How long does it take $500 to double at a simple interest rate of 24%?

Answers

Answer 1

Answer:

4 years and 2 months

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)

Given:

A = $500 × 2 = $1,000P = $500r = 24% = 0.24

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 1000 = 500(1 + 0.24t)[/tex]

[tex]\implies \sf \dfrac{1000}{500}=(1 + 0.24t)[/tex]

[tex]\implies \sf 2=1 + 0.24t[/tex]

[tex]\implies \sf 1 = 0.24t[/tex]

[tex]\implies \sf t=\dfrac{1}{0.24}[/tex]

[tex]\implies \sf t=4 \frac{1}{6} \:years[/tex]

[tex]\implies \sf t=4\:years\:2\:months[/tex]

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.


Related Questions

Which type of data would be best displayed in a dot plot. (Help fast)

Answers

The type of data that would be best displayed in a dot plot is the correspondent to the third option.

Which type of data would be best displayed in a dot plot?

A dot plot is a plot where in the horizontal axis different numbers or properties (discrete set, usually we want smaller ranges, just so the graph are easier to read.) are marked, and above these, we mark dots, that represents how many times these are repeated on the data set.

We don't want large ranges (like in the first option 725 to 2450) because it means that we need to mark 725 points, or we need to find a common factor so each point represents more than one unit.

So, we need to have discrete data and with ranges not to large. The only option that meets both conditions is the third one, where on the horizontal axis we would have each of the 15 school dental clinics, and the dots would represent the number of dentist volunteering on each of them.

Then the correct option is the third one.

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Answer:

3rd option

Step-by-step explanation:

Lakeridge health oshawa is a 423 beds hospital with 463 doctors and 4058 staff comprised of nurses and technologists. it is planning to open another 35-bed wing. assuming the same proportionate staffing levels, how many more doctors will need to be hired?

Answers

The number of doctors that would be needed for the 35-bed wing is 38.

How many more doctors are needed?

The first step is to determine the number of doctors needed for one bed : 463 / 423

The second step is to multiply the ratio gotten in the first step by the number of beds in the new wing: (463 / 423) x 35 = 38.21 = 38

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What is the y-intercept of the function f(x) = -2/-9x+1/3?

Answers

Answer:

b = 1/3

Step-by-step explanation:

The general structure of equations in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The given equation is already in slope-intercept form. In other words, you have already been given "m" and "b". Therefore, the value which corresponds with the y-intercept is (1/3).

f(x) = mx + b

f(x) = -(2/9)x + 1/3

Can someone help me?

Answers

Answer:

It's the third one hun :>

Answer:

yup third one

Step-by-step explanation:

parabolas are ALWAYS a U shape ;-)

The inverse of a quadratic parent function with a limited domain is a
function.
A. negative
B. cubed
C. square root
D. hyperbolic

Answers

The inverse of a quadratic parent function with a limited domain is given by the square root function, hence option C is correct.

How to find the inverse of a function?

Supposing we have a function y = f(x), to find the inverse, we exchange x and y, and isolate y.

The quadratic function is:

[tex]y = x²[/tex]

Exchanging and isolating y:

[tex]x = y^2[/tex]

[tex]y^2 = x[/tex]

[tex]y = \sqrt{x}[/tex]

[tex]f^{-1}(x) = \sqrt{x}[/tex]

Hence option C is correct.

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which of the following equations will produce the graph shown below?​

Answers

A circle can be characterized by its center's location and its radius' length. The correct option is A.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius' length. Let the center of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units. Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The given graph is the graph of a circle that has its origin at (0,0) and has a radius of 4 units, therefore, the equation will be,

(x-0)² + (y-0)² = 4²

x² + y² = 16

Multiply both the sides of the equation by 2,

2x² + 2y² = 32

Hence, the correct option is A.

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(2⁄3)3 the 3 is a exponent a answer would help but i would also like a step by step explanation so i can solve it on my own next time

Answers

Answer:

8/27

Step-by-step explanation:

So an exponent is basiclly when you multiply the number as many times as the exponent says. In this case it saying 3 so you would do 2/3*2/3*2/3 and then you would get 8/27. I hope this helps.

Needs help no bots please

Directions: Solve each of the following problems. Round answers to the nearest hundredths when applicable.

1) If the height of a parallelogram is 27.3 m and the base is 6.3 m, what is the area of the parallelogram?

2) If the base of a rectangle is 27.4 mm and the area is 420.92 mm2, what is the height of the rectangle?

3) What is the height of a rectangle with perimeter 133.2 mm and base length 30.6 mm?

