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vitfil [10]
3 years ago
13

How long will it take you to double an amount of $500 if you invest it at a rate of 4% compounded monthly?

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

Number of year = 17 year 4 month (Approx.)

Step-by-step explanation:

Given:

Current amount = $500

Future amount = 2 x 500 = $1,000

Rate of interest = 4%

Find:

Number of year

Computation:

Rate [Monthly] = 4% / 12 = 0.00333

Total time = 12 x n = 12n

A = P[1+r]¹²ⁿ

1000 = 500[1+0.003333]¹²ⁿ

2 = [1+0.003333]¹²ⁿ

2 = [1.003333]¹²ⁿ

Number of year = 17.358

Number of year = 17 year 4 month (Approx.)

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A point of the form 25 +bi is 37 units from 13 – 31i. What is the value of b
Svetach [21]

If we consider the positive value of b, then the value of b is 4.

<h3>What is the coordinate plane of a complex number?</h3>

A complex number in the form z = x + iy takes a coordinate plane in terms of (x,y). From the given information, we are given a distance between two points:

  • 25 + bi = (25,b)
  • 13-31i = (13, -31)

Now, the distance between two points can be represented by using the relation:

\mathbf{D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

\mathbf{37 = \sqrt{(13-25)^2+(-31-b)^2}}

\mathbf{37 = \sqrt{(-12)^2+(31+b)^2}}

\mathbf{37 = \sqrt{144+(31+b)^2}}

Taking the square of both sides

1369 = 144 + (31 + b)²

1369 - 144 = (31 + b)²

1225 = (31 + b)²

(31 + b)² = (35)²

(31 + b) = ±35

b = 35 - 31 or -35 -31

b = 4 or -66

Learn more about solving complex numbers here:

brainly.com/question/23729437

#SPJ1

8 0
2 years ago
Identify the graph of the line 3x-7y=-21
AveGali [126]
Y = (3x-21)/7
the picture is the graph

5 0
4 years ago
I need help thank you
Juliette [100K]

Answer:


Step-by-step explanation:

The key and the most critical step is to draw the line first. Don't do anything else before that.

(2,-8) (-2,-8)

What you find out is that the y value is always - 8.

So the line has no slope and any x value

y = 0*x + b

y = - 8 is the equation of the line.

8 0
3 years ago
Read 2 more answers
Veronica ran 1.5 times around a 2.05 mile beach track. How far did she run?<br> Your newer
Butoxors [25]

Answer:

Veronica ran 3.075 miles.

Step-by-step explanation:

In order to find how far Veronica ran, we'll have to multiply the amount of times she ran around the track by the length of the track.

1.5 * 2.05 = 3.075

You can leave the answer as is or round it to 3.1

3 0
4 years ago
(2.6×10^5)(1.9×10^2) ​
natka813 [3]

Answer:

49,400,000

Step-by-step explanation:

(2.6*10^5)(1.9*10^2)

Apply exponent rule

=2.6*1.9*10^5+2

Add the numbers: 5+2=7

=2.6*1.9*10^7

Multiply the numbers: 2.6*1.9= 4.94

10^7*4.94

10^7=10,000,000

=10,000,000*4.94

Multiply the numbers: 4.94*10000000=49,400,000

=49,400,000

Thanks for letting me help!!

6 0
4 years ago
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