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liberstina [14]
3 years ago
14

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

ion represents the amount of money in Josiah’s account, y, after x years?
Mathematics
2 answers:
romanna [79]3 years ago
8 0

Answer:

y = 360(1.03)^x

Step-by-step explanation:

Here, x represents the number of year and y represents the amount after x years,

Given,

The initial amount, P = $ 360,

The compound rate of interest per year, r = 3 %,

Thus, the amount after x years would be,

y=P(1+\frac{r}{100})^x

y=360(1+\frac{3}{100})^x

y=360(1+0.03)^x

\implies y = 360(1.03)^x

Which is the required equation.

tangare [24]3 years ago
3 0
Hi there

The equation is
Y (x)=360 (1.03)^x

Good luck!
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in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE
maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point <em>A</em>.

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Reasons:

The given parameters are;

The diameter of the circle with center <em>O</em> = AB

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Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement {}                                                 Reason

1. AB is the diameter of circle     <em> </em>{}                 1. Given

2. DO is perpendicular to AB <em> </em>{}                     2. Given

3. ∠DOA = 90° <em> </em>{}                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°  <em> </em>{}                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA <em> </em>{}                                         5. Reflexive property

6. ΔDOA ~ ΔABC  <em> </em>{}                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA  <em> </em>{}                                       7. CASTC

8. ∠ABC = ∠ODA  <em> </em>{}                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC  <em> </em>{}                                        9. Angles in the same segment

10. ∠AEC = ∠ABC  <em> </em>{}                                       10. Definition of congruency

11. ∠AEC = ∠ODA  <em> </em>{}                                        11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

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angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

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