Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.

Answers

Answer 1

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

r= 9.33%


Related Questions

Unit
i-Ready
2
6) Paige walks to the park mile 2/3 away. It takes her 16 minutes to get there. Paige
her speed in miles per minute.
Which fraction represents Paige's wants to know speed in miles per minute?

Answers

Answer:2/3 / 16

Step-by-step explanation:

I js did it n got that

Answer:

2/3 / 16 or two-thirds divided by 16

Step-by-step explanation:

i did it and got it right and i need points. ty c:

Original price $3:29;markdown 35%
What the value please help me

Answers

Need help on this too

Answer:

2.94

Step-by-step explanation:

3.29 - 35/100 = 2.94

question is in picture pls ASAP its due by 8 its 6 will give you brainliest :)))))))

Answers

Answer: 100 rides are needed to break even.

Step-by-step explanation:

C(x)=15x+2000 - x is the number of rides.

R(x)=35 x , where x is the number of rides

35x=15x+2000

35-15x=2000~subtract 15x from both sides~

20x=2000 ~simplify~

x=2000/20 ~dividing both sides by 20~

x=100

Find the equation of the line.
Use exact numbers.
y =
+

Answers

Step-by-step explanation:

The equation of the line is y = 4x - 9.

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the highest ratio of blue paint to white paint?

Answers

Answer: Mixture C. 1:3

Step-by-step explanation:

given data:

paint mixtures

mixture               blue                white

   A                       12                      5

   B                        6                       6

   C                        12                     4

   D                        6                       5

Solution:

= [tex]\frac{4}{12}[/tex]

= [tex]\frac{1}{3}[/tex]

= 1:3

from the given data, mixture C has the highest number or ratio of blue paint to white paint which is 1:3 this means for every bucket of white paint there are 3 other buckets of blue.

Answer:

Mixture B

Step-by-step explanation:

got it right on the test

What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.

Answers

Answer:

(4,-2.5)

Step-by-step explanation:

because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point

Answer:

-3,-4.5

Step-by-step explanation:

12.65 − n = 9.63
Whats the answer?

Answers

Answer:

n = 3.02

Step-by-step explanation:

12.65 - n = 9.63

- n = 9.63 - 12.65

- n = - 3.02

-n/-1 = -3.02/-1

n = 3.02

Answer:

3.02

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is x+y=−1. Fully reduce your answer.

Answers

Make y = mx = b
y = -x - 1
Slope is -1
Perpendicular = opposite sign and reciprocal slope
1/1 = 1, slope would be 1
Solution: slope = 1

Adam says that to find the total cost of the rice, you should multiply 3.5 by $1.89. Do you agree? Explain your reasoning.

Answers

Answer:

$6.615

Step-by-step explanation:

Okay, does the value 3.5 represent the quantity of rice bought?

Let us assume this answer is yes, then we can go ahead and estimate the cost of the rice as

Total Cost =1.89*3.5

Total Cost =$6.615

anyone? Does anyone know the answer if so comment down the answer if so thanks!!

Answers

Answer: 36

Step-by-step explanation:

Sry I got 12 but I changed it since 36 is correct

Answer:

36

Step-by-step explanation:

( 3 * 2 ) ^(2)

Remember the order of operations;

1. Parenthesis

2. Exponents

3. Multiplication or Division

4. Addition or subtraction

( 3 * 2 ) ^ (2)

Simplify what is in parenthesis first.

(6)^(2)

Now simplify the exponent. Remember, the power or the degree to which the base is at is telling one the number of times one needs to multiply the base by itself;

36

What is the height of the flagpole in the diagram below

Answers

Answer: The height of the flagpole is 12 feet.

Step-by-step explanation:

Let the height of the flagpole be 'H'.

So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.

Given:

Height of stick is,

Shadow of the stick is,

Shadow of the flagpole is,

Now, as these are in proportion, we have

Plug in the given values and solve for 'H'. This gives,

Hence, the height of the flagpole is 12 feet.

what is 1/4x+1+3/4x-2/3-1/2x

Answers

Answer: 1/2x + 1/3

Step-by-step explanation:

Given:

1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3

Step 1: Combine like terms

1/4(x) and 3/4(x) have a common denominator of 4.  This means that you can add them together.

