If $620 is invested at 6% per
annum, how long will it be until
it reaches $713?​

Answers

Answer 1

Answer:

It will take 2 1/2 years

Step-by-step explanation:

Answer 2

Using simple interest, it is found that it will take 2.5 years for the account to reach $713.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount. r is the interest rate, as a decimal.

For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]713 = 620(1 + 0.06t)[/tex]

[tex]1 + 0.06t = \frac{713}{620}[/tex]

[tex]0.06t = 1.15 - 1[/tex]

[tex]0.06t = 0.15[/tex]

[tex]t = \frac{0.15}{0.06}[/tex]

[tex]t = 2.5[/tex]

It will take 2.5 years for the account to reach $713.

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Related Questions

Find the final sale price of a basketball that is $ 35 which is on sale for 50% and then gets an additional 10% off.

Answers

Answer:

$15.75

Step-by-step explanation:

$35 * 0.50 = 17.5

$35 - $17.50 = $17.50

$17.50 * 0.10 = $1.75

$17.50 - $1.75 =$15.75

Answer:

$15.75

Step-by-step explanation:

To find the percent of a number, we need to express the percent as a decimal with the decimal point of the original percent moved two places to the left. We cannot add the two percents together. You are only paying 50% of the original price.

50% = 0.5

We will now move to decimal two places to the left.

0.005 x 35 = 17.50

Now, we find 90% (since we only care about the amount you are paying) of $17.50

0.009 x 17.50 = 15.75

$15.75

will someone plz do this question​

Answers

Answer:

the answer is a your welcome

ann's ribbon was 3/5 m long. Xinyi's ribbon was 3/4 m longer than ann's ribbon. What was the length of xinyi's ribbon?​

Answers

Answer:

[tex]1\frac{7}{20}[/tex] m

Step-by-step explanation:

[tex]\frac{3}{5} + \frac{3}{4}[/tex] =  [tex]1\frac{7}{20}[/tex] m

3/5+3/4=27/20

Which is 1 7/20 or 1.35

An amount of money that is deposited or borrowed that earns or is charged interest is called a what?

Answers

Answer:

the principal

Step-by-step explanation:

0.01 is blank times as much as 0.001 please answer i will brainliest ​

Answers

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m=-3?
Check all that apply.

Answers

Answer:

A,B, AND C

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

W=10


Explanation:

First you need to find the area of the triangle. To do that you do BH*0.5
So- 8*6*.5
And you get- 24
So if the area of of the rectangle is 5 times the size of the area of the triangle then you do 5*24 and get 120
And since we know 12 is one of the sides and to find area of a rectangle u do L*W, all you would do is 120/12 and you get 10

Solve x2 = 144
A) x = ±12
B) x = ±72
C) x = ±288
D) x = ±20,736

Answers

Answer:

A

Step-by-step explanation:

Please help please I beg you if you love puppy’s puppy eyes please

Answers

The answer is the one that would be D is the choices were lettered: Moving the decimal point one place to the left makes the number 1/10 of its original value.

Here is a system of equations. y=2x-1 y=-x-4 Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.​

Answers

Answer:

The solution of the given system is: (-1,-3)

Step-by-step explanation:

Given equations are:

[tex]y = 2x-1\\y = -x-4[/tex]

Solving a system using graph means plotting the lines represented by the system of equations and then finding out where the lines intersect. If the lines intersect at only one point, that point is solution of the system.

We have used the online graphing calculator "Desmos" plot the lines.

Manually, the points can be obtained by substituting values of x in both equations

In the attached picture, the red line represents the first equation and the blue line represents the second. Both lines intersect at (-1,-3)

Hence,

The solution of the given system is: (-1,-3)

Calculate the probability that a life aged 0 will die between ages 19 and 36, given the survival function

Answers

Answer:

Question: **Actuarial Mathematics, Survival Models** Calculate The Probability That A Life Aged 0 Will Die Between Ages 19 And 36, Given The Survival Function S0(x) = (1/10), 0 X 100 Answer: 0.1.

Step-by-step explanation:

x + -19 = 25 plsssss

Answers

Answer:

44

Step-by-step explanation:

X + -19 = 25

X-19=25

X=25+19

X=44

So the answer is 44

An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.

Answers

Answer:

She paid $67692.31 for the house originally.

Step-by-step explanation:

Let the initial cost of the house be [tex]x[/tex] dollars.

Given:

Selling price of the house (S.P) = $88000

Profit made = 30% of 'x' = [tex]0.30x[/tex]

We know that,

Profit = Selling Price - Original price

[tex]0.30x = 88000 - x[/tex]

Adding [tex]x[/tex] on both sides, we get:

[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]

Dividing both sides by 1.3, we get:

[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]

Rounding to 2 decimal places, we get:

[tex]x=\$67692.31[/tex]

Therefore, she paid $67692.31 for the house originally.

A store manager wants to determine how satisfied customers are with the range of products available at the store. The manager arranges for
randomly selected customers at the store's checkout counters to be given a product feedback survey.
What is the sample?
OA. The sample is the randomly selected customers.
OB. The sample is the manager of the store.
OC. The sample is all customers of the store.
OD. The sample is all the store employees.

Answers

Answer: A

Explanation:

Since the store manager wants to determine how satisfied customer are with the range of product available at store. It’s only natural to ask customer themselves to give them feedback. And in this case, it’s the randomly selected customer.

Solve for x and verify:3(x+3)-2(x-1)=5(x-5)

Answers

Answer:

x=9

Step-by-step explanation:

Distribute:

3x+9-2x+2=5x-25

Combine like terms:

x+11=5x-25

Solve:

x-x+11=5x-x-25

11=4x-25

11+25=4x-25+25

36=4x

Divide by 9:

x=9.

