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max2010maxim [7]
3 years ago
11

A combined total of $46,000 is invested in two bonds that pay 4% and

Mathematics
1 answer:
valkas [14]3 years ago
5 0


Answer: 4%-16000 and 9.5%-30000

Why:

1) x+y=46000

x=46000-y

2) 4%x+9,5%y=3490;

4x + 9.5y=349000; so 4*(46000-y)+9.5y=349000;

5.5y=165000

y=30000

x=46000-30000=16000


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The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√
uysha [10]

a^{2} +b^{2} =c^{2}

As we have to solve for b, it means we have to isolate b

So first of all subtract a^{2} from both sides

So we get

b^{2} =c^{2} -a^{2}

Now we need b , but its b^2 , so we can take square root on both sides.


taking square roots on both sides

b= +- \sqrt{c^2 -a^2}


Hence option B is correct

4 0
3 years ago
YZ has endpoints Y(0,5) and Z (12,3). Find the length of YZ to the nearest tenth.
Alex Ar [27]
Using the formula;
 d(Y, Z) =\sqrt{(xZ - xY)^2 + (yZ - yY)^2

You should get 12.1655 or 12.2 units.

Hope this helps you with Coordinate Solving!

4 0
4 years ago
Read 2 more answers
Richard has enrolled in a 401(k) savings plan. He intends to deposit $250 each month; his employer does not contribute to his ac
astraxan [27]

Answer:

Richard will have $60,000 in his account in 20 years.

Step-by-step explanation:

(1) Multiply $250 x 12

(2) Multiply the answer of $250 x 12 which is 3000 by 20

(3) Final answer would be $60,000

7 0
4 years ago
If JM = 5x – 8 and LM = 2x - 6, which expression represents JL?
Anastasy [175]

Answer:

3x-2

Step-by-step explanation:

JK =JL+LM

5x-8=JL +(2x -6)

JL = 5x-8 -2x+6

JL = 3x-2

6 0
3 years ago
Find m<br> A 36<br> B 132<br> C 24<br> D 12
iogann1982 [59]

Answer:

12

Step-by-step explanation:

sum of all angles of triangle =180

3x-12+2x+11x=180

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16x=192

x=12

4 0
3 years ago
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