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3 years ago

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 ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

jeyben [28]

Sine rule

a/Sin(A) = b/Sin(B) = c/Sin(C)
b
C / |
a / _| A
B c

We know that a = 70 degrees and A = 25 foot
So 70/Sin(25) = Something
We also know we want C, and that c = 90 degrees
So 70/Sin(25) = 90/Sin(C)
Then you have to rearrange the equations. Start with Multiply all by Sin(C)
So [Sin(C)][70/Sin(25)] = 90
Then divide everything by 70/Sin(25)
So Sin(C) = 90/[70/Sin(25)]
Now you want to isolate C, so Sin-1 everthing
So C = Sin-1{90/[70/Sin(25)]}
So C = 32.91309534
To the nearest tenth, 32.9ft
Hope that helps :)

4 0

3 years ago

Read 2 more answers

The sixth-graders at Ruben's school got to choose between a field trip to a museum and a field trip to a factory. 30 sixth-grade

earnstyle [38]

60 percent!

I hope this helped!

3 0

3 years ago

in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

makkiz [27]

Answer:

$\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}$

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: $0.05$ , the associated z-value from Laplace table:

Φ( $z$ ) = α - $0.5 = 0.05 - 0.5 = -0.45$

=> $z$ = $-1.645$

Step 2: Define null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ )

$H_{0}$ : rate of flu infection $p$ = 8.3% or 8.3/100 = 0.083

$H_{1}$ : rate of flu infection $p$ < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

$K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}$

with $f$ is actual sampling percent, $p$ is rate of flu infection of $H_{0}$ , $n$ is number of samples.

The null hypothesis will be rejected if $K < z$

Step 4: Calculate the value of K and compare with $z$

$K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46$

We have $-2.46 < -1.645$

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As $H_{1}$ states)

Hope this helps!

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3 years ago

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Marizza181 [45]

Answer: So i did the math and the surface area is 756cm² and the volume is 4080cm³ (the math is simple its just a lot. So if I´m wrong then i am truly sorry) Good Luck!

Step-by-step explanation:

4 0

3 years ago

HW 7.4/7.5 help mhhhh

Hatshy [7]

Answer:

1. LI=18

2. x=10

3. Yes (Y)

4. Yes (Y)

5. x=15

6. x=18

7. x=8

8. x=6

y=6.5

Step-by-step explanation:

1. LI/JL=KH/JK

Replacing the given values:

LI/6=21/7

Dividing on the right side of the equation:

LI/6=3

Solving for LI: Multiplying both sides of the equation by 6:

6(LI/6)=6(3)

LI=18

2.TV/VS=RU/US

Replacing the given values:

x/17.5=8/14

Simplifying the fraction on the right side of the equation: Dividing numerator and denominator by 2:

x/17.5=(8/2) / (14/2)

x/17.5=4/7

Solving for x: Multiplying both sides of the equation by 17.5:

17.5(x/17.5)=17.5(4/7)=(17.5/1)(4/7)

Multiplying:

x=(17.5 x 4) / (1 x 7)

x=70/7

Dividing:

x=10

3. BC is parallel to DE if AD/DB is equal to AE/EC:

AD/DB=15/12=(15/3) / (12/3)→AD/DB=5/4

AE/EC=10/8=(10/2) / (8/2)→AE/EC=5/4

Like AD/DB=5/4=AE/EC → BC is parallel to DE

4. BC is parallel to DE if AD/DB is equal to AE/EC:

AD/DB= 2DB / DB→AD/DB=2

AE/EC=30 / (AC-AE)=30 / (45-30)=30/15→AE/EC=2

Like AD/DB=2=AE/EC → BC is parallel to DE

5. If JH is a midsegment of triangle KLM:

x=(1/2)(30)

x=15

6. If JH is a midsegment of triangle KLM:

x=2(9)

x=18

7. If JH is a midsegment of triangle KLM: x=8

8. 2x+1=x+7

Solving for x. Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:

2x+1-x=x+7-x

Subtracting:

x+1=7

Subtracting 1 both sides of the equation:

x+1-1=7-1

Subtracting:

x=6

2x+1=2(6)+1=12+1→2x+1=13

x+7=6+7→x+7=13

(3y-8)/(y+5)=(2x+1)/(x+7)

(3y-8)/(y+5)=13/13

(3y-8)/(y+5)=1

3y-8=y+5

Solving for y. Grouping the y's on the left side of the equation: Subtracting y both sides of the equation:

3y-8-y=y+5-y

Subtracting:

2y-8=5

Adding 8 both sides of the equation:

2y-8+8=5+8

Subtracting:

2y=13

Dividing both sides of the equation by 2:

2y/2=13/2

Dividing:

y=6.5

3 0

3 years ago