Suppose that $50,000 from a retirement account is invested in a large-cap stock fund. After 20 yr, the value is $175,222.57. Use the model A=Pe^rt to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. Avoid rounding in intermediate steps. The average rate is approximately __%

Answer:

€86.13

Step-by-step explanation:

The computation is shown below:

According to the given question

The estimation we told is

£3 = €4

£ reflects the sign of the pound and "€" reflects the sign of Euro.

Therefore we apply the estimation we get

£1 = €

Now multiply both sides by 73.50.

£64.60= €

£64.60  = €

Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)

Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

Answer:

Dial it up : ring ring

=8:9

Step-by-step explanation:

From Dial it up= $16 per 2 gb.

ratio of gb : price

2:16

can be reduced to 1:8

this means that per each Gigabyte, you pay $8.

Ring Ring has plans of $9 per 1gb

ratio of gb to price is 1:9

And the ratio between the prices

of the companies is

Dial it up:ring ring

8:9

which means that in one company you get one gb for $8, while in the other company you get the same one gb for $9.

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Answer:

Sammy delivered 10 pizzas to each party.

Step-by-step explanation:

34 pizzas - 4 pizzas

= 30 pizzas

30 pizzas/ 3 parties

= 10 pizzas per party

Answer:

Hey there!

Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.

He split these between three parties, thus each party received 10 pizzas.

Hope this helps :)

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.

Answer:

Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo'drink .

Step-by-step explanation:

If you want to see if Jo’s drink is equivalent you have to make equivalent ratios.

punch recipe : 2 cups : 3 cups

Jo’s : 3 cups : 4 cups

Let’s make the pineapple juice each 1 cup

punch recipe: 1 cup : cups?

Jo’s : 1 cup : cups?

we have to divide in order for this to work!  since we divided 2 cups by 2 we divide 3.

punch recipe : 1 cup : 1.5

do the same thing for Jo’s. We divided 3 cups by 3 we divide 4 cups by 3 now.

jo’s recipe : 1 cup : 1.3

compare 1.5 is bigger than Jo’s recipe hers is not equivalen.

Answer is will have stronge pinnaple juice

Answer: 214

Step-by-step explanation:

The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]

arc EDF measures is 214°

The arc is a portion of the circumference of a circle

The circumference of a circle measures 360°,

Since minor arc EF measures 146°,

arc EDF measures = 360°-146° = 214°

Hence, arc EDF measures is 214°

learn more about arc of circle

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Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer to your question is 12x - 24=60

So we know that 12x will be the number of cookies.

It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.

Here is the work:

12 (x-2)= 60

12x-24=60

So the answer should be 12x -24 = 60

Hope this helps!

By:xBrainly

Answer:

I hope it will help you......

Answer:

It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Step-by-step explanation:

Given

[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]

[tex]Bucket: 20,000 cm^3[/tex]

[tex]1 km^3 = 10^{15} cm^3[/tex]

To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;

[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]

[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]

Expand the numerator

[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]

Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]

So, the expression becomes

[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]

Simplify the numerator using laws of indices

[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]

Expand the denominator

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]

Split fraction

[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]

[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]

Simplify fraction using laws of indices

[tex]Number = 0.7 * 10^{25-4}[/tex]

[tex]Number = 0.7 * 10^{21}[/tex]

[tex]Number = 7 * 10^{20}[/tex]

Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Answer:

B

Step-by-step explanation:

We begin with the given function [tex]f(x)=x^2[/tex]

To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]

[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]

Now that we know the equation of  [tex]g(x)[/tex], we can find the graph that is equivalent to it.

The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.

The value of £63.20 will be €84.20 during the conversion.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, as an estimation we are told £3 is €4. Therefore, the value of £63.20 will be:

= 63.20 × 4 / 3

= €84.20

The value is €84.20.

Learn more about expressions on:

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Answer:

-12

Step-by-step explanation:

We just plug in -3 and multiply.

4y

= 4(-3)

= -12

Hope this helped!

Answer:

ST is 5

Step-by-step explanation:

Divide the larger triangle's BC by 3.

Answer:

99

Step-by-step explanation:

3/8 of 88 is 3/8 * 88 = 33.

If her number is x we can write 1/3x = 33 and when we multiply the equation by 3 to get rid of the fraction we get x = 99.

Answer:

The first one

Step-by-step explanation:

because all of the sides have the same measurement.

Answer:

Triangle C

Step-by-step explanation:

Triangle A: All sides have length 9 cm.

By SSS this is a unique triangle.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°.

By SAS this is a unique triangle.

Triangle C: Two angles measure 50°.

This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.

Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?

This gives us ASA, so we have a unique triangle.

Answer: Triangle C

Answer:

[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]

Step-by-step explanation:

hello,

let's try to divide by 7 329 it comes

329 = 47 * 7

and 329 is not divisible by 2 or 3 so

the solution is

x = 0

y = 0

z = 47

[tex]2^0*3^0*7*47=329[/tex]

hope this helps

Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

Answer:

B. 29 is prime, not composite

Step-by-step explanation:

A composite number, by definition, is any positive integer of which can be formed by the product of two or more numbers, and the integer must not be a prime number.

29 is a prime and not a composite number because it is only divisible by 1 and itself.

This is not same for 39 and 49.

39 can be divisible by 3, and 13, other than 1 and 39.

49 can be divisible by 7, other than 1 and itself.

Therefore, Camila made a mistake by shading 29 as a composite number.

The answer is: "B. 29 is prime, not composite".

Answer:

66.67%

Step-by-step explanation:

total matches = 9

matches won = 6

percentage = matches won*100/ total matches

percentage = 600/9

= 66.67%

Answer:

40%

Step-by-step explanation:

Answer:c

Step-by-step explanation

Answer:

the Answer is A

Step-by-step explanation: took the test

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

Answer:

(2, 4)

Step-by-step explanation:

You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.

Hope this helps! :)

Answer:

32 hours and 65 minutes

Step-by-step explanation:

Answer:

The Answer is 33 hours and 5 minutes

Step-by-step explanation:

The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

---------------------

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]