Which statements are TRUE? Select all that apply.

A. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
B. If 6 pens cost $7.74, then 7 pens cost $9.03.
C. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
D. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
E. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

Answers

Answer 1

Answer:

A, B, D are true

Step-by-step explanation:

A)  Speed = Distance travelled ÷ time taken

                 = 112 ÷ 1.75

                  = 64 miles per hour

True

B) Cost of 6 pens = $7.74

   Cost of 1 pen    = 7.74 ÷ 6 = $ 1.29

   Cost of 7 pens = 1.29 * 7   = $ 9.03

TRUE

C) Speed = 57 miles per hour

4 hour 10 minutes = 250 minutes

Distance traveled in an hour  = 57

Distance traveled in 250 minutes = (57* 250)   ÷ 60 = 237.50 miles

FALSE

D) Cost of 17 cans = $ 38.59

   Cost of 1 can      = 38.59 ÷ 17 = $2.27

   Cost of 3 cans    = 2.27 * 3 = $ 6.81

TRUE

e) Cost of two dozen eggs = $ 8.40

    Cost of an egg                = 8.40 ÷  24  =   $ 0.35

FALSE


Related Questions

Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)

Answers

Answer:

y-intercept is (0,8)

c. x-intercept is (-8, 0)

Step-by-step explanation:

y=x+8

x=0

y+0=8

y=8

y=0

y=x+8

0=x+8

x=-8

Marie has a recipe that calls for 2 cups of flour for 3 dozen cookies. How much flour would she
need to make 60 cookies?
A 4 cups
B 3 3/4 cups
C 3 1/4 cups
D 3 1/3 cups

Answers

So since we know that 2 cups of flour gives us 3 dozens (36 cookies), we can divide both by 2 to see how much 1 cup of flour gives us. That would give us 1.5 dozens (18 cookies) for 1 cup of flour. So 3 cups of flour would make 54 cookies. Then we can divide 1 cup of flour by 3 to see how much 1/3 cup of flour would give us. 1/3 cup makes 6 cookies so 3 1/3 makes 60 cookies.

which line is parallel to y=1/2x+5?

Answers

Answer:

the first one (y = 1/2x - 7)

Step-by-step explanation:

If the lines are parallel, the slope has to be the same.

PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST

Answers

Answer:

Jahmya's Lunch cost more

Step-by-step explanation:

Stephen's Lunch

(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33

Jahmya's Lunch

(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87

Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the other end point.​

Answers

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Putting the values we get

[tex](2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})[/tex]

Putting respective elements equal

[tex]\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1[/tex]

Hence,

The coordinates of other point are: (5,1)

A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?

Answers

Per Batch:
4 Cups Powdered Milk
2 Cups Flour
4 Batches:
4x 4 cups of Powdered Milk
4x 2 cups of Flour

Therefore
16 cups of powered milk
8 cups of flour

9514 1404 393

Answer:

  24 cups

Step-by-step explanation:

One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...

  4 × 6 cups = 24 cups . . . combined

24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5​

Answers

Answer:

ŷ = 0.1197X + 9.2741

11.9 seconds

Step-by-step explanation:

Given the data:

Average number of leg press Repetition and average 40 yard dash line

Leg press rep (x) : 12 32 7 26 28 15 1

40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

Using the linear regression calculator :

The equation of the line of best fit obtained is :

y = 0.1197X + 9.2741

Where;

x = leg press (predictor variable)

y = 40 yard dash (predicted variable)

Slope = 0.1197

Intercept = 9.2741

How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

22 leg press Repetitions = x

From the line of best fit equation :

y = 0.1197(22) + 9.2741

y = 11.9075

y = 11.9 seconds

The lines of best fit is the trend line of the dataset.

The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds

(a) The equation of the line of best fit

The table is given as:

(x) : 12 32 7 26 28 15 1

(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

To determine the equation of line of best fit, we make use of a regression calculator.

Enter the above dataset in a regression calculator, the equation is:

[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places

(b) The number of seconds for 22 leg-press reps

This means that x = 22.

So, we have:

[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]

[tex]\mathbf{y =2.64 + 9.274}[/tex]

[tex]\mathbf{y =11.914}[/tex]

Approximate to the nearest tenth

[tex]\mathbf{y =11.9}[/tex]

Hence, the time for 22 leg-press reps is 11.9 seconds

Read more about linear regressions at:

https://brainly.com/question/18405415

Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?

Answers

Answer: f(2) is a relative minimum

This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.

Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].

Tra
Figure P was rotated about the center shown by 180°.
P
Tra
center
Which figure is the image of P?
Qu
Choose 1 answer:
809
Tak
A
А
P Р
Ro
B
B
P Р
Qu
0%
Tal
P Р
Rel
D
P Р

Answers

Answer: got it correct

Step-by-step explanation:

And yeah

PLEASE HELP! ILL GIVE BRAINLEST!
Question 1(Multiple Choice Worth 5 points)
(04.06A HC)

The table and the graph below each show a different relationship between the same two variables, x and y:

A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,180 and 4,240 and 5,300 and 6,360. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.

