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Kamila [148]
3 years ago
10

redo question 18 above with the same amount of deposit and the same interest rate, but with the interest compounded quarterly. h

ow much money would you have at the end of the four years in this situation?
Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
There are no given figures. I'll just show what the difference is. Let us assume the following
Principal = 10,000
interest rate = 12%
term = 4 years

Simple Interest = Principal * interest rate * term
S.I = 10,000 * 12% * 4 years
S.I = 4,800

Total value at the end of 4 yrs = 10,000 + 4,800 = 14,800

Compounded Interest. Compounded quarterly.
A = P(1 + r/n)^n*t
A = 10,000 (1 + 12%/4)^4*4
A = 10,000 (1.03)^16
A = 10,000 (1.60)
A = 16,000 value after 4 years.
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A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal
Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are  (8, 6), (4, 6), (8, −4), and (4, −4).  We know that the coordinates of the image after dilation  from the origin by a scale factor of k is given by:_

(xy)\rightarrow(kx,ky)

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→(8\times1.5,6\times1.5)=(12,9)

(4, 6)→(4\times1.5,6\times1.5)=(6,9)

(8, −4) →(8\times1.5,-4\times1.5)=(12,-6)

(4, −4)→(4\times1.5,-4\times1.5)=(6,-6)

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

3 0
3 years ago
At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors,
hjlf

Answer:

  • 32598720

Step-by-step explanation:

<u>Combination for the school government requires:</u>

  • 5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
  • 4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
  • 3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
  • 2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21

<u>So number of total ways is:</u>

  • 56*126*220*21 = 32598720
5 0
3 years ago
Help find the value of x pls. No links! Y
Citrus2011 [14]

=>7x+9=9x+5

=>7x+9-9=9x+5-9

=>7x=9x-4

=>7x-9x=9x-4-9x

=>-2x=-4

=>x=2

=>7x+9=7×2+9=23

=>9x+5=9×2+5=23

4 0
3 years ago
Which Relation is a Function Please Answer ASAP
earnstyle [38]

Answer:

A

Step-by-step explanation:

Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot

Hope that helps

3 0
3 years ago
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
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