Mathematics College

At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?

At The Beginning Of Year 1, Sam Invests $700 At An Annual Compound Interestrate Of 5%. He Makes No Deposits

Answers

Answer 1

at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]

[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]

Related Questions

I was absentee and i dont know how to solve it help plz

Answers

Answer:

-1/3

i think.

Step-by-step explanation:

if it's to find slope

Answer:

m = -1/3

Step-by-step explanation:

There are two easy ways you can find the slope. The first one is using the rise over run method which is to first count how much you need to go up or down to get to the other point, and then how much you need to go forward. In this case you go down one, and forward three. This means its -1/3. You can also use the slope formula which uses the coordinates of each point. I attached it to this answer. (m representing slope)

The following ordered pairs represent a function.
(-2,-4) (-1, -2) (0, 0) (1, 2) (2, 4)
Which two ordered pairs can be added to the given set and still have the set represent
a function?

Answers

Answer:

(-3,-6) and (3,6)

Step-by-step explanation:

First, use process of elimination on the answer choices with x coordinates already used in the relation, because a value of x cannot have 2 outputs, or y-values. This leaves you with 2 options. Hope I helped :D

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

You are correct it is indeed mortgage!

Step-by-step explanation:

This is because a fixed expense is something that cannot be changed easily. Like a mortgage, car payments, rent payments, or insurance.

Hope this helps, I tried to just briefly explain! :)

Find the equation of the line

Answers

Answer:

Y = 4x - 9

Step-by-step explanation:

Hope this helps! If it’s wrong I’m really sorry.

Pls give brainliest!

Answer:

...

Step-by-step explanation:

The American Opportunity Credit is?

Answers

The American Opportunity Tax Credit is a tax credit to help pay for education expenses paid for the first four years of education completed after high school. You can get a maximum annual credit of $2,500 per eligible student and 40% or $1,000 could be refunded if you owe no tax.

Help help help help help help help MATH MATH

Answers

Answer:

60

Step-by-step explanation:

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points) Positive, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is positive Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive Negative, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is negative Negative, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is negative

Answers

Answer: Choice B

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

positive times positive = positivepositive times negative = negativenegative times negative = positive

Here is one example for each rule

8*7 = 565*(-9) = -45-2*(-4) = 8

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

What is the number that is greater than 0.13 but smaller than 0.131

Answers

Answer:

any number between the two

for example: 0.1309, 0.1308, 0.1301, etc.

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

0.1308, 0.1309, 0.1301

9x + 3 – 7x + 4
Help me out please?

Answers

Answer: The answer is 2x + 7.

Explanation: First, we need to add the numbers:

9x + 3 – 7x + 4

9x + 7 - 7x

And finally, we combine like terms:

9x + 7 - 7x

2x + 7

the answer is 2x plus 7

What is the result of 3/ 1/6
2
9
18
27

Answers

Step-by-step explanation:

remember 3 things

1. 3 = 3/1 (any integer is also a fraction of itself divided by 1).

2. 3 / 1/6 = 3/1 / 1/6 = 3/1 × 6/1 (dividing by a fraction is the same as multiplying with the upside-down fraction).

3 a/b × c/d = ac / bd. in our case 3/1 × 6/1 = 18/1 = 18

The answer would be 18? multiple num. by den. 3•6=18

Brainliest for right answer.

Answers

Answer:

441 millimeters of compound B

Step-by-step explanation:

4 + 7 = 11

693/11 = 63

7 · 63 = 441

Find the equation in standard form of the line passing through the points (6, 3) and (1,5)

Answers

Answer:

2x+5y=27

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(1-6)

m=2/-5

m=-2/5

y-y1=m(x-x1)

y-3=-2/5(x-6)

y-3=-2/5x+12/5

y=-2/5x+12/5+3

y=-2/5x+12/5+15/5

y=-2/5x+27/5

y-(-2/5x)=27/5

y+2/5x=27/5

5(y+2/5x)=5(27/5)

5y+2x=27

2x+5y=27

can you help me solve​

Answers

Answer:

A

Step-by-step explanation:

2^2 - 2 = 2

3^2 - 2 = 7

1^2 - 2 = -1

-1^2 - 2 = -1

The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years

Answers

Answer:
The second tv option (cheaper by $1)

Step by step explanation:
To find how much the first tv will cost all together complete the equation:
$330 + $14 * 8 = $442
Second tv cost:
$369 + $9 * 8 = $441

Hope this helps
Pls give me the brainliest

Solve the following system of equations.
y = 2x + 1
y = x2 – 5x + 7

Answers

The solution of the system of equation is (6, 13) and (1, 3).

How to solve system of equation?

