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Tomtit [17]
3 years ago
8

Pls help due soon i’ll mark brainliest

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

I can't see anything dude, you on something?

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(√7)5=7n, what is n?
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n = 5/√7

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Answer:

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3 years ago
Larry Mitchell invested part of gis 35,000 advance at 3% annual simple interest and the rest at 2% annual simple interest. If hi
Rom4ik [11]

Answer:

He invested $20000 for 3% rate and $15000 for 2% rate.

Step-by-step explanation:.

Let the 3% rate be for Account A and the 2% rate for Account B.

From the question, we know that the Principal from both accounts must add up to $35000

P_A + P_B = 35000 ________________________ (1)

We also know that the interest from both accounts add up to $900

I_A + I_B = $900________________________(2)

The Interest from Account A (R = 3%, T = 1) is:

I_A = \frac{P_A *R*T}{100}

This implies that:

I_A = \frac{P_A *3*1}{100}\\\\\\I_A = \frac{3P_A}{100} \\\\\\100*I_A = 3P_A\\\\\\100I_A - 3P_A = 0________________________(3)

The Interest from Account B (R = 2%, T = 1) is:

I_B = \frac{P_B *R*T}{100}

This implies that:

I_B = \frac{P_B *2*1}{100}\\\\\\I_B = \frac{2P_B}{100} \\\\\\100*I_B = 2P_B\\\\\\100I_B - 2P_B = 0_____________________________(4)

From (1),

P_B = 35000 - P_A

Putting this in (4)

100I_B - 2*(35000 - P_A) = 0\\\\100I_B -70000 + 2P_A = 0\\\\100I_B +2P_A = 70000________________(5)

From (2):

I_A = 900 - I_B

Putting this in (3):

100(900 - I_B) - 3P_A = 0\\\\90000 - 100I_B - 3P_A = 0\\\\100I_B +3P_A = 90000_______________________(6)

(5) and (6) are simultaneous equations, hence, we can solve them:

100I_B +3P_A = 90000\\\\100I_B + 2P_A = 70000

Subtracting (5) from (6):

3P_A - 2P_A = 90000 - 70000

P_A = $20000

Hence:

P_B = 35000 - 20000\\\\

P_B = $15000

Also:

100I_B + 3P_A = 90000\\\\100I_B + (3 * 20000) = 90000\\\\100I_B + 60000 = 90000\\\\\\100I_B = 90000 - 60000\\\\100I_B = 30000

I_B = 3000/100 = $300

Hence:

I_A = 900 - 300\\\\

I_A = $600

Hence, Larry invested $20000 at 3% annual interest and got $600 interest. He also invested $15000 at 2% annual interest and got $300.

5 0
3 years ago
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