Lakin invests $7000 in an account that gets 8% apr compounded annually. If she does not make any deposits or withdrawals, how much money will be in the account after 8 years?ñ

Option B: [tex]x=\frac{8}{3}[/tex] is the solution

Explanation:

The given expression is [tex]\log _{2} 9 x-\log _{2} 3=3[/tex]  

We need to determine the solution for the given expression.

The solution can be determined by solving the expression for x.

Adding [tex]\log _{2} 3[/tex] to both sides of the expression, we have,

[tex]\log _{2}9 x=3+\log _{2}3[/tex]

Using the logarithmic definition that if [tex]\log _{a}(b)=c[/tex] then [tex]b=a^{c}[/tex]

Thus, we have,

[tex]9 x=2^{3+\log _{2}3}[/tex]

[tex]9 x=2^{3}\cdot 2^{\log _{2}3}[/tex]

Simplifying, using the identity [tex]a^{\log _{a}(b)}=b[/tex], we have,

[tex]9 x=8\cdot 3[/tex]

Multiplying, we get,

[tex]9x=24[/tex]

Dividing both sides by 9, we have,

[tex]x=\frac{24}{9}[/tex]

Simplifying, we have,

[tex]x=\frac{8}{3}[/tex]

Thus, the solution of the expression is [tex]x=\frac{8}{3}[/tex]

Answer:

B. x = eight-thirds

Step-by-step explanation:

edge 2021 ;)

Answer:

370 millimeters

Step-by-step explanation:

Have a nice day :)

Step-by-step explanation:

1 cm = 1 millimeters

[tex] \therefore \: 37 \: cm \: = 37 \times 10 = 370 \: mm[/tex]

Answer:

The Answer is (A).

Step-by-step explanation:

hope this helps chu :)

Answer:

Its A

Step-by-step explanation:

I did the test! Hope this helps<3

Answer: The answer is 270 decimeters

Step-by-step explanation:

There are 10 decimeters in a centimeter.

27 times 10 is 270.

So the answer is 270 decimeters.

Answer:

h = S - 2πr²     /2πr

Step-by-step explanation:

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

To solve;

S = 2πrh + 2πr²

The first thing to do is to subtract 2πr²  from both-side of the equation

S - 2πr²  =   2πrh  +  2πr² - 2πr²

S - 2πr²  =   2πrh

Then next is to divide both-side of the equation by 2πr

S - 2πr²  /  2πr  =  2πrh /2πr

On the right-hand side of the equation 2πr at the numerator will cancel-out 2πr at the denominator, leaving us with just h  while on the left-hand side of the equation S-2πr² will be divided by 2πr)

S - 2πr²  /  2πr     =      h

Therefore the result should be h = S - 2πr²  /  2πr

Answer:

A) [tex]h =\frac{s}{2\pi r} -r[/tex]

Step-by-step explanation:

[tex]s = 2\pi rh + 2\pi r^2[/tex]

[tex]s = 2\pi r (h + r)\\h + r =\frac{s}{2\pi r} \\h =\frac{s}{2\pi r} -r[/tex]

[tex]\bf \textit{arc's length}\\\\ s = \cfrac{\pi r\theta }{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=27\\ \theta =32 \end{cases}\implies s = \cfrac{\pi (27)(32)}{180} \\\\\\ s = \cfrac{24\pi }{5}\implies s\approx 15.08[/tex]

Answer:

8a-5a=3a

Step-by-step explanation:

8-5=3, basically simple subtraction, just bring the variable to the other side.

Answer:

1 - 4x

Step-by-step explanation:

Combine like terms.

To simplify the expression, we can combine like terms.

= 1 + 3x - 7x

= 1 + (3x - 7x)

= 1 + (-4x)

= 1 - 4x

Note that this is not required but its something that should done, which is turn the equation into standard form.

= -4x + 1

Best of Luck!

Answer:

  yes

Step-by-step explanation:

Any ratio of two integers is a rational number, as long as the denominator is not zero.

