LOTS OF POINTS hard math though

Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

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

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

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Learn more about Algebra I: brainly.com/question/27710663

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Topic: Algebra I

5 0

2 years ago

***********BRAINLIEST IF 2 PPL ANSWER*******Thank u!!!

Elden [556K]

Problem 1

Answer: year 4

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The break-even point is when the profit is $0. You neither earn money nor lose it.

Plug in p(x) = 0 and solve for x

p(x) = x^3 - 4x^2 + 5x - 20

x^3 - 4x^2 + 5x - 20 = p(x)

x^3 - 4x^2 + 5x - 20 = 0 ... replace p(x) with 0

(x^3 - 4x^2) + (5x - 20) = 0

x^2(x - 4) + 5(x - 4) = 0

(x^2+5)(x - 4) = 0

x^2+5 = 0 or x-4 = 0

The equation x^2+5 = 0 has no real solutions; however x-4 = 0 solves to x = 4.

So plugging x = 4 into p(x) will lead to p(x) = 0. Meaning that the company breaks even at year 4.

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Problem 2

Answer: choice B) between 2.5 and 3.0; between 4.0 and 4.5

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Look at the f(x) column. Specifically we are looking for the times when the numbers change from positive to negative, or vice versa. Somewhere in between this change, y will have to equal 0 at some point (at least once). Note how in row 2 and row 3, we have f(x) = 1.1 change to f(x) = -0.8; so the change is from positive to negative.

This means f(x) = 0 for some x value between x = 2.5 and x = 3.5. Also, the same kind of logic applies for the last two rows of the table as well pointing to another root between x = 4.0 and x = 4.5 (check out the attached images)

5 0

3 years ago

Read 2 more answers

A plane begins to descend from a height of 202 meters. The plane decreases in altitude at an average rate of 1.8 meters per seco

stepladder [879]

The plane starts at 202 m.
All altitudes are in meters.
After 1 second, it is at 202 - 1.8
After 2 seconds, it is at 202 - 1.8 * 2
After 3 seconds, it is at 202 - 1.8 * 3
etc.
After x seconds, it is at 202 - 1.8 * x

202 - 1.8 * x is the same as 202 - 1.8x

Answer: F. t(x) = 202 - 1.8x

3 0

3 years ago

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L

NeTakaya

The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.

<h3>Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?</h3>

Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.

Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).

(-4,-4) (-3,-4) (-3,-2).

In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)

It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)

Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.