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Savatey [412]
3 years ago
13

A town with a population 5,000 grows 3%per year. find the population at the end of 10yr

Mathematics
1 answer:
Zolol [24]3 years ago
5 0
Year 1 5000 X 1.03 5150
Year 2 5150 X 1.03 5305
Year 3 5305 X 1.03 5464
Year 4 5464 X 1.03 5628
Year 5 5628 X 1.03 5796
Year 6 5796 X 1.03 5970
Year 7 5970 X 1.03 6149
Year 8 6149 X 1.03 6334
Year 9 6334 X 1.03 6524
Year 10 6524 X 1.03 6720
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Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buy
Ivanshal [37]

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

3 0
3 years ago
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