Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?

Answers

Answer 1

Answer:

33 years and 4 months.

Step-by-step explanation:

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months


Related Questions

A certain triangle, one angle measures ten degrees more than the second angle and ten degrees less than the third angle. What is the measure of the smallest angle?

Answers

Answer:

50°

Step-by-step explanation:

Let :

Let the angle = x

Second angle = x + 10

Third angle = x - 10

Sum of angles in a triangle = 180

x + (x + 10) + (x - 10) = 180

x + x + 10 + x - 10 = 180

3x = 180

x = 180 / 3

x = 60

Smallest angle :

x - 10 = 60 - 10 = 50°

Which of the following equations can be used to find the missing angle, x, in the triangle below?

Answers

Answer:

x+84=180

Step-by-step explanation:

a triangle has a total angle degrees of 180

Answer:

x + 84 = 180

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180. So basically, x plus the other two angles would have to equal 180.

Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log, 18

Answers

Given:

The logarithmic expression is:

[tex]\log_718[/tex]

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

[tex]\log_ba=\dfrac{\log_ca}{\log_cb}[/tex]

The given expression is:

[tex]\log_718[/tex]

Using the change-of-base formula, we get

[tex]\log_718=\dfrac{\log_c18}{\log_c7}[/tex]

Where, is a constant and c>0.

Let [tex]c=10[/tex], then

[tex]\log_718=\dfrac{\log_{10}18}{\log_{10}7}[/tex]

Therefore, the correct option is a.

Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Didn't get flu Total Vaccinated 120 380 500 Not vaccinated 160 140 300 Total 280 520 800 How many students were not vaccinated and did not get the flu? O A. 300 B. 380 O C. 160 D. 140​

Answers

Answer:

140

Step-by-step explanation:

ap3x

find the mean of the following numbers 14,17,28,49

Answers

Answer:

27

Step-by-step explanation:

14 + 17 + 28 + 49 = 108

108 / 4 = 27

Please help with 19 and 20 find domain and range

Answers

19. domain (-infinity, infinity) range (-infinity, approaching but never reaching 3) 20. range (-infinity, infinity) domain (approaching but never reaching 2, infinity)

there are 5 green balls, 1 yellow ball,and 4 red balls in a bag. what are the probabilities?
choosing a red:
not choosing yellow:
choosing a blue:​

Answers

Answer:

it is green balls=5

red balls =4

red +green

5+9

=14

HELPP MEE!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

Find the perimeter and Area of the rectangle

Answers

the answer is x^2+5(0) because the theorem matches the equation equally

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

What is the median of the stem and lear plot

Answers

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation:

The table shows a student's work when solving the equation 8x-(4x-3)=5.
Which statemen ais true?

Answers

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

pls helllllllllllllpppppppppp mmmmmmmmeeeeee

Answers

Answer:

Hello! answer: 36

Step-by-step explanation:

6 × 7 = 42 3 × 2 = 6 42 - 6 = 36 therefore the area is 36 hope that helps!

Answer:

40cm^2

perimeter:24cm

Step-by-step explanation:

Area: First of all, you can see that the missing height of the shape is 3cm. By adding 4 and 3, you get 7. Then, by multiplying 7 and the length of the shape (6cm), you get 42cm^2. After that, you have to multiply 2cm and 3cm to get the blank area in the bottom right corner to get 6cm^2. Finally, you can subtract 42cm^2(the whole area) by 6cm^2 (the blank area) to get 40cm^2.

Perimeter: Okay! To get the first missing measurement (the one on the left), you have to imagine 4cm being moved to that side. 3cm is parallel to the missing blank space under the 4cm. This means you have to get 7cm (you add 4 and 3). To get the other missing measurement (bottom of the shape) you must see that 6cm would be parallel to the bottom. Since 2cm is also parallel to the bottom, you would have to subtract 2 from 6 to get the bottom of the shape's length, which is 4. Finally, you would have to add 6, 4, 3, 2, 4 and 7 together to get 24cm.

Help help yes plsssssssss

Answers

5x-3=c Is your answer

What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.

Answers

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation:

Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?

A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2

Answers

Answer:  B

Step-by-step explanation:  To find the best estimation to a simple decimal problem such as this one, first round each value to the nearest tenth, hundredth, or thousandth and then subtract.  So, for this problem, round each decimal to the nearest tenth.  

0.54 - 0.223

0.5 - 0.2

0.3

Please mark brainliest if I did this correctly.

HELP

find the value of x in a circle 8,x, 20,36

Answers

Answer:

8.8 i think

Step-by-step explanation:

There are 5,400 bricks on a pallet. There are 9 crates of bricks on each pallet. How many bricks are in each crate? Enter your answer in the box.

Answers

5400 divided by 9 would be 600

Answer:

600

Step-by-step explanation:

5400/9=600

Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)

drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9​

Answers

The first and third one goes to the left box and the second and fourth one goes to the right box

What is the answer pls I will mark as brainless

Answers

Answer:

-10

Step-by-step explanation:

24+8-(7x6)

HeLP PLEASE OH LORD ITS TIMED 20 POINTS AM I RIGHT??? IF NOT WHATS THE ANSWER

Answers

Answer:

you are correct :D

Step-by-step explanation:

I NEED THIS TOMORROW AT THE LATEST! ITS FOR A 100 POINT TEST AND IM FALLING MATH SO PLEAS HELP!!!! SOS

Evaluate the expression for the given value.

2w+2l when w=7, l=5

Answers

Answer:

Solution given:

we have

2w+2l

when w=7, l=5

2w+2l=2×7+2×5=14+10=24

Step-by-step explanation:

hope it is helpful to you

Solve this inequality. 7d-1<6d

Answers

Answer: d < 1

I used A app and it said that

Dave made two boxes. The sides of the second box are each of the sides of the first box How are the volumes of the two boxes related?​

Answers

Answer:

1/9

Step-by-step explanation:

I figured it out

[tex]\frac{x+1}{x-4} -\frac{x+1}{x^{2} ^}-7x+12[/tex]

Answers

(x+1)/(x-3) hope this helps!

Triangle ADE is proportional to Triangle ABC. Given the side lengths in the diagrams, what is the length of AD?



Group of answer choices

11 in

6 in

8.75 in

8 in

Answers

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.

D battery with radius 0.65 in.

circumference: ___ in.

Answers

Answer:

4.09

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

The circumference of the circular base of the object is 4.082 in

What is circumference?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.

Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in

The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.

Here, if we calculate the circumference of the object, we will get,

The circumference of any circular object given by :-

C = 2π×radius

C = 2×3.14×0.65 = 4.082 in

Hence, the circumference of the circular base of the object is 4.082 in

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ6

HELP FOR BRAQINLIETS
T

Answers

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

Four lines are shown in the graph below.



Which line has the slope with the greatest value?

A
line A

B
line B

C
line C

D
line D

Answers

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?

Answers

Answer:

224 student ride the bus to school each day.

Step-by-step explanation:

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:

G

Step-by-step explanation:

Because it is an equation

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