Please help me solve #6 and #8 Also explain

A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The

Step2247 [10]

Complete questions:

A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The balance in the account after n months is An = 200(401)(1.0025^n - 1).(Round your answers to two decimal places.)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the amount of balance in an account after. 'n' months using the eqation:

An = 200(401)(1.0025^n - 1)

(a) Compute the first six terms of the sequence {An}.

A1 = 200(401)(0.0025) = $200.50

A2 = 200(401)(1.0025^2 - 1) = $401.50

A3 = 200(401)(1.0025^3 - 1) = $603.00

A4 = 200(401)(1.0025^4 - 1) = $805.01

A5 = 200(401)(1.0025^5 - 1) = $1007.53

A6 = 200(401)(1.0025^6 - 1) = $10210.54

B) balance 5 years after n = 5 * 12 = 60

A60 = 200(401)(1.0025^60 - 1) = $12,961.67

C.) balance 15 years after ; n = 15 * 12 = 180

A180 = 200(401)(1.0025^180 - 1) = $45,508.02

8 0

3 years ago

If anyone can answer these, i will love you forever

babunello [35]

Answer:

1. x+4, x+3, x+1 - all 3 sides

x+4 + x+3 + x+1 = 17

3x + 8 = 17

3x = 17 - 8

3x = 9

x = 3

Side BC = x + 3 = 3 + 3 = 6 in

Side CD = x + 4 = 3 + 4 = 7 in

Side AB = x + 1 = 3 + 1 = 4 in

2. Side BS = x, side SY = 4 + x,side BY=x+2

BS + SY + BY = 21ft

x + 4 + x + x + 2 = 21

3x +6 = 21

3x = 21- 6

3x = 15

x = 5

Side bs = 5ft

Side sy = 9ft

Side by = 7ft

3. x +5+x - 1 + x +8 = 36 yd

3x + 12 = 36 yd

3x = 36-12

3x = 24yd

x = 8 yd

PQ = 16yd

Qr = 7 yd

Pr = 13 yd

4. This also should be done in the same method as above

I hope I helped u

4 0

3 years ago

Read 2 more answers

What is additive property

Snowcat [4.5K]

Answer and Explanation:

I'm assuming you mean the "Additive property of equality".

The additive property of equality states if the same value amount is added to both sides of an expression or equation, it will remain equal.

Similarly, the additive property of inequalities states if the same value amount is added to both sides of an inequality, it will remain true.

7 0

3 years ago

A man buys a TV. The total cost is $2,500, and the sales commission is 8%. How much should the salesperson get as commission for

Margaret [11]

Answer:

$200

Step-by-step explanation:

First Change the percent to a decimal

In this case the percent was %8, change it into a decimal; 8%=.08

Next multiply 2,500 x .08 which gives you 200

The answer is $200! Hope this helps!.

5 0

3 years ago

11. Isaac wrote two simplified expressions that were not equal to each other. Each equation also had

Elodia [21]

Answer:

The equation has only one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- There are three types of solutions for the equations

Case (1)

# Two sides of the equation have different coefficient of the variable

and same or different numerical terms, then the equation has only

one solution

- Ex: 2x + 5 = x + 5, lets solve it

∵ 2x + 5 = x + 5

- subtract x from both sides

∴ x + 5 = 5

- Subtract 5 from both sides

∴ x = 0

- Zero is a solution

∴ The solution of the equation is x = 0

- If the numerical terms are different x will be any other value, so the

equation has only one solution

∴ The equation has one solution

Case (2)

# Two sides of the equation have same coefficient of the variable,

and different numerical terms, then the equation has no solution

- Ex: 14x - 20 = 14x + 10, lets solve it

∵ 14x - 20 = 14x + 10

- Subtract 14x from both sides

∴ - 20 = 10

- The left hand side not equal the right hand side , then there is

no value of x can make the two sides equal

∴ The equation has no solution

Case (3)

# Two sides of the equation have same coefficient of the variable,

and same numerical terms, then the equation has infinitely

many solutions

- Ex: 3x + 5 = 3x + 5, lets solve it

∵ 3x + 5 = 3x + 5

- Subtract 3x from both sides

∴ 5 = 5

- The left hand side is equal to the right hand side , then x can be

any value because the two sides is already equal without x

∴ The equation has infinitely many solutions

∵ He will write two expressions simplified , not equal , have different

coefficients on the variables and equate them, then it is like

the first case

- That means not same coefficient of the variable, and may be not

same numerical term

∴ The equation has only one solution

5 0

4 years ago