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3 years ago

Find the slope: y=23x+10

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

the slope is 23

Step-by-step explanation:

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Given a required reserve ratio of 10 percent for all banks, total bank reserves of $400 billion could support maximum deposits o

serious [3.7K]

Answer:

The maximum deposit is $4,000 billion.

Step-by-step explanation:

Consider the provided information.

It is given that the required reserve ratio of 10 percent for all banks.

It is given that total bank reserves of $400 billion.

Let the maximum deposit is x.

Therefore, 10% of x = $400 billion

$\frac{10}{100}\times x=\$400\text{ billion}$

$x=\frac{100}{10}\times \$400\text{ billion}$

$x=10\times \$400\text{ billion}$

$x=\$4000\text{ billion}$

Hence, the maximum deposit is $4,000 billion.

8 0

3 years ago

Greg drew a scale drawing of a house. The hall closet is 2 inches wide in the drawing. The actual closet is 6 feet wide. What is

Vlad [161]

The drawing's scale factor is
Actual Dimensions:Drawing Measurements
= 36:1

4 0

3 years ago

Find integra of xlnxdx

Mademuasel [1]

Answer:

$\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}$

Step-by-step explanation:

Fundamental Theorem of Calculus

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Increase the power by 1, then divide by the new power.

Given indefinite integral:

$\displaystyle \int x \ln x \:\: \text{d}x$

To integrate the given integral, use Integration by Parts:

$\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}$

$\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}$

$\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2$

Therefore:

$\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}$

Learn more about integration here:

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5 0

2 years ago

Hello can someone please help me with this.

Zolol [24]

Answer:

if there is equivalent ratio cookies should be 48

3 0

3 years ago

Ms. Wall will roll a single number cubes. What is the probability that she will roll an even number?

Arturiano [62]

Well single number, meaning from 1 - 9. She has a higher chance of getting an odd number for sure, as there are more odd numbers on the dice :) So, the ratio is 4:5 and fraction: 4/5. %44.444 is your answer :)

Thank you,
Darian D.

4 0

3 years ago