A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of
each year, which summation represents the money in the account 10 years after the initial deposit?
1 answer:
That is an annuity and use the attached formula.
Total = 300 * [(1.055)^11 -1] / .055 -300
Total = 300 * <span> <span> <span> 1.8020924036 </span> </span> </span> -1 /.055 -300
Total = 300 * <span>.8020924036 / .055 - 300
</span>Total = 300 * <span> <span> <span> 14.5834982473 </span> </span> </span> -300
Total = <span> <span> <span> 4375.0494741818 </span> </span> </span> -300
Total = <span>4075.05
</span>
Total = 300 * [(1.055)^11 -1] / .055 -300
Total = 300 * <span> <span> <span> 1.8020924036 </span> </span> </span> -1 /.055 -300
Total = 300 * <span>.8020924036 / .055 - 300
</span>Total = 300 * <span> <span> <span> 14.5834982473 </span> </span> </span> -300
Total = <span> <span> <span> 4375.0494741818 </span> </span> </span> -300
Total = <span>4075.05
</span>
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Answer:
The Two Column Proof is given below.
Step-by-step explanation:
Given:
To Prove:
∠ P ≅ ∠ N
Proof:
In Δ MPO and Δ MNO
STATEMENT REASONS
1. MP ≅ MN 1. Given
2. PO ≅ NO 2. Given
3. MO ≅ MO 3. Reflexive property
4. ΔMPO ≅ ΔMNO 4. Side-Side-Side congruence test}
5. ∠MPO ≅∠MNO 5. Corresponding parts of congruent Triangles
i.e ∠ P ≅ ∠ N ..................Proved