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LenKa [72]
3 years ago
5

3400 dollars is placed in an account with an annual interest rate of 7-5%. How much

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

$7,735

Step-by-step explanation:

Assuming simple interest, the following formula applies:

A = P (1 + rt)

where,

A = Final Amount (we are asked to find this)

P = Principal Amount (given as $3,400)

r = annual interest rate (given as 7.5% = 0.075)

t = time in years (given as 17 years)

Substitute these into the equation above:

A = P (1 + rt)

A = 3,400 [ 1 + (0.075)(17) ]

A = $7,735

miss Akunina [59]3 years ago
4 0

Answer:

$11,625.80

Step-by-step explanation:

The equation is 3400(1.075)^17

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1. Use precise mathematical language to justify and explain each mathematical process.
iris [78.8K]

Mathematical processes are the steps used to determine the result of operations

  • The perimeter of the rectangle is 10x^2 - 14x + 28
  • The area of the rectangle is 5x^3 +17x^2  -31x + 45

The dimension of the rectangle is given as:

Length = 5x^2 - 8x + 9

Width = x + 5

<u>(1) The perimeter of the triangle</u>

This is the sum of the side lengths of the rectangle.

So, we have:

Perimeter = 2 \times (Length + Width)

This gives

Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)

Collect like terms

Perimeter = 2 \times (5x^2 - 7x + 14)

Open brackets

Perimeter = 10x^2 - 14x + 28

Hence, the perimeter of the rectangle is 10x^2 - 14x + 28

<u>(2) The area of the triangle</u>

This is the product of the dimensions of the rectangle.

So, we have:

Area = Length \times  Width

This gives

Area = (5x^2 - 8x + 9) \times  (x + 5)

Open brackets

Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45

Collect like terms

Area = 5x^3 - 8x^2 +25x^2+ 9x  - 40x + 45

Area = 5x^3 +17x^2  -31x + 45

Hence, the area of the rectangle is 5x^3 +17x^2  -31x + 45

Read more about areas and perimeters at:

brainly.com/question/15656646

6 0
2 years ago
Calculate S_24 for the arithmetic squence in which a_13= 1.9 and the common difference is d=3.7
zloy xaker [14]

Answer:

D. 1.2

Step-by-step explanation:

The sum of an arithmetic sequence is the product of the average term value and the number of terms.

The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).

We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...

... (-1.8 + 1.9)/2 = 0.05

The product of this value and the number of terms (24) is ...

... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence

7 0
3 years ago
Which of the numbers listed below are solutions to the equation? Check all
8_murik_8 [283]

Answer:

The answer is 25 and -25 :)

If this was helpful, please consider giving brainliest!

6 0
3 years ago
Can someone help me solve for x in this equation?? 25+3.50x &lt; 17+7.50x
Lelu [443]
So we want to solve like if it was just a basic equation. We start with 25+3.50x<17+7.50x and get rid of our smallest x. That means we get rid of the 3.50x by subtracting from both sides and our new equation is 25<17+4x. Let’s get our x by itself shall we, so let’s subtract 17 from both sides and we get 8<4x. Finally all we do is divide by 4 and just like that 2
4 0
4 years ago
5 Consider this system of equations:<br> 5x + y = -2<br> 2x - 2y=4
Ilia_Sergeevich [38]

Answer:

x  = 0

  y  = -2

Step-by-step explanation:

The given system of equation are:

   5x + y = -2

   2x - 2y = 4  

The problem here is to find x and y from the expression

   5x + y = -2     ----- i

   2x - 2y = 4    ---- ii

 So;

i x 2 :  10x + 2y  = -4     ----  iii

ii x 5 :  10x - 10y  = 20    ----- iv

   iii - iv;   12y  = -24

                  y  = -2

    Now find x;

             5x + y  = -2

             5x  - 2  = -2

                  x  = 0

 

7 0
3 years ago
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