Mathematics: What is m ZABC? c=67 d=60 mABC = 60° mABC = 67 ° mABC = 120° mABC = 127°

What is m ZABC? c=67 d=60 mABC = 60° mABC = 67 ° mABC

Brittany0512

13.02.2022

m∠ABC = 127°

Step-by-step explanation:

From triangle BCD:

m∠BCD + m∠CDB + m∠DBC = 180°

67° + 60° + m∠DBC = 180°

m∠DBC = 180° - 127°

An angle ABD is straight angle, so:

m∠ABC + m∠DBC = 180°

m∠ABC + 180° - 127° = 180°

m∠ABC = 127°

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dios01

08.08.2021

The Principal is $877.19 And Compound Interest is $372.81

Step-by-step explanation:

Given as :

Amount after investment = $1250

The time period of investment = 6 years

The nominal rate = 6% compounded semiannually

Let the principal = P

From compounded method

Amount = Principal × $(1 + \frac{Rate}{2\times 100})^{2\times Time}$

Or, $1250 = P × $(1 + \frac{6}{2\times 100})^{2\times 6}$

Or, $1250 = P × $(1.03)^{12}$

Or, $1250 = P × 1.425

∴ P = $\frac{1250}{1.425}$

I.e P = $877.19

So , Principal = $877.19

Now, Compound Interest = Amount - Principal

= $1250 - $877.19

Or, CI = $372.81

Hence The Principal is $877.19 And Compound Interest is $372.81 Answer

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