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Kitty [74]
3 years ago
5

Write a break-even problem and use a system of linear equations to solve it.

Mathematics
1 answer:
Kipish [7]3 years ago
8 0
Sup Dixie I n d d d d d d did d s s did s s Dad d did d d d did did d d d d d
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You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu
krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

x+y=250,000.

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then x\cdot 0.012=0.012x is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then y\cdot 0.062=0.062y is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

0.012x+0.062y=8,000.

3. Solve the system of equations:

\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.

Express x from first equation x=250,000-y and substitute it into the second equation

0.012(250,000-y)+0.062y=8,000.

Multiply this equation by 1000:

12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000

Then

x=250,000-100,000=150,000.

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.


8 0
3 years ago
Could somebody help me with
JulijaS [17]

Answer:

t + 0.8 =1.5

Step-by-step explanation:

Our objective is to get to 1.5. we know that part of the distance is 0.8 but we don't know the other half (t).

7 0
2 years ago
What is the value of x if the average of 10, 11, 12 and x is 9?
frosja888 [35]

Answer: The value of x is 3.

Step-by-step explanation:

Since we have given that

10,11, 12 and x

Average of above numbers = 9

As we know that

Average is given by

\dfrac{\text{Sum of observation}}{\text{Number of observation}}\\\\\\\dfrac{10+11+12+x}{4}=9\\\\10+11+12+x=9\times 4\\\\33+x=36\\\\x=36-33\\\\x=3

Hence, the value of x is 3.

6 0
3 years ago
Just help 10 points find M
Tomtit [17]

Answer

m= 09999897

Step-by-step explanation:

3 0
3 years ago
The sum of two consecutive integers is 75. Find the number
Luba_88 [7]

Divide 75 by 2:

75 / 2 = 37.5

Now you need the whole number below 37.5 and the whole number above 37.5:

37 + 38 = 75

The numbers are 37 and 38

4 0
3 years ago
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