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oranzajimenez
14.11.2020 •
Mathematics
If DG = 60ft, solve for GO
35
7
None of the other answers are correct
25
6
Solved
Show answers
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Ответ:
A: 35
Step-by-step explanation:
DG is the combined segments DO and OG. In other words:
We know that DG is 60. DO is (4x-3) and OG is (2x+21). So, substitute:
Solve for x. Combine like terms:
Subtract 18 from both sides:
Divide both sides by 6. Hence, the value of x is:
GO is defined as (2x+21).
So, to find GO, we can now substitute 7 for x and evaluate. Therefore:
Hence, our answer is A.
Ответ:
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
We also know that the interest from both accounts add up to $900
The Interest from Account A (R = 3%, T = 1) is:
This implies that:
The Interest from Account B (R = 2%, T = 1) is:
This implies that:
From (1),
Putting this in (4)
From (2):
Putting this in (3):
(5) and (6) are simultaneous equations, hence, we can solve them:
Subtracting (5) from (6):
Hence:
Also:
Hence:
Hence, Larry invested $20000 at 3% annual interest and got $600 interest. He also invested $15000 at 2% annual interest and got $300.