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Andreyy89
2 years ago
13

Two angles are complentary if the sum of their measures is 90 °. Find two complentary angles such that one of the angles is 165°

less than 4 times the other angle
Mathematics
1 answer:
Mashcka [7]2 years ago
4 0

Answer:

51° and 39°

Step-by-step explanation:

x + 4x - 165 = 90

5x = 90 + 165

5x = 255

x = 255 / 5

x = 51

4 x 51 = 204

204 - 165 = 39

2 angles are 51 and 39

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An initial deposit of $50 is made into an account that had a 5% interest rate compounded annually. Which expression
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Answer:

The Amount of money in the account after t years $50 (1.05)^{t}  

Step-by-step explanation:

Given as :

The principal deposited into account = $50

The rate of interest = 5% compounded annually

The time period for deposit = t years

Let the amount into account after t years = $A

now, According to question

<u>From compound Interest method</u>

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = $50 × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $50 × (1+\dfrac{\textrm 5}{100})^{\textrm t}

Or, A = $50 × (1.05)^{t}

or, A = $50 (1.05)^{t}

So, The amount in account after t years = A =  $50 (1.05)^{t}

Hence, The Amount of money in the account after t years $50 (1.05)^{t}  . Answer

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