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Svetllana [295]
3 years ago
10

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

e investor’s total profit was $115, how much was invested in each mutual fund?
Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b =  2500   ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115     ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a =  $500

Put this value of a in eq 1

500 + b =  2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

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Maksim231197 [3]

Answer:

32,100 Millimeters

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Hope It Helps

Step-by-step explanation:

6 0
3 years ago
Marigold Corp. took a physical inventory on December 31 and determined that goods costing $209,500 were on hand. Not included in
yaroslaw [1]

Answer:

Marigold should report an inventory amount of $265,000.

Explanation:

The term FOB (Free On Board) describes at what point the ownership of goods is transferred from the seller to the buyer. In case of FOB shipping point, the ownership of the goods is transferred to the buyer once the goods are shipped for transit. In case of FOB destination, the ownership of the goods is transferred to the buyer once the goods are received by the buyer.

Therefore, the goods in transit <em>purchased </em>by Marigold on FOB shipping point basis should be added to its inventory. The goods in transit <em>sold </em>by Marigold on FOB destination are also currently owned by Marigold so they shall also be added to its inventory.

The inventory amount to be reported by Marigold is computed as follows.

Physical inventory in hand                                          $209,500

Add: Purchases on FOB shipping point basis           $28,000

Add: Cost of goods sold on FOB destination basis  $27,500

Inventory amount to be reported                              $265,000

7 0
4 years ago
there are 4 coins. you get a dollar for every head. all four coins are flipped. what is the outcome? what about if you can choos
weqwewe [10]

The outcome for the flip is 2.

Probability:

Probability refer the possibility of the event required.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given,

There are 4 coins.

You get a dollar for every head. all four coins are flipped.

To find the outcome of the flips.

The possible outcomes from the initial flip are:

"4 heads" x 1

"3 heads" x 4

"2 heads" x 6

"1 heads" x 4

"0 heads" x 1

This gives an expected return of

=> (4 + 12 + 12 + 4 + 0)/16 = 2

So, the outcome is 2.

Either if you keep it then you have 2 as outcome of the flips, otherwise if you reflip the coins then you will get the same probability for it also.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

3 0
2 years ago
Help fast please <br> -7(w-4)+3w-27
Amanda [17]

Answer:

-4w+1

Step-by-step explanation:

Simplify the expression.

6 0
3 years ago
Which equation represents a linear function that has a slope of 5 and a y-interceptof-6?
Alexus [3.1K]

Answer:

y=5x-6

Step-by-step explanation:

Comparing y=5x-6 with y=mx+c,the slope is 5 and y intercept is-6

6 0
3 years ago
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