At what rate should $1,000 be invested compounded
continuously to produce a final balance of $2,000 in
5 years?
A. 0.139%
B. 0.231%
C. 13.863%
D. 23.105%

Answers

Answer 1

Answer:

14.9%

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

A is the amount = $2000

P is the principal = $1000

r is the rate

T is the time = 5 years

Substitute the given values into the formula;

2000 = 1000(1+r)^5

2000/1000 = (1+r)^5

2 = (1+r)^5

[tex]\sqrt[5]{2} \\[/tex] = 1 + r

r = 1.149 - 1

r = 0.149%

Hence the required rate is  14.9%


Related Questions

What is the estimated probability that at least two of the puppies will be
female?
O A. 5/10 = 50%
O B . 8/10 = 80%
O C. 3/10 = 30%
O'D. 7/10 = 70%​

Answers

Given:

The results of the simulation.

Number of puppies = 4

To find:

The estimated probability that at least two of the puppies will be female.

Solution:

Let heads (H) = Female puppy.

Let tails (T) = Male puppy.

The results of the simulation are HHHH, TTTH, TTHH, HHTT, THTH, HTTH, HHHT, HHTT, HTHH, THTT.

Total outcomes = 10

The results having 2 or more H are HHHH, TTHH, HHTT, THTH, HTTH, HHHT, HHTT, HTHH.

Favorable outcomes = 8

Now,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{8}{10}[/tex]

Probability in % is

[tex]\text{Probability}\%=\dfrac{8}{10}\times 100[/tex]

[tex]\text{Probability}\%=80\%[/tex]

The estimated probability that at least two of the puppies will be female is [tex]\dfrac{8}{10}=80\%.[/tex]

Therefore, the correct option is B.

what is the triangles congruence theorem could you use to prove the triangle ADE is congruent to Triangle CDE

A) side angle side triangle congruence
B) angle side angle triangle congruence
C) side side side triangle congruence
D) side side angle triangle congruences ​

Answers

Answer:

B) angle side angle triangle congruence

Step-by-step explanation:

In the diagram given, the two angles, <A and <E, and the included side, AE, are congruent to the corresponding two angles, <C and <E, and corresponding included side, CE.

Therefore, based on the ASA Congruence Theorem, we can conclude that both triangles are congruent to each other.

witch of the following best described perpendicular lines?

Answers

Answer: I have to make one up In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Step-by-step explanation:

What is the average rate of change of f(x), represented by the table of values, over the interval [-2,3]?

Answers

Answer:

D. 0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

Interval [-2, 3]

b = 3

a = -2

f(b) = f(3) = 5

f(a) = f(-2) = 2.5

Step 2: Find

Substitute [ARC]:                     [tex]\displaystyle \frac{5 - 2.5}{3 + 2}[/tex][Frac] Subtract/Add:                [tex]\displaystyle \frac{2.5}{5}[/tex][Frac] Divide:                           [tex]\displaystyle 0.5[/tex]

does this graph show a function?

Answers

Answer:

I think no this graph doesnot show function

no

Answer: no

Step-by-step explanation:.

Given the following roots identify additional roots 10 and √3

Answers

Given:

Two roots of a function are 10 and [tex]\sqrt{3}[/tex].

To find:

The additional roots.

Solution:

According to irrational root theorem, if [tex]\sqrt{b}[/tex] is a root of a function, then [tex]-\sqrt{b}[/tex] is also a root of than function.

Two roots of a function are 10 and [tex]\sqrt{3}[/tex].

Using irrational root theorem, we can say that [tex]-\sqrt{3}[/tex] is also a root of that function.

Therefore, the additional root is [tex]-\sqrt{3}[/tex].

a standardized test has 125 questions with a total of 1300 points

Answers

Answer:

Ummmm.... Whats your qustion???? Im confused...

Step-by-step explanation:

Eric bought a pizza pie, he ate 3/8 of the pie,karla ate 1/4 of the pie ,how much of the pizza did eat

Answers

Answer:

5/8 of the pizza was eaten

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Answer:

5/8

Step-by-step explanation:

3/8 + 1/4

1/4 x 2 = 2/8

3/8 + 2/8 = 5/8

The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?

Answers

ANSWER- 1

3to 7 = 3x7= 21 boys

there are 20 girls and 21 boys so

21-20= 1
one more boy

(X)=x3-22x2+157x-360 divided by (x-8)

Answers

Answer: 45 tell me if im wrong

Step-by-step explanation:

simplfy the expression and combine like terms 4 (x - 2) + 2 (x + 1)

Answers

Answer:

6x-6

Step-by-step explanation:

First you use the order of operations and multiply 4(x)+4(-2)=4x-8 and then 2(x)+2(1)=2x+2. Then you add it all together, 4x+2x+2-8=6x-6.

(hope this helps!)

Round of 94136 to the nearest whole number

Answers

Answer:

94136

Step-by-step explanation:

It would just be the same thing because their is no decimal or fraction after the number and 94136 is already a whole number

PLZ HELP IF U DONT KNOW PLZ DONT ANSWER

Answers

the question mark is equal to -5 and if you need f than f is equal to -15

Answer:

f= -15

Step-by-step explanation:

Read both, please.

4. Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from ticket sales. Write an inequality for the number of tickets the theater club needs to sell.

5. Using the information from problem 4, if the club sells 40 tickets in advance, what is the least number the club needs to sell at the door to reach the president's goal?

