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2 years ago

Valerie deposits $1,900 in an account that

Mathematics

1 answer:

horrorfan [7]2 years ago

5 0

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Compound Interest Rate Formula: $\displaystyle A = P(1 + \frac{r}{n})^{nt}$

A is final amount
P is principle amount
r is rate
n is compound rate
t is time (in years)

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Substitute [CIRF]: $\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}$
(Parenthesis) Divide: $\displaystyle A = 1900(1 + 0.0075)^{4(6)}$
(Parenthesis) Add: $\displaystyle A = 1900(1.0075)^{4(6)}$
(Exponents) Multiply: $\displaystyle A = 1900(1.0075)^{24}$
Exponents: $\displaystyle A = 1900(1.19641)$
Multiply: $\displaystyle A = 2273.19$

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Data Set #1

Harman [31]

Answer:

The data table is attached below.

Step-by-step explanation:

The average of a set of data is the value that is a representative of the entire data set.

The formula to compute averages is:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

Compute the average for drop 1 as follows:

$\bar x_{1}=\frac{1}{3}\times[10+11+9]=10$

Compute the average for drop 2 as follows:

$\bar x_{2}=\frac{1}{3}\times[29+31+30]=30$

Compute the average for drop 3 as follows:

$\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33$

Compute the average for drop 4 as follows:

$\bar x_{4}=\frac{1}{3}\times[102+100+98]=100$

Compute the average for drop 5 as follows:

$\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67$

The data table is attached below.

3 0

3 years ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

4 0

2 years ago

What is the equation in slope intercept form for (2,5) (3,12)

kondaur [170]

Slope formula: y2-y1/x2-x1

= 12-5/3-2

= 7/1

= 7

_____

Best Regards,

Wolfyy :)

7 0

3 years ago

Help please anyone up

saul85 [17]

Since area is length times width, it would be the factors of the equation for the area.
X2+11x+28 factors into...
Length is x+7 so...
Width is x+4

7 0

3 years ago

The monthly membership costs include a $10 basic fee plus $2 for each DVD she rents. Which equation describes v, the number of D

liubo4ka [24]

Answer:

A) v = T/2 - 5

Step-by-step explanation:

T = 10+2v

2v = T-10

v = (T-10)/2 = T/2-5

4 0

3 years ago