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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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aliya0001 [1]
Ok, so 11:9
11-9 = 2
which means that 124= 2:1
124/2 = 62
so 62:0
now 11 x 62= 682
9 x 62= 558

so the ratio is 682:558
now 682 + 558 = 1,240
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8 0
3 years ago
The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
ycow [4]

The length of the longer base is 41 ft.

<u><em>Explanation</em></u>

Lets assume, length of one base is x ft.

As, another base is 19 less than five times the length of this base, so the length of another base = (5x- 19) ft.

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, A=\frac{1}{2} (a+b)*h , where a, b = Two bases of trapezoid and h = height of the trapezoid.

Given in the question: A= 477 and h= 18

We have also two bases as: a= x and b= 5x-19

So, according to the above formula...

A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12

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That means, the length of the longer base is 41 ft.



8 0
3 years ago
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Mademuasel [1]

Answer:

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Step-by-step explanation:

6 1/3 - 4 1/9

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vivado [14]

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Mary has a stack of cards, 8 purple, 6 orange, 5 red and 7 black. If she has to choose a card, how many possible outcomes are th
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Step-by-step explanation:

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7 0
3 years ago
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