Answers

Answer:

8

Step-by-step explanation:

40 + 5 (at the door)=45

(president's goal) 400 divided by 45= approximately 8

find the value of a? Need help ASAP

Answers

Is 9 an answer?
If it is I think 9

i would like to know what kind of algebra that i was ?

Answers

Answer:

algebra  1

Step-by-step explanation:

Answer:

basic algebra

This chapter contains elementary algebra tutorials on the following topics:

1. Adding and Subtracting Algebraic Expressions, shows you how to do problems like: Simplify: −2[−3(x − 2y) + 4y].

2. Multiplication of algebra expressions, has examples like:

Expand (2x + 3)(x2 − x − 5).

3. Division of algebraic expressions, for example: (12a2b) ÷ (3ab2)

4. Solving Equations, like this one: 5 − (x + 2) = 5x.

5. Formulas and Literal Equations, which shows how to solve an equation for a particular variable.

6. Applied Verbal Problems shows why we are doing all this.

Step-by-step explanation:

HAHAHAHAHAHA LOL XD

Need help there only one answer

Answers

Answer:

12 + 12x + 6y

Step-by-step explanation:

6(2 + x + x + y)

= 6( 2 + 2x + y)

= 12 + 12x + 6y

Hope it will help :)❤

Pls anaerw this fast

Answers

Answer:

what do you need help with

A bag contains 1 green, 4 red, and 5 yellow balls. Two balls are selected at random. Find P(1 red and 1 yellow).

Answers

Answer:

1/5

Step-by-step explanation:

Answer:4/9

Step-by-step explanation:

If someone walks 6 2/3 miles our three day. How many miles how they walked per day

Answers

Answer:

Approx. 2.2 miles

Step-by-step explanation:

Convert 2/3 to a decimal, (.66)

Then, add it to the number 6. (6.6)

Divide the 6.6 miles by 3= 2.2.

Approx 2.2 miles a day

Today is Lucy's birthday. She is 5 years old. How old is Lucy in months?

Answers

Answer:

60 months

Step-by-step explanation:

hope that helps

Answer:

60 months

Step-by-step explanation:

12 months in a year

12x1=12

12x2=24

12x3=36

12x4=48

12x5=60 (:

The trapezoid has an area of 115 sq. units.

Answers

Answer:

Its has an area 115 square ft

Step-by-step explanation:

Fill in the table using this function rule.

y=-2x+3

× -2, -1, 0, 1

Answers

Answer:

If x = -2, -1, 0, 1, then (In this order) y = 7, 5, 3, 1

Step-by-step explanation:

If you put in each value of "x" into the equation, you'll get the appropriate "y".

y= -2(-2)+3

y= 4+3

y= 7

y= -2(-1)+3

y= 2+3

y= 5

y= -2(0)+3

y= 0+3

y= 3

y= -2(1)+3

y= -2+3

y= 1

Write the simplified form of the expression:
(-0.5z+0.9z)-(-0.3+0.9z)=

Answers

Answer:

[tex]=-0.5z+0.3[/tex]

Step-by-step explanation:

Given

[tex](-0.5z+0.9z)-(-0.3+0.9z)=[/tex]

Required

Simplify

Start by removing brackets

[tex]= -0.5z+0.9z+0.3-0.9z[/tex]

Collect Like Terms

[tex]=-0.5z+0.9z-0.9z+0.3[/tex]

[tex]=-0.5z+0.3[/tex]

What is the distance between point P1 and P2?

Answers

The rise is 1 and the run is 7

Ugh Lets discuss that when someone posts a PlEaSe HeLp me I have been trying all nIgHt a million people go to that question but when I ask %) points and brainliest no one answers it.

Answers

Answer:

Huh?

Step-by-step explanation:

Answer:

I been trying to get someone to help answer 2 of my English questions and 1 spanish question for like 3 weeks and no one wants to help. But they want my help. Like what's up with that.

Solve.

−14y=16

64

4

​−4


​−64

Answers

Answer:

Step-by-step explanation:

-14y = 16

-14y = 16

________

-14       -14

HELP PLZ

The PTA plans a spring carnival on a Saturday in April. If it's a sunny day, they estimate

that they will make $3,000, but if it rains, they will lose $600 because nobody will come.

There's a 30% chance of rain on Saturday. Create a probability model.

Answers

Answer:

The probability model is

= P(A or B)

Step-by-step explanation:

a) Data and Calculations:

Estimated revenue if the day is sunny = $3,000

Estimated loss if the day is rainy = $600

The probability of rain = 30%

Therefore, the probability of sunshine = 70% (100 - 30)

The probability model is based on the probability of rain or sunshine

= P(A or B)

= A*70% - B*30%

The outcome from either rain or sunshine

= ($3,000 * 70%)  -($600 * 30%)

= $2,100 - $180

= $1,920

Simplify by combining Like Terms: 3x + 6 + 8x2 - 2x + 3x2

Answers

x + 6 + 16 + 6
answer: x + 28

Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually. How much is in his account after five years?

Answers

Answer:

960

Step-by-step explanation:

We know that 4 percent of 800 dollar is 32 dollar. So 32 time 5 (because it ask us how much after 5 year) is 160. Now we add it to 800 because it ask  the total in his account so it 960.

After five years, Rajeev have $960 in his account.

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually.

Here, Principal amount = $800

Rate = 4%

Time = 5 years

Hence,

Interest = PRT/100

            = 800 x 4 x 5 / 100

            = 160

Thus, Total amount after 5 years is,

⇒ 800 + 160

⇒ $960

Therefore, After five years, Rajeev have $960 in his account.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ3

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