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Sergeeva-Olga [200]
3 years ago
12

A bank offers a saving account with 4.5% compounded quarterley. Find the APY the bank's savings account offers (round your answe

r to the three decimal places).

Mathematics
2 answers:
lozanna [386]3 years ago
7 0

Hope this helped you!


..............................................

Amiraneli [1.4K]3 years ago
5 0

Answer:

4.577%

Step-by-step explanation:

Here we have to use formula APY = ( 1 + \frac{r}{n} )^n -1

r= stated annual interest rate

n = number of times compounded

Here r = 4.5% = 0.045

n = 4 because it is calculated quarterly.

Now plug in r =0.045 and b = 4 in the above formula, we get

APY = (1 + 0.045÷4)^4 - 1

= (1 + 0.01125)^4 - 1

= 1.01125^4 - 1

= 1.045765 - 1

= 0.045765

To find the percentage multiply by 100, we get

= 4.577%

Thank you.


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Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error.
tamaranim1 [39]

Answer:

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Step-by-step explanation:

Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.

2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)

Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)

Step 2: -40 - 75 + 100 +

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Step 3: -115 + 300

Step 4: 185

Manuel made his first error in step 2 by combining two different terms into one as he has done

(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)

Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)

Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405

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