Please help me with this

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

What is the equation of a line that has a slope of 2 and passes through the point (-6, 3)?

musickatia [10]

Answer:

y=2x+15

Step-by-step explanation:

Idk if you still need help but this is the answer.

Explanation:

You want to find the equation for a line that passes through the point (-6,3) and has a slope of 2.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:

y=2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-6,3). When x of the line is -6, y of the line must be 3.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-6,3).

So, why not plug in for x the number -6 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-6,3). y=mx+b or 3=2 × -6+b, or solving for b: b=3-(2)(-6). b=15.

The equation of the line that passes through the point (-6,3) with a slope of 2

is y=2x+15

6 0

3 years ago

2) Last year, we noticed that the population of Tam worth was 5.6 x 10°. The

kolbaska11 [484]

Answer: The correct is Liverpool has a higher population.

It has a higher population by 79.2

Step-by-step explanation:

pls give blrainleist

7 0

3 years ago

M is directly proportional to the square of X

Oliga [24]

Answer:

m=kx squared

24=k*2squared

24/4=k

k=6

24= 6*4

m=6xsquared

5 0

3 years ago

A coach jogs 1.8 miles on Monday, 1.3 miles on Tuesday, and 1.2 miles on Wednesday. If the coach's friend jogs twice as far as t

Bond [772]

Answer:

Coach's friend jog 8.6 miles.

Step-by-step explanation:

Given:

A coach jogs 1.8 miles on Monday, 1.3 miles on Tuesday, and 1.2 miles on Wednesday.

If the coach's friend jogs twice as far as the coach.

Now, to find the miles the coach's friend jog.

Coach jogs on Monday = 1.8 miles.

Coach jogs on Tuesday = 1.3 miles.

Coach jogs on Wednesday = 1.2 miles.

Total miles coach jog = $1.8+1.3+1.2=4.3\ miles.$

As, coach's friend jogs twice as coach.

So, to get the miles coach's friend jogs multiply total miles coach jog by 2 we get:

$Total\ miles\ coach\ jog\times 2$

$4.3\times 2\\\\=8.6\ miles.$

Therefore, coach's friend jog 8.6 miles.

4 0

3 years ago