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galina1969 [7]
2 years ago
14

In december 1994 a man in ohio decided to deposit all of the 8 million pennies he had been saving for nearly 65 years. (his depo

sit weighed over 48,000 pounds!) with a reserve requirement of 5 percent, how did his deposit change the lending capacity of (a) his bank? $ 76,000 (b) the banking system? $
Mathematics
1 answer:
STatiana [176]2 years ago
6 0
8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
☺☺☺☺
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A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

6 0
1 year ago
Color blindness is an inherited characteristic that is more common in males than in females. If M represents male and C represen
DerKrebs [107]

Answer:

The probability that a randomly selected person is not color blind is 0.958

Step-by-step explanation:

Given,

C represents red-green color blindness,

Also, the probability that a randomly selected person is color blind,

P(C) = 0.042,

Thus, probability that a randomly selected person is not color blind,

P(C') = 1 - P(C) = 1 - 0.042 = 0.958

4 0
2 years ago
The following table shows the number of hours a cleaning company spends cleaning apartments.
mart [117]
First, plot the points in a graph to see the general trend. The independent variable is time. I used MS Excel to plot the points in a graph, as shown in the attached picture.

1. The relationship is linear as shown in the general trend.
2. The relationship presents that as time increases, the number of apartments cleaned also increases. The two variables are directly proportional.
3. The rate of change represents the slope of the line. Choose any two points and find the slope. 

m = (6-3)/(2-1) = 3 apartments cleaned/hour

7 0
2 years ago
Miranda bought a square frame that has an area of 30 square inches what is the approximate side lenght of the frame
Alexxandr [17]

Area of a square equals side squared

(A = s²)

30 = s²

√30 = s

You can use a calculator to find out that √30 ≈ 5.48

or you can use estimation (√25 < √30 < √36) which means that √30 is between 5 and 6.

3 0
2 years ago
Read 2 more answers
If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

6 0
2 years ago
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