4) If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram?

5) What is the perimeter of a parallelogram with base 32 cm and side length 34 cm?

6) What is the area of a parallelogram with base 40 mm and height 18 mm?

7) If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle?

8) If the base of a rectangle is 23 cm and the area is 354 cm2, what is the height of the rectangle?

9) What is the area of a square with a perimeter of 44 mm?

10) What is the area of a square with a perimeter of 55 cm?

11) What is the area of a parallelogram with a height 43 m and base 18 m?

12) What is the perimeter of a parallelogram with side length 35 m and base 25 m?

13) If the base of a rectangle is 16 m and the area is 600 m2, what is the height of the rectangle?

14) What is the area of a rectangle with perimeter 125.6 cm and base length 40.5 cm?

15) If the height of a parallelogram is 64.3 m and the base is 4.3m, what is the area of the parallelogram?

Answers

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11
11x11=121mm^2

10)55/4=13.75
13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6
44.6/2=22.3
22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

1) A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?

x
A. 10

B. 20

C. 60

D. 80

E. 100

help please

Answers

Answer:

First send the graph then we can help you in your answer

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

For anyone wondering, the graph was on a different question that this person asked.

Banana
23
Apple
18
Orange
34
Peach
27
Pear
18

Using proportional reasoning, about how many students out of the 2,000 would you expect to select an orange as their favorite fruit?

Answers

Answer:

almost 567 students

Step-by-step explanation:

all fruits = 23+18+34+27+18 = 120

possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60

possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students

please help me (show ur solution)​

Answers

Answer:

See below ~

Step-by-step explanation:

Q9

x = 200° (arc measure = central angle measure)The inscribed angle y is half of the arc length xy = 1/2xy = 1/2(200°)y = 100°

Q10

x + 112 = 180x = 68°y + 81 = 180y = 99°

Answer:

9.  x = 200  and  y = 100

10.  x = 68  and  y = 99

Step-by-step explanation:

Question 9

The measure of an arc is the measure of its central angle.

⇒ x = 200

This is a non-cyclic quadrilateral as not all its vertices touch the circumference of the circle.

The angle at the center is twice the angle at the circumference.

⇒ y = 200 ÷ 2

⇒ y = 100

Question 10

This is a cyclic quadrilateral as all its vertices touch the circumference of the circle.  

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ x + 112 = 180

⇒ x = 68

⇒ y + 81 = 180

⇒ y = 99

Consider the equation -5\cdot e^{10t}=-30−5⋅e
10t
=−30minus, 5, dot, e, start superscript, 10, t, end superscript, equals, minus, 30.
Solve the equation for ttt. Express the solution as a logarithm in base-eee.
t=
Approximate the value of ttt. Round your answer to the nearest thousandth.
t=

Answers

The approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

What is Exponential equation?

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, given equation; (we are using n in place of t)

          -5.e¹⁰ⁿ = -30

      On dividing -5 both sides, we get

           -5.e¹⁰ⁿ/-5 = -30/-5

                e¹⁰ⁿ  = 6

 Taking 'ln' on both side, we get

             10n = ln 6

              n = (ln 6)/10

              n = 1.791759/10

              n = 0.179

Thus, the approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

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Q38: Rearrange g=2hm to make m
the subject

Answers

The expression g = 2hm can be written as in terms of g and h when m is the subject is m = g/2h.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

g  = 2hm

To make m as the subject and solve it:

Divide the above expression by 2h on both sides:

g/2h = m  or

m = g/2h

Thus, the expression g = 2hm can be written as in terms of g and h when m is the subject is m = g/2h.

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There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

5 blue, 4 red = 9 total

Probability (Blue, Blue)  = 5/9 x 5/9 = 25/81 = 0.30864

Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753

Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173

Fraction answer = 41/81

Decimal answer = 0.506173 (round off as needed)

can you help me figure of the value of y?and possible x (I think I got it)​

Answers

The values of x and y from the figure are 22.5 and 10 respectively

Vertical angles

The angles that meet at a point X are equal and vertically opposite

From the diagram shown

6x - 5 = 8x - 50

6x - 8x = -50 +  5

-2x = -45

x = 22.5

Similarly

2y + 30 = 3y + 20

2y - 3y = 20 - 30

-y = -10

y = 10

Hence the values of x and y from the figure are 22.5 and 10 respectively

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

Since the two lines intersects each other we can conclude that :

6x - 5 = 8x - 50

and

2y + 30 = 3y + 20

[ That's because they form vertical opposite angle pair ]

So, let's solve for x and y ~

[tex]\qquad \sf  \dashrightarrow \:6x - 5 = 8x - 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x - 6x = - 5 + 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 45[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{45}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 22.5[/tex]

And

[tex]\qquad \sf  \dashrightarrow \:2y + 30 = 3y + 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:3y - 2y = 30 - 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 10[/tex]

I hope the steps are clear ~ let me know if you have doubts ~

Simplify
x² - 7x - 30
x² + 5x + 6

Answers

Answer:

(X+3)(x-10)

(X+3)(X+2)

Find the quotient.