How much more would the value of y be in the table than its value on the graph when x = 11?

110
150
215
275

Answers

Answer:

275

Step-by-step explanation:

calculator

pleaseee helpp meee​

Answers

Answer:no

Step-by-step explanation:hope it helps

Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.

So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour

Jazmeen can walk 1.25 miles in one hour.

What percent is equivalent to 2/3

66 1/3

66 3/5

66 2/3

66 7/10

Answers

Answer:

66 2/3

Step-by-step explanation:

(2/3)(100) = 66 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]

[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]

[tex]\mathbf{\dfrac{2}{3}}[/tex]

[tex]\mathbf{= 2\div3}[/tex]

[tex]\mathbf{= 0.66666667}[/tex]

[tex]\mathbf{= 0.66666667 \times 100}[/tex]

[tex]\mathbf{= 66.6666667\%}[/tex]

[tex]\mathbf{\approx 66.67\%}[/tex]

[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\mathbf{66 \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]

[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]

[tex]\mathbf{= \dfrac{199}{3}}[/tex]

[tex]\mathbf{= 199\div3}[/tex]

[tex]\mathbf{= 66.3333333}[/tex]

[tex]\mathbf{= 66.3333333 \times100}[/tex]

[tex]\mathbf{= 6,633.33333\%}[/tex]

[tex]\mathbf{\approx 6,633.33\%}[/tex]

[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\mathbf{66 \dfrac{3}{5}}[/tex]

[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]

[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]

[tex]\mathbf{= \dfrac{333}{5}}[/tex]

[tex]\mathbf{= 333\div5}[/tex]

[tex]\mathbf{= 66.6}[/tex]

[tex]\mathbf{= 66.6 \times 100}[/tex]

[tex]\mathbf{= 6,660}[/tex]

[tex]\mathbf{\approx 6,660\%}[/tex]

[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\mathbf{66 \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]

[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]

[tex]\mathbf{= \dfrac{200}{3}}[/tex]

[tex]\mathbf{= 200\div3}[/tex]

[tex]\mathbf{= 66.6666667}[/tex]

[tex]\mathbf{= 66.6666667\times100}[/tex]

[tex]\mathbf{= 6,666.66667}[/tex]

[tex]\mathbf{\approx 6,666.67\%}[/tex]

[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\mathbf{66\dfrac{7}{10}}[/tex]

[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]

[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]

[tex]\mathbf{= \dfrac{667}{10}}[/tex]

[tex]\mathbf{= 667\div10}[/tex]

[tex]\mathbf{= 6.67}[/tex]

[tex]\mathbf{= 6.67\times100}[/tex]

[tex]\mathbf{= 6,670}[/tex]

[tex]\mathbf{\approx 6,670\%}[/tex]

[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]

[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]

[tex]\huge\textbf{The closest answer was:}[/tex]

[tex]\mathbf{66 \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x

Answers

Answer and Step-by-step explanation:

Solution:

Given:

A, B and C are sets.

We have to prove that:

(A − B) ∩ (C − B) = (A ∩ C) − B.

Use an element x,

Let x Є (A – B), by the definition of difference:

X Є A  and x ∉ B.

And

X Є A ∩ C and x ∉ B

X Є (A ∩ C) – B

Now let x Є C – B

By the definition of difference:

X Є C and x ∉ B

By definition of intersection: x Є C and x Є( A ∩ C)  

By definition of difference, using that x Є(A ∩ C) And x  ∉ B:

X Є ( A ∩ C) – B

We know that: x Є (A – B) ∩ ( C – B)

Is equivalent to x Є A – B  and x Є C – B

So, ( x Є A and x ∉ B)

And (x Є C and x  ∉  B)

From this we know that x Є (A ∩ C) – B.

Is this right? PLEASE HELP

Answers

Answer:

I got

2x^4u^4-6+9x^3u^2/ux^2

Step-by-step explanation:

Photo wrong only at the end u^2

there are 3 rows of pictures on a wall. each row has 6 pictures. how many pictures are on the wall

Answers

Answer:

There are 18 pictures on the wall

Step-by-step explanation:

6 x 3 = 18

there is no way that simple multiplication is college level.

May I have brainliest please? :)

5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other​

Answers

A- two acute angles can be complementary

Complementary angles add to 90°, and obtuse angles are defined as being over 90°, so no answer with obtuse would work.
A right angle is 90° exactly, and 2 would add to 180°, so C cannot be right.

D. Evaluate each of the following. (5 points)

Let f(x) =x+1/x

1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)​

Answers

Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

f(1) = 1 + 1

f(1) = 2

Answer: 2

============================================

Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer:  5/2

============================================

Problem 3

(f o f o f)(1) = f(  f(f(1)) )

(f o f o f)(1) = f(  (f o f)(1) )

(f o f o f)(1) = f(  5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

============================================

Problem 4

(f o f o f o f)(1) = f(   f(f(f(1))   )

(f o f o f o f)(1) = f(   (f o f o f)(1)    )

(f o f o f o f)(1) = f(   29/10   )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

============================================

Problem 5

(f o f o f o f o f)(1) = f(   f(f(f(f(1))))   )

(f o f o f o f o f)(1) = f(   (f o f o f o f)(1)  )

(f o f o f o f o f)(1) = f(   941/290  )

(f o f o f o f o f)(1) = 941/290 + 1/(941/290)

(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

Answer: 969581/272890

A function assigns the values. The value of (f•f•f•f•f)(1)​ is 969581/272890.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

1.)

