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laila [671]
3 years ago
8

Which is the solution to this system of equations? x - 2y= 15 2x + 4y = -18

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0
The answer to your problem is 3 and -6
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A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest
solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2  

Step-by-step explanation:

The formula for simple interest is  

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 %       = 0.04

         Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}

OK.

4 0
4 years ago
A recipe for a pan of brownies requires 1 ½ cups of milk, 2/3 cups of sugar, and 1 1/5 cups of oil. How many cups of ingredients
slega [8]

Answer:

Step-by-step explanation:

A recipe for a pan of brownies requires 1 ½ cups of milk. Converting the 1 1/2 to improper fraction, it becomes 3/2 cups of milk

The recipe also requires 2/3 cups of sugar

It also requires 1 1/5 cups of oil. Converting to improper fraction, it becomes 6/5 cups of sugar

Total number of cups of ingredients in the mixing Bowl will be sum of the amount if milk, sugar and oil. It becomes

3/2 + 2/3 + 6/5 = (45 + 20 + 36)/30

= 101/30 cups of ingredients

7 0
4 years ago
Combine like terms to create an equivalent expression, 7k−k+19
Tanya [424]

Answer: 6k+19

Step-by-step explanation:

To combine like terms subtract the k term from the 7k term.

7k-k+19 = 6k+19

4 0
3 years ago
Read 2 more answers
Nash's Trading Post, LLC took a physical inventory on December 31 and determined that goods costing $208,000 were on hand. Not i
Gemiola [76]

Answer:

$261,500

Step-by-step explanation:

What amount should Nash report as its December 31 inventory?

Item                                                             Amount

Goods on hand as per physical count    $208,000

(+) Goods purchased from Swifty             $30,000

Corporation FOB shipping point    

(+) Goods sold to Marigold Corp               <u>$23,500</u>

FOB destination (at cost value)

Ending inventory                                        <u>$261,500</u>

<u />

<em>Notes</em><u>: </u>

1) In case of FOB shipping point, the ownership of goods is transferred to the buyer when the goods are shipped and hence in the case of purchases from Swifty corporation, the goods should be included in the inventory of Nash's Trading Post as the goods are shipped and are in transit.

2) In case of FOB destination, the ownership of goods is transferred to the buyer when the goods reaches to the buyer, hence in the case of sales made to Marigold Corp, the goods are still in transit and the ownership is not transferred to Marigold Corp, hence Nash's Trading Post should included that goods in its inventory.

7 0
3 years ago
The function v(r)= 4/3 can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
bogdanovich [222]
The volume of the basketball when the radius is r
3 0
3 years ago
Read 2 more answers
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