The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 =  x² - 5x + 7

x² - 5x + 7 - 2x  - 1 = 0

x² - 7x + 6 = 0

x² - x - 6x + 6 = 0

x(x - 1) - 6(x - 1) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

Hence,

when x = 6

y = 2(6) + 1

y = 12 + 1 = 13

when x = 1

y = 2(1) + 1

y = 3

learn more on system of equation here:https://brainly.com/question/20023128

#SPJ1

4. Tomas uses 12 gallons of water to prepare lemonade for a party. The lemonade recipe states that for every 2 quarts of water, he should add cup of lemon juice and cup 1 of sugar. How much lemon juice does Tomas need?​

Answers

Answer:

Thomas will need 24 cups of lemon juice.

Step-by-step explanation:

There are 4 quarts in every gallon.

12 x 4 = 48

2 cups of lemon juice for every 2 quarts of water.

48 / 2 = 24

Hope This Helps!

11/2 ___ 55%? PLS I NEED A AWNSER

Answers

Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

A car travels at an average speed of 52 miles per hour. How long does it take to travel 234 miles

Answers

speed = distance/time

so to work out time you do distance/ speed

234/52= 4.5hours

)
0
2
1 + 3 = 2 +
Balancing equation

Answers

I’m not sure but I need points so please mark this as answer :)

Able Johnson wants to buy a whole life policy with a face value of $250,000. He is 40 years old, and the premium fee for his age is $19.50 per
$1,000 unit of face value. What is his annual premium?

Answers

Answer:

19.65 cnets

Step-by-step explanation:

Help math if f(x) =

PLEASEEEEE MY LIFE DEPENDS ON THIS

I will send good fortune your way if you answer correctly (and points)

Answers

We have: f(-3) = -2(-3) = 6

ANSWER: f(-3) = 6
Ok done. Thank to me :>

Most plumbing companies charge a fee to come to your house plus a charge per hour of work. The fees and charges for two plumbing companies are shown.
Company A Fee: $50 Charge per hour: $40 Company B Fee: $25 Charge per hour: $50

Write an equation for each company, where c = total cost (in dollars) and h = number of hours. Explain what the initial values and rates of change mean in this context.

Company A: Company B:​

Answers

Answer:

Company A: [tex]y=40x+50[/tex]

Company B: [tex]y=50x+25[/tex]

Step-by-step explanation:

The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.

Linear equation in slope-intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Company A charges $50 up front and $40 per hour afterwards, so the equation would be:

[tex]y=40x+50[/tex]

Company B charges $25 up front and $50 per hour, so:

[tex]y=50x+25[/tex]

What is the monthly payment for a 5 years 3,200 loan with a 9% APR?

Answers

Answer:

288 per month i guess 17280

Step-by-step explanation:

59) Two times a number added to another number is 25. Three times the first number minus the other number is 20.
Find the two numbers.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let the first number be x and second one be y !

Here's the Expressions representing the above scenario ~

[tex] \sf2x + y = 25[/tex]

[tex] \sf3x - y = 20[/tex]

If we add these two equations we will get ~

[tex] \sf2x + y + 3x - y = 25 + 20[/tex]

[tex] \sf5x = 45[/tex]

[tex] \sf x= 45 \div 5[/tex]

[tex] \sf x = 9[/tex]

Now, plug the value of x in first equation ~

[tex] \sf2x + y = 25[/tex]

[tex] \sf(2 \times 9) + y = 25[/tex]

[tex] \sf18 + y = 25[/tex]

[tex] \sf y = 25 - 18[/tex]

[tex] \sf y = 7[/tex]

Therefore, the first number is x = 9 and the second number is y = 7

Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)

Answers

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

The answer Is 1
Explanation it’s 1

If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?

Answers

Answer:

$1728

Step-by-step explanation:

1.5 days is 36 hrs

36 hrs is 2160 mins

2160/30 = 72 (this is the amount of times our money will be doubled)

72*2 = 144

$12*144 = $1728

Help please I’m begging pls thank you very much

Answers

Answer:

2 × n - 1 = x

Step-by-step explanation:

1 times 2 is 2-1 is 1.

2 times 2 is 4-1 is 3.

And so on.

1 TO 7 2 TO 5 3 TO 1  4 TO 3

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the quadratic formula to solve the equation.

X^2 - 7x – 6 = 0

Answers

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a=1.

b=-7

c=-6

x=

[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]

OR

[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]

Therefore x= 7,772

OR

x=-0,772

patsy can decorate 3 1/2 cupcakes in 1/4 hour at this rate how many cupcakes can patsy decorate in 1 hour

Answers

Answer:

14

Step-by-step explanation:

3.5 cupcakes can be done by 15 mn

X cupcakes can be done by 1 hour

35 ×60mn =15X

210 /15=X

X= 14

so 14 cupcakes will be done by an hour

if the stated rate on each of these loans was 5%, would they all have equal, effective annual rates? explain.

Answers

Answer:

im the Akash Shukla and Aap I will get them back to

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