The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,

f(x) = x + 1/x

f(1) = 1 + 1/1

    = 1 + 1

    = 2

2.)

(f · f)(1) = f( f(1) )

Since the value of f(1)=2, therefore, it can be rewritten as,

(f · f)(1) = f(2)

           = 2 + 1/2

           = 4/2 + 1/2

           = 5/2

3.)

(f · f · f)(1) = f(  f(f(1)) )

Since the value of f(f(1))=5/2, therefore, it can be rewritten as,

(f · f · f)(1) = f(  (f·f)(1) )

              = f(  5/2 )

              = 5/2 + 1/(5/2)

              = 5/2 + 2/5

              = 25/10 + 4/10

              = 29/10

4.)

(f · f · f · f)(1) = f(  f(f(f(1))  )

Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,

(f · f · f · f)(1) = f(   (f·f·f)(1)    )

                  = f( 29/10 )

                  = 29/10 + 1/(29/10)

                  = 29/10 + 10/29

                  = 841/290 + 100/290

                  = 941/290

5.)

(f · f · f · f · f)(1) = f(   f(f(f(f(1))))   )

Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,

(f o f o f o f o f)(1) = f(   (f·f·f·f)(1)  )

                           = f(  941/290 )

                           = 941/290 + 1/(941/290)

                           = 941/290 + 290/941

                           = 885481/272890 + 84100/272890

                           = 969581/272890

Hence, the value of (f•f•f•f•f)(1)​ is 969581/272890.

Learn more about Function here:

https://brainly.com/question/5245372

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A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one ye

what will he have to pay? (Round your answer to the nearest cent.)

$

Answers

Answer: 1902.36

Step-by-step explanation:

When interest is compounded monthly , the formula to find the accumulated amount is

[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex] , where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% =  0.24

P= $1500

t= 1 year

Put all value in formula , we get

[tex]A= 1500(1+\dfrac{0.24}{12})^{12\times 1}\\\\=1500(1+0.02)^{12}\\\\=1500(1.02)^{12}\\\\=1500(1.26824179456)\approx1902.36[/tex]

Hence, he need to pay $1902.36.

Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.

Answers

Answer:

The maximum amount of apples she could buy is 7

Step-by-step explanation:

3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.

What value of y makes the equation true? -7/12 = y/-36

Answers

Answer:

y= 21

Step-by-step explanation:

-7/12=y/-36

Switch sides

y/-36=-7/12

Multiply both sides by -36 and simplify

y=21

Hope this helped! :)

Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it as credit rather than as a debit. How will her check register compare to her monthly bank statement when she receives it

Answers

Answer:

C. The balance in her check register will be $116 over the balance on her bank statement.

What is the value of the expression shown below?

Please use the photo for whole question, it shows the answers.

Answers

Answer:

It should be

Step-by-step explanation:

B.23    1/4

Evaluate the function. f(x) = -22 + 5x – 2

Find f (-4)​

Answers

Plug in -4 for x.
-22 + 5(04) -2 = -44

Which describes the transformation shown below

A
B
C
D

Answers

Answer:

i think the answer is a to be honest

Step-by-step explanation:

If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct

Answers

Answer:

Step-by-step explanation:

U right it’s not any of them and if u single I’m here

Answer:

B.

Step-by-step explanation:

AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:

[tex]AD=AB+BC+CD[/tex]

Since AB=CD, we can substitute:

[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]

We know that CD is 9 and BC is 5x. AD is 53. So, substitute:

[tex]53=2(9)+5x[/tex]

Solve for x:

[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]

The value of x is 7.

Hence, our answer is B.

Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer​

Answers

Answer:

<FEA is 70 degrees. It is already given.

Dr.man mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C, to make 5 doses of medicine.

Answers

Answer is B hope it’s helps

i need to fill in this table to show a proportional relationship.

Answers

Answer:

x 2 4 10 12 20 33

y 6 12 30 36 60 99

Draco invests $5000. Approximately how long will it take for the investment to double if the rate is 10% compounded annually?

Answers

Answer:

I'm in 6th grade and I think it is 500

For the investment to double if the rate is 10% compounded annually,

it will take about 7 years and 3 months.

What is compound interest rate?

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n[tex])^{nt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for.

Given:

Draco invests $5000.

Draco wants his investment to double.

That means, accrued amount = $10000

Interest rate = 10%

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 per year,

Then, by using the formula,

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1/1)] )

t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1)] )

t = 7.273 years

t = about 7 years 3 months

Therefore, the required time is about 7 years 3 months.

To learn more about the compound interest rate;

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