288 feets

(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328

= 277.1 feets

Answer:

Step-by-step explanation: