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Valentin [98]
2 years ago
15

If you deposit 4500 in an account paying 3.2% interest continually home much will the account balance be after 1.5 year

Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $4,500.00 at a rate of 3.2% per year  compounded continuously  over 1.5 years is $4,721.27.

Step-by-step explanation:

Given

  • Principle P = 4500 (Let say in $)
  • Interest rate r = 3.2% = 0.032
  • Time period t = 1.5 years

To determine

Accrue Amount A = ?

Using the formula

A\:=\:Pe^{rt}

substitute r = 0.032, P = 4500, and t = 1.5

A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}

A = $ 4721.27

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $4,500.00 at a rate of 3.2% per year  compounded continuously  over 1.5 years is $4,721.27.

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Flauer [41]

Answer:

Do you mean an MP3 player?

Step-by-step explanation:

4 0
2 years ago
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect
EleoNora [17]

Hi! I'm Jenny and I'm a mathematician! I'd love to help you with this problem! :)

Lets get started...

I'll write the equation out for you!

x + x(xx)

Put the value of x = 2 in the above expression we get,

2 + 2(22)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10


8 0
3 years ago
Find the value of x.<br> (16x-4)°<br> 58°<br> (9x-6)°
mars1129 [50]
16x - 4 + 58 + 9x - 6 = 180
25x + 48 = 180
25x = 132
x = 5.28
5 0
2 years ago
Find the measure of the exterior angle.
PtichkaEL [24]

Answer:

1) 128°

2) 126°

3) 108°

<h2>Question one:</h2>

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

<h2>Question two:</h2><h2></h2>

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

<h2>Question three</h2>

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

8 0
3 years ago
Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?
son4ous [18]

Answer:

The answer is

<h2>-\frac{9}{7}</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

G(–2, 6) and H(5, –3)

The slope is

m = -3 - 6 / 5 -- 2 = - 9 /7

Hope this helps you

3 0
3 years ago
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