1/4(x) + 3/4(x) = 4/4(x) = x

Step 2: Find the common denominator of x in step 1 and combine like terms  

x - 1/2(x) = 2/2(x) - 1/2(x)

Now that we have the common denominator of x, we can combine like terms.  Its the same as adding or subtracting fractions without a variable.  In this case, you must subtract 1/2(x) from 2/2(x).

2/2(x) - 1/2(x) = 1/2(x)

Step 3: Find the common denominator of the constants and combine like terms

1 - 2/3 = 3/3 - 2/3

Now combine like terms.  Simply subtract 2/3 from 3/3.

3/3 - 2/3 = 1/3

Step 4: Write the simplified equation

1/2(x) + 1/3

This is the answer

wwwwwwwwwwwwwwwweeemem2lm;2rnwejtnrjqktnqrjtnij;tnq43i;ntlhqrntbjqnlrjkebtgqrejtglqrjtnhtnhftkhkntiltnoeiqhtknefiothefwntbqotq43uhi413hto3u so it is 12

Answers

Answer: Ehhhhhhh

Hello?

Oof

What is the median?
59
65
56
60
55
54
62
66
68

Answers

Answer:

The answer is 60

Step-by-step explanation

54

55

56

59

60 The middle number

62

65

66

68

Answer:

60

Step-by-step explanation:

"Median in the middle"

put the set of numbers in order from least to greatest. If you end up having an even amount of numbers in the set, you add the two numbers in the middle then divide by 2 to find the median.

54, 55, 56, 59, 60, 62, 65, 66, 68

55, 56, 59, 60, 62, 65, 66

56, 59, 60, 62, 65

59, 60, 62

60

Is it A B C or D? Please respond

Answers

The answer is the second one; B.

Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?

Keisha needs to save $________???

HURRY PLS

Answers

Answer:

$112.50

Step-by-step explanation:

25% is $37.50

37.50x3=112.50

Answer:

its 112.50

Step-by-step explanation:

i got it right

Select the correct answer.
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. If 1 is the extraneous solution, which equation could he have solved?

Answers

Answer:

Answer A

Step-by-step explanation:

In the equation [tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex], 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.

Given :

Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. 1 is the extraneous solution.

Option A)

Given :

[tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex]

The above expression is not defined for x equal to 1 so, 1 is an extraneous solution.

Simplify the above equation by doing the cross multiplication.

[tex]10(3x-3)=15(x^2-1)[/tex]

[tex]30(x-1)=15(x-1)(x+1)[/tex]

2 = x + 1

x = 1

In the given equation 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.

Therefore, the correct option is A) and therefore, no need to check the other options.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Give the coordinates of one point that is 5 units from point C in the​ x-direction?

Answers

The answer is fifteen then subtract 21

#10 PLEASE HELPPP, DUE SOON :(

Answers

Answer and Step-by-step explanation:

Question #10.

We are told to fill in the blank that corresponds to a property of congruence for like KM and line KM.

A property that states that something is equal to itself if the Reflexive Property of Congruence.

The Reflexive Property of Congruence is the answer. This is because it comes from a latin word called reflexus (also known as reflect), which is when something is the same of itself. In this case, the line KM is reflexive, or congruent to itself because when reflected, it reflects onto itself.

#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)

-78 = -5a = 7
solve for a lol

Answers

87 i think Step-by-step explanation:

What is the significance of having short-term ínvestrnents?

Answers

Answer:

You can cancel your investment without wasting a lot of money.

Step-by-step explanation:

Short-term means that you dont have it for a long time, so you could basically wait it out and then cancel.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more! <3 me

Answer:

Short-term investments, also known as marketable securities or temporary investments, are those which can easily be converted to cash, typically within 5 years. Many short-term investments are sold or converted to cash after a period of only 3-12 months. Some common examples of short term investments include CDs, money market accounts, high-yield savings accounts, government bonds and Treasury bills. Usually, these investments are high-quality and highly liquid assets or investment vehicles.