Answer:

y= 3x + 1

Step-by-step explanation:

For Plato

Answer:

B) x < 7

Step-by-step explanation:

−8x + 40 > −16

Subtract 40 from each side

−8x + 40-40 > −16-40

-8x > -56

Divide each side by -8, remembering to flip the inequality

-8x/-8 < -56/-8

x <7

Step-by-step explanation:

this one is easy to graph your answer on a number line draw a filled in circle on the number 36 and an open circle on the number 48 then you shaed between the two numbers

The required number line has been attached which represents the given information.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

We have been given that a child must be greater than or equal to 36 inches tall and less than 48 inches tall.

Let the height of the child would be x

According to the given situation, we can write the inequality would be as:

⇒ 36 ≤ x < 48

As per the above inequality, we can draw the required number line.

Thus, the required number line has been attached which represents the given information.

Learn more about the number line here:

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Answer:

2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2

The value of the constant in the equation that relates the height and width of the rectangle is 2

The given expression is:

H(w)  =  constant  x  w

where w represents the width

H represents the height

The point (w,  H) is given as (10, 20)

That is:

w  =  10,   H  = 20

Substitute w = 10 and H = 20 into the equation H(w) = constant x w

20   =   constant  x  10

constant =  20/10

constant  =  2

Therefore, the value of the constant in the equation that relates the height and width of the rectangle is 2

Learn more here: https://brainly.com/question/15005929

Answer:

The range is 4

Step-by-step explanation:

To find the range, you subtract the lowest number from the highest number.

Example:  If the set was:  1, 2, 6, 6, 8, 10

What is the highest number:  10

What is the lowest number: 1

You will do this -> 10 - 1 = 9

Problem:  8, 9, 9, 8, 8, 5, 8​

What is the highest number:  9

What is the lowest number:  5

9 - 5 = 4

Answer:  The range is 4

Answer:yes because 34-12=22

Step-by-step explanation:

Answer: I would develop a savings plan with my parents. Then I would research what scholarships and grants were available. I would wait until I was ready to attend college before filling out the FAFSA. Finally, I would review the results from the FAFSA and determine the best financial aid options.

Step-by-step explanation:

Answer:

i dont want to go and noone can make me

Step-by-step explanation:

Population of Egypt in 2005 is 72.64 million.

Step-by-step explanation:

We have ,The estimated population of Egypt in 2011 is about 81 million. this is a 1.8% growth rate over the previous year. According to question , population in year 2010 = population in year 2011 - 1.8% of population in year 2011 i.e.

population in year 2010 = [tex]81 - \frac{81(1.8)}{100}[/tex] =  79.52 million

Similarly, population in year 2009 = [tex]79.52 - \frac{79.52(1.8)}{100}[/tex] = 78.10 million

population in year 2008 = [tex]78.10 - \frac{78.10(1.8)}{100}[/tex] = 76.70 million

population in year 2007 = [tex]76.70 - \frac{76.70(1.8)}{100}[/tex] =  75.32 million

population in year 2006 = [tex]75.32 - \frac{75.32(1.8)}{100}[/tex] =  73.97 million

population in year 2005 = [tex]73.97 - \frac{73.97(1.8)}{100}[/tex] = 72.64 million

Therefore, population of Egypt in 2005 is 72.64 million.

Final answer:

To find Egypt's population in 2005 given a 1.8% annual growth rate and a 2011 population of 81 million, we rearrange the exponential growth formula and calculate backward, resulting in an estimated population of approximately 74.8 million in 2005.

Explanation:

The question involves calculating the population of Egypt in 2005, given its estimated population of 81 million in 2011 and an annual growth rate of 1.8%.

To find the population in 2005, we use the formula for exponential growth: P = [tex]P_oe^{rt[/tex],

where P is the future population, P₀ is the initial population, r is the growth rate, t is the time in years, and e is the base of the natural logarithm.

However, in this scenario, since we are calculating backward and we know the future population,

we rearrange the formula to find the initial population: P₀ = [tex]\frac{P}{e^{rt}}[/tex]

Using a growth rate of 1.8% (or 0.018 as a decimal) over 6 years (from 2005 to 2011), the formula becomes:

P₀ = [tex]\frac{81 \text{ million}}{e^{0.018*6}}[/tex]

After calculation, we find that the population of Egypt in 2005 would be approximately 74.8 million.

