Round 429.3069 to the nearest thousandth

Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8000, then how much will he be char

Thepotemich [5.8K]

Answer:

$960

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

$I=Prt$

I = interest amount

P = principal amount

r = interest rate (decimal form)

t = time

The first step is to change 3% into a decimal:

3% -> $\frac{3}{100}$ -> 0.03

Now, lets plug in the values into the equation:

$I=8,000(0.03)(4)$

$I=960$

Jameson will be charged $960 of interest after 4 years.

8 0

3 years ago

WHAT IS π/1? ................................

Naily [24]

The answer is π, any number divided by 1 is the same number it was

4 0

4 years ago

Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

4 0

3 years ago

The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the s

IRINA_888 [86]

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

5 0

3 years ago

Read 2 more answers

Use the method of completing the square to solve x2 – 8x + 7 = 0. A. x = –5 and x = 13 B. x = 1 and x = 7 C. x = 0 and x = 8 D.

Stolb23 [73]

Answer:

the answe is b (1,7)

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

x

=

7,1

5 0

3 years ago