Step-by-step explanation:

find the sum:
13,16,19,...301
thanks!

Answers

Answer:

349

Step-by-step explanation:

please give thanks by clicking the heart :)

The answer for the question is this
349

Can someone help with this question I don’t understand it!??!

Answers

Answer:

I think it's A, B, and B

Step-by-step explanation:

Pretty sure that irrational numbers are like square roots of things

Greg is filling his swimming pool at a rate of 42 gallons every 3 minutes. What is the constant rate of change in gallons per minute? Fill in the grid on your answer document. Be sure to use the correct place value.

Answers

Answer:

what are teachers teaching these days!?!?!?

Step-by-step explanation:

‍♀️

WILL MARK BRAINLIEST

Find three consecutive even integers such that the sum of the second and third is 3 times the first integer.

Answers

Answer:

3, 4, and 5

Step-by-step explanation:

Given: We're looking for x, x+1, and x+2

Requirements: (x+1)+(x+2)=3(x)

Solve equation:

x+1+x+2=3x

2x+3=3x

3=x

This means the three consecutive integers are 3, 3+1, and 3+2 which is the same as 3, 4, and 5

i’ll answer so you can mark the person above brainliest. have a good day!

What is the slope of the line shown below?

A. 2
B. -1/2
C. -8/5
D. -2

Answers

D -2 is correct answer

A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?

Answers

Answer:

y=17x-55

Step-by-step explanation:

y-(-4)=17(x-3)

y+4=17x-51

y=17x-55

Estimate 183 to the nearest integer.

Answers

Answer:

Step-by-step explanation:

1,83 x 10^2

Please help me with this question! Will mark brainliest :)

Answers

lenght :

[tex]2x - 3[/tex]

breadth :

[tex]4x + 5[/tex]

AREA = LENGTH × BREADTH

[tex] = (2x - 3) \times (4x + 5)[/tex]

multiplying the above gives :

[tex] = 8 {x}^{2} + 10x - 12x - 15[/tex]

[tex] = 8 {x}^{2} - 2x - 15[/tex]

Becky is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given.

A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.

Drag and drop the correct answer into each box to complete the proof.

The coordinates of point C are (Response area, c).

The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are ​(a+b2, c2)​ .

The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).

AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..

By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.

Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.

Give actual answer will give brainliest

Answers

Answer:

Read Under

Step-by-step explanation:

Just did the quiz. First one is "a + b"

Second spot put "a+b/2"

Third put "c/2"

Finally put "CE" and then "BE"

A parallelogram is a quadrilateral , In which opposite sided are equal and parallel to each other.

The coordinate of point C are (a + b , c)

The coordinates of the midpoint of diagonal BD are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]

AC and BD intersect at point E with coordinates [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]

By the definition of midpoint, AE ≅ CE  and BE ≅ DE.

Therefore, diagonals AC and BD bisect each other.

Properties of Parallelogram shown below,

Opposites sides of a parallelogram are equal and parallel to each other. Opposite angles are equal.Diagonals of a parallelogram bisect each other.    Each diagonal divides the parallelogram into two congruent triangles.

Since, Diagonals of a parallelogram bisect each other. Therefore, point E is the mid point of both diagonal AC and BD.

Let us consider , coordinate of point C are (x, y)

By using mid point formula,

                Coordinate of point E =  [tex](\frac{x}{2},\frac{y}{2} )[/tex]

                        [tex](\frac{a+b}{2},\frac{c}{2} )=(\frac{x}{2},\frac{y}{2} )[/tex]

  So,     [tex]C(x,y)=(a+b,c)[/tex]

E is the point at which both diagonal bisect to each other. Therefore, E is the mid point of both diagonal AC and BD.

So, coordinate of point E are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]

Thus, By the definition of midpoint, AE ≅ CE  and BE ≅ DE.

Therefore, diagonals AC and BD bisect each other.

Learn more:

https://brainly.com/question/13251657

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