An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years

Answers

Answer 1

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

[tex]I=Prt[/tex]

Where

P is the principler is the rate in decimalt is the time in years

Substituting the following values in the interest formula and solve for P

I=$3000

r = 6% = 6/100 = [tex]0.06[/tex]

t = 5

so the equation becomes

[tex]I=Prt[/tex]

[tex]3000=P\left(0.06\right)\left(5\right)[/tex]

switch both sides

[tex]P\left(0.06\right)\left(5\right)=3000[/tex]

[tex]P\left(0.3\right)=3000[/tex]

[tex]P=10000[/tex] $

Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.


Related Questions

C.18 of the houses are for sale How many houses are for sale?​

Answers

Step-by-step explanation:

18 ..............hope it helps

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.

Answers

Answer:

x = 45

y = 60

z = 75

Step-by-step explanation:

We can create three different equations with the given variables:

x + y + z = 180

y + z = 3 x

z = y + 15

then we can use this last equation to substitute for 'z" in the second equation:

y + z = 3x

y + y + 15 = 3 x

2 y + 15 = 3 x

x = 2/3 y + 5

Then we can re-write the first equation in terms of y and solve for this unknown:

2/3 y + 5 + y + y + 15 = 180

2/3 y + 2 y = 160

8/3 y = 160

y = 3 * 160 /8

y = 60

Then   x = 2/3 (60) + 5 = 45

so x = 45

and finally:   z = 60 + 15 = 75

so  z = 75

Evaluate the expression when a = 4 and c = -4. -a +2c​

Answers

Answer:

-12

Step-by-step explanation:

Answer: -12
-(4)+2(-4)=-12
I hope this helps!!

are the triangles congruent ? if they are state how they are congruent .

Answers

Answer:

Step-by-step explanation:

Not congruent

Better to say that there is not enough information to say, "Triangles are congruent"

A number N divided by -9 is -16

Answers

Answer: no

Step-by-step explanation:

algebraic expression for "a number , n, divided by 4 is 4. I

please help it’s due today

Answers

Answer:

-3

Step-by-step explanation:

1 - 4 = -3

2 - 1 = 1

(-3) / 1 = (-3)

John saved $50,000. and wants to put the money into an Index Annuity that pays an average of 8.4% per year, compounded semi-annually. How long will it take him to reach his goal of $1,000,000?

Answers

Answer:

Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding

i don't know the answer ​

Answers

Answer:

The answer is C.

Step-by-step explanation:

What is the anti derivative of f'(x)=19x+15?​

Answers

Answer:

Part A:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Part B:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Functions

Function Notation

Calculus

Differentiation

DerivativesDerivative Notation

Differential Equations

Integration

Integrals[Indefinite Integrals] Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f'(x) = 19x + 15[/tex]

Step 2: Find Antiderivative

[Derivative] Integrate both sides:                                                                 [tex]\displaystyle \int {f'(x)} \, dx = \int {19x + 15} \, dx[/tex][Left Integral] Simplify:                                                                                   [tex]\displaystyle f(x) = \int {19x + 15} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle f(x) = \int {19x} \, dx + \int {15} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:               [tex]\displaystyle f(x) = 19 \int {x} \, dx + 15 \int {} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]:                                     [tex]\displaystyle f(x) = 19 \bigg( \frac{x^2}{2} \bigg) + 15x + C[/tex]Simplify:                                                                                                         [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Step 3: Find Particular Solution

Substitute in function value [Function f(x)]:                                                 [tex]\displaystyle 87 = \frac{19}{2}(-4)^2 + 15(-4) + C[/tex]Evaluate:                                                                                                         [tex]\displaystyle 87 = 92 + C[/tex]Solve:                                                                                                             [tex]\displaystyle C = -5[/tex]Substitute in C [General Solution]:                                                               [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differential Equations

A plant was 46 centimetres tall. After a month it had grown 7% taller. How tall was the plant after a month?

Answers

Answer:

49.22 centimeters.

Step-by-step explanation:

7% of 46 is 3.22 which means you add 46 to 3.22and u get the answer 49.22

Step-by-step explanation:

2^{51} mod 22 in words, two to the power of fifty-one mod twenty-two

Answers

Since 2⁵ = 32, and

2⁵ ≡ 32 ≡ 10 (mod 22),

we have

2⁵¹ ≡ 2 • 2⁵⁰ ≡ 2 • (2⁵)¹⁰ ≡ 2 • 10¹⁰ (mod 22)

Now consider 10¹⁰ (mod 22):

10 = 2 • 5

10¹⁰ ≡ 2¹⁰ • 5¹⁰ ≡ (2⁵)² • 5¹⁰ ≡ 10² • 5¹⁰ ≡ 2² • 5¹² (mod 22)

so that

2⁵¹ ≡ 2³ • 5¹² (mod 22)

Now consider 5¹² (mod 22):

5 and 22 are coprime, and ɸ(22) = 10 (where ɸ(n) is the Euler totient function). By Euler's theorem,

5¹² ≡ 5² • 5¹⁰ ≡ 5² • 1 ≡ 25 ≡ 3 (mod 22)

and so

2⁵¹ ≡ 2³ • 3 ≡ 24 ≡ 2 (mod 22)

Another, more tedious method: Start with smaller powers of 2 and look for a pattern.

