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topjm [15]
3 years ago
6

Flour costs $0.80 per pound and sugar costs $0.50 per pound. An order of flour and sugar weighs 15 pounds and costs $9.00. Make

a system of equations?
Please help I really need your help.
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer: x+y=15

0.80x+0.50y=9


Step-by-step explanation:

Let x be the amount of flour and y be the amount of sugar ordered.

Since, the order of flour and sugar weighs 15 pounds.

Therefore, x+y=15

Also, Flour costs $0.80 per pound and sugar costs $0.50 per pound.

The cost of ordered flour=$0.80x

The cost of ordered sugar=$0.50y

Now, the total cost of the order= 0.80x+0.50y=9

Hence, for the given situation the system of equations is:-

x+y=15

0.80x+0.50y=9



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Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
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Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

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                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

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                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

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                           A = $ 12728.48

Result:

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