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Hunter-Best [27]
3 years ago
10

The Federal Reserve has set a 10% reserve ratio on all deposits.

Mathematics
2 answers:
ella [17]3 years ago
5 0

Answer: $ 81,000

Step-by-step explanation:

After ACC Spellman Company deposits its $ 100,000 into Itsa Bank, Itsa will have $ 90,000 as maximum allowable amount to loan to company B Bugle since it has to reserve 10% of the $ 100,000 or $ 10,000.

When That There Bank receives the $ 90,000, it can  loan out $ 81,000 as a maximum amount and reserve $ 9000 ( 10% of 90,000) .

NISA [10]3 years ago
5 0

Answer:

Step-by-step explanation:

10% of $100,000

10/100*$100,000

0.1*$100,000

$10,000

Reserve ratio refers to a percentage of cash deposit that must be kept by the bank.

So, $10,000 is the amount to be kept by the bank.

To find the total amount loanable to Company B Bugle, Inc.

Total bank deposit- reserve ratio

$100,000-10,000

=$90,000 is the total amount loanable to Company B Bugle, Inc.

If Company B Bugle, Inc. deposit the total loan into the bank ($90,000)

The reserve ratio is 10% of $90,000

10/100*$90,000

0.1*$90,000

$9,000(reserve ratio)

Total loanable amount is

Total deposit-reserve ratio

$90,000-$9000

=$81,000

$81,000 could be loaned out to any other bank customer.

Due to multipliers effects, the bank could loan out a total of $171,000.($90,000 to Company B Bugle, Inc. and $81,000 to another bank customer).

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A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

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Then, we need to apply the following rigid transformations:

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The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

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To learn more on rigid transformations: brainly.com/question/28004150

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we assume day and night are equally long.

and the mouse will start at night of day 1.

then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).

so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).

with a starting value of 14 (the first night).

so, we are getting an arithmetic sequence

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