2 ≡ 2 (mod 22)

2² ≡ 4 (mod 22)

2³ ≡ 8 (mod 22)

2⁴ ≡ 16 (mod 22)

2⁵ ≡ 32 ≡ 10 (mod 22)

2⁶ ≡ 2 • 32 ≡ 2 • 10 ≡ 20 (mod 22)

2⁷ ≡ 2 • 20 ≡ 40 ≡ 18 (mod 22)

2⁸ ≡ 2 • 18 ≡ 36 ≡ 14 (mod 22)

2⁹ ≡ 2 • 14 ≡ 28 ≡ 6 (mod 22)

2¹⁰ ≡ 2 • 6 ≡ 12 (mod 22)

2¹¹ ≡ 2 • 12 ≡ 24 ≡ 2 (mod 22)

2¹² ≡ 2 • 2 ≡ 4 (mod 22)

and so on, with a cyclic pattern of length 10. That is, [tex]2^{10k+1}\equiv2\pmod{22}[/tex] for any integer k ≥ 0. So 2⁵¹ ≡ 2 (mod 22).

(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:

Answers

Answer:

Step-by-step explanation

2x²+3x+5 roots means the zeros

So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant

b²-4ac=3²-4(3)(5)

9-60=-51

If the discriminant is < 0 means the equation have no solution

Help me with this someone, please!

Answers

Answer:

-45 I think

Step-by-step explanation:

6 × (-7) - 3

-42 - 3

-45

Sorry if this is wrong

-45 myyyybhomieeeeeee the guy above u is right

Please help me I believe the answer is b correct me if I’m wrong

Answers

Answer:

71°

Step-by-step explanation:

h = 71° ( corresponding angles)

Tia picked 56 ounces of blueberries. She used 8 ounces to make muffins and packed the remaining blueberries into 12-ounce packages. Which expression can be used to find the greatest number of packages of blueberries that Tia packed? ;-;

Answers

4.25.
Do 56-8 then divide that answer by 12

Answer:

4.25

Step-by-step explanation:

Need help with this question ASAP!!!!!!

Answers

Answer:

47

Step-by-step explanation:

A right triangle is 90 degrees

90-12-31=47

Find an equation of the line that satisfies the given conditions.
Through (−1, −2); perpendicular to the line 2x + 7y + 6 = 0

Answers

use y=mx+b to find EOL.

if two lines are perpendicular it means their slopes are negative reciprocals of one another. So, if the slope of the given line is 2, the slope of the line we are trying to find is -1/2.

To find “b” (the y-intercept) we have to plug in the given point into y=mx+b with the slope we just found;

y = mx+b
-2 = (-1/2)(-1) + b
-2 = 1/2 + b
-2 - 1/2 = b
-5/2 = b

the EOL is y = -1/2x - 5/2

A study found that on average there were 566,000 tweets per hour.
Using this data, how many tweets are there per minute?
A
33, 960,000
B
13,584,000
С
18,866.6
D
9,433. 3

Answers

Answer:  D)   9,433.3

Work Shown:

566,000 tweets = 1 hour

566,000 tweets = 60 minutes

566,000/60 tweets = 60/60 minutes .... divide both sides by 60

9,433.3 tweets = 1 minute

There were roughly 9,433.3 tweets per minute.

Can you helps me put them into each category you can just say the first one is blank and so on

Answers

Answer:

1st: parallel

2nd: perpendicular

3rd: neither

4th: neither

5th: neither

6th: parallel

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!! PLEASEEE NO S P A M!!!!!
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?
I know the answer is 5.588 but why like what are the steps to solve it?

Answers

Answer:

Step-by-step explanation:

find distance traveled: [tex]\frac{950 km}{1 hr}*{5 hrs}[/tex] = 4750 kmtotal distance / new speed:     [tex]\frac{4750 km}{850 km/hr} = 5.5882 hrs[/tex]

Solve: 6n + 5 < 11
Wich graph shows the solution?

Answers

Answer:

n<1

first graph

Step-by-step explanation:

subtract 5 from both sides

6n<6

divide by 6

n<1

please mark brainliest if correct

The student government snack shop sold 32 items this week. for each snack type, what percentage of all snacks sold where of that type

Answers

Answer:

0.02 Sorry If it isn't right.

Step-by-step explanation:

A farmer plants 22,680 wheat plants in 126 rows. Each row contains the same number of plants. How many wheat plants are in each row?
Help me please

Answers

Answer:

180 plants per row

Step-by-step explanation:

This is a division problem.

When he places 22,680 plants in 126 rows, he is dividing the 22,6980 plants by 126 rows.

22,680/126 = 180

Answer: 180 plants per row

Answer:
180 wheat plants in each row
Step by step explaintion:
22,680 wheat plants ➗ 126 rows = 180 wheat plants per row
Final answer:
180 wheat plants per row or 180 wheat plants in each row

In the function, f(x) = 6x2 – 4 , what is the value of f(-2)?

Answers

Answer:

f(-2) = 14

Step-by-step explanation:

f(-2) = 6(-2) 2 - 4

f(-2) = -12 + 2 - 4

f(-2) = -10 - 4

f(-2) = -14

The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters. A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31. Which statement is true about the box plots? Select three options.

Answers

Answer: B,D,E

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

:)

Determine the slope and y-intercept of the line represented in the table below.

Answers

Answer:

i don't know . i did this in sixth grade and i failed

Step-by-step explanation:

-16 + (unknown) = -6

Answers

Answer:

10  

Step-by-step explanation:


In the diagram above, 24 = 240°.
Find the measure of Z3.
23 = [ ? 1°

Answers

Answer:

∠3 = 140

Step-by-step explanation:

∠4 + ∠3 = 180

40 + ∠3 = 180

∠3 = 180 - 40

∠3 = 140

There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles

Answers

Answer:

4 to 7 *maybe

Step-by-step explanation:

what is this graph in equation form​

Answers

Answer:

A linear graph

This is from a linear graph
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