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77julia77 [94]
3 years ago
13

Mary’s coffee shop borrowed $9,850 for new chairs and tables. The money was borrowed for 9 months at 9 ¼ % discounted rate, what

is the amount of the discount?
Mathematics
1 answer:
Greeley [361]3 years ago
6 0
Let
M---------------> money borrowed -------------> <span>$9,850
r--------------> </span>discounted rate--------> <span>9 ¼=9.25-------> 0.0925
t---------------> time--------> </span><span>9 months=9*30=270 days
D-------------> </span><span>amount of the discount

we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34

the answer is $683.34</span>
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A car travels 200 miles in the same time that a train travels 300 miles. The speed of the train is 20 miles per hour more than t
scZoUnD [109]
The equation is 
time= distance/rate
and the train is going 300 miles 
the car is going 200 miles
the train goes 20 miles faster than the car
fitting the numbers into the equation 
200/r=300/(r+20)
cross multiply 
200/r = 300/(r+20)
200(r+20) = 300r 
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6 0
4 years ago
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6 0
3 years ago
The length of a rectangle is 1 more than 3 times the width . If the perimeter of the rectangle is 18 units , what’s it’s area?
nika2105 [10]

Answer:

14 square units

Step-by-step explanation:

You need to know the formulas for the perimeter of a rectangle and the area of a rectangle, which are

2L + 2W - P     where L is the length, W is the width, and P is the perimeter

and

A = LW      

So we need to find the length and width to find the area


Step 1:  Write equations out of the given information

"The length of a rectangle is 1 more than 3 times the width" can be rewritten as

L = 3W + 1


"the perimeter of the rectangle is 18 units" can be rewritten as

2L + 2W = 18


Step 2:  Plug the first formula into the second one and solve

      2(3W + 1) + 2W = 18

Simplify...

      6W + 2 + 2W = 18

Combine like terms and subtract 2 from both sides

     8W = 16

Divide both sides by 8 to isolate the W

   W = 2


Step 3:  

Plug W = 2 into the formula for L and solve for L

  L = 3(2) + 1

      L = 6 + 1

        L = 7


Step 4:  Use the length and width to calculate the area

A = LW

  A = (7)(2)

     A = 14 units squared

6 0
4 years ago
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