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mylen [45]
3 years ago
7

sophia borrowed $12,109 at 4.5% simple interest for 6 months. How much will the interest amount to? What is the total amount tha

t she will have to pay back at the end of 6 months?
Mathematics
1 answer:
Yuri [45]3 years ago
5 0
The applicable formula is
  I = Prt
where P = the principal value (12109), r is the interest rate (0.045), and t is the time period in years (1/2)

a) Substituting the given values, the interest amount is computed as
  I = ($12,109)(.0.45)(1/2)
  I = $272.45

b)
The amount Sophia will have to pay back is the sum of the principal amount and the interest owed.
  $12,109 + 272.45 = $12,381.45
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What is a salary and wages
LiRa [457]

Answer: salary is a form of payment from an employer to an employee, which may be specified in an employment contract and wages is monetary compensation (or remuneration, personnel expenses, labor) paid by an employer to an employee in exchange for work done.

Step-by-step explanation:

3 0
3 years ago
A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (5x+8)
nevsk [136]

Answer:

The perimeter of both figures is equal to 64\ units

Step-by-step explanation:

step 1

we know that

The perimeter of a square is equal to

P=4b

where

b is the side length of the square

we have

b=8x\ units

substitute

P=4(8x)=32x\ units

step 2

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

we have

L=(5x+8)\ units

W=(14)\ units

substitute

P=2(5x+8+14)=10x+44\ units

step 3

Equate both perimeters and solve for x

10x+44=32x

32x-10x=44

22x=44

x=2\ units

step 4

Find the perimeter of both

<em>square</em>

P=32x=32(2)=64\ units

<em>rectangle</em>

P=10x+44=10(2)+44=64\ units

6 0
3 years ago
If f(x) = 5x + 7 and g(x) = -2x - 4 Find f(g(x)) = -10x + [?] Enter​
grigory [225]

Answer:

f(g(x)) =  -10x -13

Step-by-step explanation:

Given

f(x) = 5x + 7

g(x) = -2x - 4

Required

Find f(g(x))

This is calculated as:

f(x) = 5x + 7

Substitute g(x) for x

f(g(x)) =  5(f(g(x)) + 7

Substitute g(x) = -2x - 4

f(g(x)) =  5(-2x - 4) + 7

Open bracket

f(g(x)) =  -10x - 20 + 7

f(g(x)) =  -10x -13

5 0
3 years ago
What is 8.1 divided by 2.2
sergiy2304 [10]

Answer:

hope

it helps!

Step-by-step explanation:

3.68181818

7 0
3 years ago
Read 2 more answers
Use the general solution to solve
Whitepunk [10]

For this case we must solve the following linear equation:

5-6x = 8x + 17

Adding6x to both sides of the equation we have:

5 = 8x + 6x + 17\\5 = 14x + 17

Subtracting 17 from both sides of the equation:

5-17 = 14x

Different signs are subtracted and the major sign is placed:

-12 = 14x

We divide by 14 on both sides of the equation:

x = - \frac {12} {14}\\x = - \frac {6} {7}

Answer:

x = - \frac {6} {7}

5 0
3 years ago
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