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Norma-Jean [14]
3 years ago
8

Sandra invested $8000 in two mutual funds. At the end of the year, the percent return on one fund, x, was 8% and the percent ret

urn on the other fund, y, was 3%. The combined return on both funds was $345.
Which system of equations can be used to find how much Sandra invested in each fund?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0
0.08x + 0.03y = 345, and to solve for each x and y, you can use the substitution method.
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You divide 9 by 21 then you multiply it by 1260 and you get 540

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You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill
Lunna [17]

Answer:

30 that singular tickets for each friend and if your asking for total it would be 120. :)

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They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)

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5 0
3 years ago
Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

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3 years ago
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GuDViN [60]

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x >= 20

Step-by-step explanation:

Solve for x:

Start to isolate x by subtracting the 6 from both sides.

Then multiply 10 from each side.

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zavuch27 [327]

Answer:

B. (x-3)

Step-by-step explanation:

Factorise the equation with suitable values.

In order to get 6 from x²-5x+6,

as an example, use the numbers 3 and 2.

We will get to factorise it to become (x-3)(x-2)

Based on the choice answers given, the answer is B. (x-3)

4 0
3 years ago
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