Hope this helps :D

Answer:

x = 9

Step-by-step explanation:

Step 1: Solve both sides by distributing the values.

3x+9-2x+2 = 5x-25

Step 2: Put the like terms together.

3x-2x-5x = -25-9-2

-4x = -36

Step 3: Divide both sides by -4 to get the value of x.

[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-36}{-4}[/tex]

x = 9

Let's verify the answer.

3x+9-2x+2 = 5x-25

3(9)+9-2(9)+2 = 5(9)-25

27+9-18+2=45-25

20 = 20

Max can stuff 11 envelopes per minute. Jennifer can stuff 3 envelopes every 15 seconds. Joyce can stuff 650 envelopes in one hour. Who can stuff the envelopes at a faster rate?

Answers

Jennifer SHE MAKES 12 Minutes
Max makes 11
And Joyce 10
Answer- Jennifer

The Answer:

The Step-by-step explanation:

3x + 4y =12
What is the slope of the line?

Answers

Answer:

-3/4

Step-by-step explanation:

I hope this helps!

Answer:

-3/4

Step-by-step explanation:

Given3x + 4y = 12To findSlope of the lineSolution

Converting the equation into slop-intercept form:

3x + 4y = 124y = -3x + 124y/4 = -3x/4 + 12/4y = -3/4x + 3

Slope is -3/4

Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

Answers

Answer:

Machine A makes 432 on Monday. Machine 2 makes 520 parts on monday. 432+520=952

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Consider functions f and g.

Evaluate the function composition.

Answers

Answer:

I think answer wil me

find by multiple of that f.g

Answer:

Answer = 1 (Plato)

Step-by-step explanation:

Write a problem in which $180 would be a reasonable answer​

Answers

Answer: Word problem: Mya goes to a carnival and buys food for her and her friends.  She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.

Regular problem: $20+$15+$20+$100+$25=180

Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.

I would really appreciate it if someone could answer and explain how to work this problem I will give a brainless also :)

Answers

Answer:

Third choice, angle 5 and 2

Step-by-step explanation:

Vertical angles are opposite angles that are connected by intersecting lines.

5 and 2 are opposite angles and they are connected by, technically, two lines crossing each other.

Helppppo!!!!
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Jsjsjsjss
Jajajaj
Jajajaj
Pleaseee

Answers

Answer:A: yes, f and g are both concave down

B: yes, f and g are both concave up

C: no, f is concave up and g is concave down

D : no, f is concave down and g is concave up

Step-by-step explanation:

EASY MATH PLS HELP ASAP
Betsy is three times as old as she was 18 years ago. How many years old is she today?

Answers

Answer:

27

Step-by-step explanation:

18 years ago she was 9 and 9 x 3 is 27

3.
If m complement of

Answers

Answer:

complement of what ?

Step-by-step explanation:

Help me please!!
You’re solid

4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?


Answer for your polyhedron. Hint: Each tetrahedron will cover one face of the other solid. (4 points: 1 point for each blank)

Polyhedron 1: Solid:_____

Number: _____

Solid:_____

Number: _____

Polyhedron 2: Solid:_____

Number: _____

Solid:_____

Number: _____

Answers

The question is incomplete without the diagram.

Answer:

Icosahedron + Tetrahedron

Octahedron +Tetrahedron

Step-by-step explanation:

Polyhedron 1: Solid:_Icosahedron__    Number: __1___

                       Solid:_Tetrahedron____     Number: _20____

Polyhedron 2: Solid:___Octahedron__    Number: __1___

                       Solid:__Tetrahedron___      Number: __8___

Answer: c

Step-by-step explanation:

Determine the domain and range of the function shown in the graph.

Answers

Answer:

The domain and range of the function shown in the graph will be:

{x|x ≥ -4}; {y|y ≥ 2}

Thus, option 2 is true.

Step-by-step explanation:

We know that domain is the set of all possible values for which is the function is defined.

First, let's check the domain. We see a closed circle at x = -4 and the graph is heading towards +ve infinity i.e. [-4, ∞).

A closed circle means the point is included in the domain.

Therefore, the domain is:

{x|x ≥ -4}

We know that the range is the set of values of the dependent variable for which a function is defined.

Now, let's check the range. We see a closed circle at y = 2 and the y-values of the graph are heading towards +ve infinity. i.e. [2, ∞)

Therefore, the range is:

{y|y ≥ 2}

Hence, the domain and range of the function shown in the graph will be:

{x|x ≥ -4}; {y|y ≥ 2}

Thus, option 2 is true.

The measure of the angle is 44 times greater than its supplement.
What is the measure of the​ supplement?

Answers

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

To learn more about supplementary angles click here ;

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HELLLLLLLLLLLLLLLLLLLPPPPPPPPPP

Answers

Answer:

The answer is: 2 * 8n * 8n * 8n * 8n

Step-by-step explanation:

the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t

Answers

Answer:

well you have to use y=mx and plugg your numbers in

Step-by-step explanation:

sorry its not much help

2900 people attended a basketball game. 1769 of the people attending supported the home team, while 1131 supported the visiting team. What percentage of people attending supported the home team?

Answers

The answer is 61 percent, if you need help as to why ill be glad to help

The percentage of people attending supported the home team will be 39%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

2900 individuals went to a b-ball game. 1769 individuals going to upheld the host group, while 1131 upheld the opposing group.

The percentage is given as,

P = (1131 / 2900) x 100

P = 0.39 x 100

P = 39%

The percentage of people attending supported the home team will be 39%.

More about the percentage link is given below.

https://brainly.com/question/8011401

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