Given
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Total interest paid was $475
Find out he invest in each.
To proof
Let us assume that Paul invested in an account paying 4% be = x
As given in the question
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Let us assume that Paul invested in an account paying 5% be = 3x
Total interest paid = $475
First convert 4% in the decimal form
![=\frac{4}{100}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%7D%7B100%7D)
= 0.04
First convert 5% in the decimal form
![=\frac{5}{100}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B100%7D)
= 0.05
Than the equation become in the form
0.04x + 0.05 × 3x = 475
0.04x + 0.15x = 475
0.19x = 475
x = $2500
Paul invested in an account paying 4% be = $2500
Paul invested in an account paying 5% be = $7500
Hence proved
The answer is b the two equations are equal to each other
Step-by-step explanation:
Complete the proof of the Pythagorean theorem is given below.
Statement Reason
1. ΔABC is a right triangle, with a 1. Given
right angle at ∠C
2. Draw an altitude from point C 2. From a point not on a line, exactly
to AB one perpendicular can be drawn through the point to the line
3. ∠CDB and ∠CDA are right 3. Definition of altitude
angles
4. ∠BCA ≅ ∠BDC 4. All right angles are congruent
5. ∠B ≅ ∠B 5. ![Reflexive\:Property](https://tex.z-dn.net/?f=Reflexive%5C%3AProperty)
6. ΔCBA ~ ΔDBC 6. AA Similarity Postulate
7.
7. ![Polygon\:Similarity\:Postulate\:\:\:](https://tex.z-dn.net/?f=Polygon%5C%3ASimilarity%5C%3APostulate%5C%3A%5C%3A%5C%3A)
8.
8. ![Cross\:Multiply\:and\:Simplify](https://tex.z-dn.net/?f=Cross%5C%3AMultiply%5C%3Aand%5C%3ASimplify)
9. ∠CDA ≅ ∠BCA 9. ![All\:Right\:Angles\:are\:Congruent](https://tex.z-dn.net/?f=All%5C%3ARight%5C%3AAngles%5C%3Aare%5C%3ACongruent)
10. ∠A ≅ ∠A 10. ![Reflexive\:Property](https://tex.z-dn.net/?f=Reflexive%5C%3AProperty)
11. ΔCBA ~ ΔDBA 11. AA Similarity Postulate
12.
12. ![Polygon\:Similarity\:Postulate](https://tex.z-dn.net/?f=Polygon%5C%3ASimilarity%5C%3APostulate)
13.
13. ![Cross\:Multiply\:and\:Simplify](https://tex.z-dn.net/?f=Cross%5C%3AMultiply%5C%3Aand%5C%3ASimplify)
14.
14. ![Addition\:Property\:of\:Equality](https://tex.z-dn.net/?f=Addition%5C%3AProperty%5C%3Aof%5C%3AEquality)
15.
15. Distributive Property
16.
16.
17.
18. ![Substitution\:Property](https://tex.z-dn.net/?f=Substitution%5C%3AProperty)
I hope this helped and have a great day.
You need to times 2/3 twice
-2/-3 * -2/3