Answer:

1-10m/s

2-20m/s

3-5/m/s

4-5m/s

5-1500m/s

Step-by-step explanation:

using formula of speed i.e. speed=distance/time or v=s/t. solve for all five cases.

we get,

1- v=s/t=600/60 =10m/s

2- v=s/t=100/5 =20m/s

3- v=s/t =400/80=5m/s

4-v=s/t=2500/500=5m/s

5-v=s/t=3000/2=1500m/s

1. The average speed of a car that travels 600m in 60 seconds is 10 m/s

2. he average speed of a cyclist who travels 100m in 5 seconds is 20 m/s

3. The average speed of a train that travels 4000m in 80 seconds is 50 m/s

4. The average speed of a bus that travels 2500m in 500 seconds is 5 m/s

5. The average speed of a bus that travels 2500m in 500 seconds is 1500 m/s.

To calculate the average speed, we use the following formula:

Average speed = Distance / Time

1. Average speed of a car that travels 600m in 60 seconds:

Average speed = 600m / 60s = 10 m/s

2. Average speed of a cyclist who travels 100m in 5 seconds:

Average speed = 100m / 5s = 20 m/s

3. Average speed of a train that travels 4000m in 80 seconds:

Average speed = 4000m / 80s = 50 m/s

4. Average speed of a bus that travels 2500m in 500 seconds:

Average speed = 2500m / 500s = 5 m/s

5. Average speed of a rocket that travels 3000m in 2 seconds:

Average speed = 3000m / 2s = 1500 m/s

Please note that the unit of speed can vary depending on the context. For example, we can express speed in meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).

For such more question on average

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(-1.2,-2.0) and (1.9,2.2) are the best approximations of the solutions to this system.

Option B

Step-by-step explanation:

Here, we have a graph of two functions from which we need to find the approximate value of common solutions. Let's find this:

First look at where we have intersection points, In first quadrant & in third quadrant.

At first quadrant:

Draw perpendicular lines from x-axis & y-axis from this point . After doing this we can clearly see that the perpendicular lines cut x-axis at x=1.9 and y-axis at y=2.2. So, one point is (1.9,2.2)

At Third quadrant:

Draw perpendicular lines from x-axis & y-axis from this point. After doing this we can clearly see that the perpendicular lines cut x-axis at x=-1.2 and y-axis at y=  -2.0. So, other point is (-1.2,-2.0).

Answer:

Step-by-step explanation:

Angle 1 = 1, 3, 5, 7

Angle 3 = 1, 3, 5, 7

Angle 4 = 2, 4, 6, 8

Pretty much just look at the congruent symbols and you can figure it out.

Answer:

Multiply by 2 and subtract 1

Step-by-step explanation:

If we consider the sequence term by term

n = 2 → 2(2) - 1 = 4 - 1 = 3 ← the second term

n = 3 → 3(2) - 1 = 6 - 1 = 5 ← the third term

n = 5 →  5(2) - 1 = 10 - 1 = 9 ← the fourth term

n = 9 → 9(2) - 1 = 18 - 1 = 17 ← the fifth term

Answer:

C. Multiply by 2 and subtract 1.

Step-by-step explanation:

2 × 2 = 4. 4 - 1 = 3

3 × 2 = 6. 6 - 1 = 5

5 × 2 = 10. 10 - 1 = 9

9 × 2 = 18. 18 - 1 = 17

Solution:

The volume of a container varies jointly with the square of its radius, r, and its height, h

Therefore,

[tex]v \propto r^2h\\\\v = k \times r^2h ----------- eqn\ 1[/tex]

The  container has a height of 10 centimeters, and radius of 6 centimeters, and a volume of 377 cubic  centimeters

Substitute v = 377 and h = 10 and r = 6 in eqn 1

[tex]377 = k \times 6^2 \times 10\\\\377 = 360 \times k\\\\k = \frac{377}{360}\\\\k = 1.047 \approx 1.05[/tex]

What is the volume of a container with a radius of 4 centimeters and a height of 4  centimeters?