48a3bc2 ÷ 3abc

16 ac2
16 a2c
18 a2c
16 a4b2c 3

Answers

The quotient when 48a³bc²is divided by 3abc will be 16a²c.

How to explain the quotient?

The information given is that we should find the quotient of 48a³bc² ÷ 3abc.

This can be expressed as:

48a³bc² ÷ 3abc = (3 × 16 × a³ × b × c²) / (3 × a × b × c)

= 16a²c

In this case, the quotient when 48a³bc²is divided by 3abc will be 16a²c.

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What is the value of x?

Enter your answer in the box.

Answers

Answer:

25

Step-by-step explanation:

c^2=a^2+b^2

where c = hypotenuse

so, x^2 = 24^2+7^2

x^2 = 576 + 49

x^2 = 625

x = square root of 625

x = 25

The answer is 25
24x24 + 7x7 = 625
Square root of 625 is 25

What is the factored form of 4x2 23x – 72? (4x 8)(x – 9) (4x – 8)(x 9) (4x 9)(x – 8) (4x – 9)(x 8)

Answers

Answer:

(x+8)(4x-9)

Step-by-step explanation:

Rewrite expression 4x^2 + 32x - 9x - 72

Factor out 4x  4x(x+8) - 9x - 72

Factor out x+8  4x(x+8) - 9(x+8)

Simplify (x+8)(4x-9)

please help me find answer for this question

Answers

Answer:

The answer with 4 cubes 2x2

Step-by-step explanation:

D it has 5 cubs in all,if you see A,B,C,they do not have cuds

Which point is on the circle centered at the origin with a radius of 5 units?

Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

(2, StartRoot 21 EndRoot)
(2, StartRoot 23 EndRoot)
(2, 1)
(2, 3)

Answers

2,3 because 2,3 is the correct option

what is 5 x 9/10 (fraction)
help me please asap

Answers

5 x 9/10
Answer=
5x9
10

Cut 5 with 10 as it’s possible
5 x 1 =5 and 5x 2=10
So the answer is
9/2

its so hard can you guys help

Answers

Answer:

1593 pandas 13 years ago.

Difference? ≈271 pandas

Keyword:

"Increase"

Step-by-step explanation:

Use the equation:

x + (x × P%) = y

x(1 + P%) = y

x = 1864/(1 + 17%)

x = 1864/(1 + 0.17(17%))

x = 1864/1.17

x = 1593.1624 ≈ 1593

What is the value of the expression?
-16+12

Answers

Answer:12-16=-4

Step-by-step explanation:the answer is the same way it’s just flipped

The answer is -16+12 =-4

which sequence of transformations could be used to move triangle RST so it completely covers triangle R”S”T?

Answers

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

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~30 PTS, BRAINLIEST, AND 5 STARS TO BEST ANSWER!~

1.) Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8).

2.)Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5).

(PLS PROVIDE A DETAILED RESPONSE, ALONG WITH AN EASY
STEP BY STEP PROCESS. TY!)

Answers

For both problems, we can use the section formula.

1) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]

2) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]

Question 29 of 49
The pattern below follows the rule, "starting with a value of 3, every
consecutive row has a value that is 2 less than twice the value of the previous
row."
Value
Row 1
3
Row 2
4
Row 3
6
What is the value for the 6th row?

Answers

34.............................. ........

Mario has captured many yellow spotted slalmaders. He weighs each and then counts the number of yellow spots on its back. This trend line is a ___ fit for these data.

Answers

C is the correct answer if I’m not mistaken

What is the value of x?

Answers

Answer:

46 degrees

Step-by-step explanation:

Find the range.
3 -9 7 -1 5 -4 2

Answers

Answer:

16

Step-by-step explanation:

The range is the distance between the largest number and the smallest number. To find the range, you take the smallest number and subtract it from the largest number. In this case, the smallest number is -9 and the largest number is 7. 7 minus -9 is a double negative, so you can also do 7+9=16. 16 is the range.

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