Substitute k = 1.05 and r = 4 and h = 4 in eqn 1

[tex]v = 1.05 \times 4^2 \times 4\\\\v = 1.05 \times 16 \times 4\\\\v = 67.2[/tex]

Thus volume of a container with a radius of 4 centimeters and a height of 4 centimeters is 67.2 cubic centimeter

The volume of the container with a radius of 4 cm and a height of 4 cm is 201.088 cm³.

To find the volume of a cylinder, we can use the formula:

V = πr²h

Given that the container has a height of 10 cm, a radius of 6 cm, and a volume of 377 cm³, we can substitute these values into the formula:

V = 3.142 × (6 cm)² × 10 cm

After evaluating the expression, we find that the volume of the container is 1130.152 cm³.

To find the volume of the container with a radius of 4 cm and a height of 4 cm, we can substitute these values into the formula:

V = 3.142 × (4 cm)² × 4 cm

After evaluating the expression, we find that the volume of the container is 201.088 cm³.

Answer:

0.7499 miles per minute

Step-by-step explanation:

Google "what is 45 mph to minutes"

Answer:

0.7499

Step-by-step explanation:

45 miles per hour

this equals 45/60 miles per minute

which then equals 0.7499

Answer:

Jen has 12 stamps.

Step-by-step explanation:

Answer: Jen has 27 stamps

Step-by-step explanation:

Let the number of stamps Jack has be y.

Since Jen has 3times of Jack stamps, Jack's stamp is 3×y which is 3y.

Jack's stamp+Jen's stamp= 36

y+3y = 36

4y = 36

y = 9

So Jack has 9 stamps and Jen has 9×3 which is 27 stamps.

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{14}{x}[/tex] = [tex]\frac{56}{16}[/tex] ( cross- multiply )

56x = 14 × 16 = 224 ( divide both sides by 56 )

x = 4

Answer:

14 dollars.. hope it helps!

Step-by-step explanation:

7+5+1+1=14

Final answer:

Evelyn initially has $7, and after Liz gives her a $5 bill and two $1 bills, Evelyn's total money becomes $14.

Explanation:

The question asks us to calculate how much money Evelyn has after Liz gives her additional cash. Initially, Evelyn has $7. Liz gives her one $5 bill and two $1 bills. To find out the total amount of money Evelyn has now, we simply need to add the amounts together:

Original amount Evelyn has: $7
Liz gives her: 1 x $5 bill = $5
Plus: 2 x $1 bills = $2
Total amount after receiving money from Liz: $7 + $5 + $2 = $14

Therefore, Evelyn now has a total of $14.

Answer:

No

Step-by-step explanation:

This is not an integer because integers can be positive or negative but never decimals or fractions.

Answer:No

Integers are whole numbers.

Answer:

1. The information from the problem illustrates the number of hours flo and bryan works jointly to mow the lawn.

2. The question demonstrates the numbers of hours worked by the two individuals i.e. flo and bryan to mow the lawn. Find the numbers of hours worked i.e h=? by flo and bryan to mow the lawn.

3. H/3+h/6=1

Take LCM i.e. (2H+H)/6=1

Now add H and and move the 6 on the other side and multiply, that becomes

3H=6

Now take 3 on the other side and divide by 6, which becomes the answer i.e. H=2.

4. Variables are H and values are the hours worked.

5. The problem in this question , why the number of hours are missing which we have to find and gives it a sense that how many hours needed to mow a lawn.

6. The time takes for both of them to mow lawn is 2 hours, which is flo works more than bryan to mow a lawn.

7. If you want to check that your anser is correct put the answer in the equation, if both sides come same then the answer is correct, for instance in the same quwstion where answer is H=2. Now put H in the equation i.e.

H/3+H/6=1

2/3+2/6=1

4+2/6=1

6/6=1

1=1

Hence proved. Enjoy :)

Answer:

1.92

Step-by-step explanation:

9.6 divided by 5 = 1.92

Answer:

what are the numbers if there are more than one number then add all numbers up

Step-by-step explanation: for example

one side of cube :5

another side: 4

another side: 8

another side: 3

add all number up 5+4+8+3=20