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Answers

Answer 1

The value of P is $2,000.

The value of r is 2.8%

The value of n is 4.

The amount of money that Allision will have in 8 years is  $2,500.19.

How much will he have in 8 years?

When the account is compounded quarterly, it means that the amount invested and the interest that has already been earned would increase in value four times in a year. A compound growth rate can be modelled as an exponential equation.

The equation that can be used to determine the future value with quarterly compounding is:

S(t) = P( 1 + r /n)^(n x t)

Where:

P = amount deposited r = interest rate n = number of compounding t = number of years

S(t) = 2,000 x ( 1 + 0.028 / 4)^(4 x 8)

S(t) = 2,000 x 1.007^32 = $2,500.19

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Related Questions

Friday: Nabil had $80.50 on a gift card before buying four journals at a bookstore. The bookstore charges 50¢ to use the card. He had $44.00 left on the gift card after buying the journals. If each journal cost the same amount, what was the price of each journal?​

Answers

Answer:

$9.00 a journal.

Step-by-step explanation:

First off, you can start by subtracting $0.50 from $80.50 because it costs $0.50 to use the card.

You’re left with a new value of $80.00. Since Nabil had $44.00 left over on his card, you can subtract $44.00 from $80.00 to figure out how much he spent.

$80.00

-$44.00

————

$36.00


Since Nabil bought four journals, and they are all equal in cost, you can divide $36.00 by 4 (36/4) and get $9.00.

How do I figure the total of a 4:3 ratio?

Answers

Step-by-step explanation:

If you take the 4:3 aspect ratio and divide 4 by 3, the result is 1.33. Therefore, you could alternately describe the 4:3 aspect ratio as 1.33:1, meaning that for every 1.33 units in width, there is 1 unit in height. Again, the same applies for the 16:9.

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Identify the change in the parent function that will produce the related function shown as a dashed line. f(x) = x

Answers

The parent function gets translated 2 units up (hence there will be an additional bias term of 2), and to the right by 3 units (additional

Wayne rents a car from a company that charges $35 per day plus $0.10 per mile he drives. What is a linear equation for the monthly charge, C, dollars, in terms of the number of miles driven, n?

Answers

The linear equation for the monthly charge C dollars , in terms of the number of miles driven(n) is C(n) = 35 + 0.10×n  .

In the question ,

it is given that ,

the fixed rent for a car is = $35 .

the per mile charge for the car is = $0.10 miles

let the number of miles driven is = n miles

the function C that represents the linear equation for the monthly charge C dollars , in terms of the number of miles driven(n) is given by

C(n) = fixed charge + (per mile charge)×(number of miles)

Substituting the values , we get

C(n) = 35 + 0.10×n

Therefore , The linear equation for the monthly charge C dollars , in terms of the number of miles driven(n) is C(n) = 35 + 0.10×n  .

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Answer:
id say, C=0.10=35

Step-by-step explanation:

not really sure, but I tried!

A rectangular wall is √240 ft by
√50 ft. You need to paint the wall twice to
cover the area with two coats of paint. If
each can of paint can cover 60 square feet,
how many cans of paint will you need?

Answers

Answer:

Step-by-step explanation: √240 = 15.49….    √50 = 7.07…


15.5 x 7.07 = 109.58 rounded to 110. Therefore the area is 110 feet so at least 2 can is needed to fill up the wall. But if the problem is being precise it’s 1 can and 5/6 of a can.

2 cans of paint will be needed to cover 110 square feet area.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

A rectangular wall is √240 ft by √50 ft.

Need to paint the wall twice to cover the area with two coats of paint.

Area of wall=Length×Width

=√240×√50

=√12000

=109.5=110

Given that each can of paint can cover 60 square feet,

110/60=1.83

=2

Hence, 2 cans of paint will be needed to cover 110 square feet area.

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For f(x)=x+4 and g(x)=3x+2, find the following functions.

Someone please explain how to solve this

Answers

The values of the following functions are:

a. (f ºg)(x) = x+2

b.  (g º f)(x) = 3x + 14

c.  (f º g)(-1) = 3

d.  (g º f)(-1) = 11

Given:

f(x) = x+4 and

g(x) = 3x+2

we are asked to determine the following functions:

a.  (f º g)(x)

⇒ f(g(x))

⇒ f(3x+2)

⇒  (f º g)(x) = (3x+2)+4

= 3x+6

divide by 3

= x+2

b.  (g º f)(x)

⇒ g(f(x))

⇒ g(x+4)

⇒  (g º f)(x) = 3(x+4)+2

= 3x+12+2

= 3x+14

c.  (f º g)(-1)

⇒ f(g(-1))

⇒ f(3(-1)+2)

⇒ f(-3+2)

⇒ f(-1)

⇒  (f º g)(-1) = -1+4

= 3

d.  (g º f)(-1)

⇒ g(f(-1))

⇒ g(-1+4)

⇒ g(3)

⇒  (g º f)(-1) = 3(3)+2

= 11

Hence we get the required answer.

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Let the vector v have an initial point at (4, 8) and a terminal point at
(-2, 3). Plot the vector v and afterwards follow the guided steps to analyze
the vector.

Answers

The vector having a magnitude √61 and direction 140.2° has been shown in the figure.

Given,

Let the vector v have an initial point at (4, 8) and a terminal point at

(-2, 3).

we are asked to  Plot the vector v .

Given that the initial point of the vector is (4,8) and the termination point of the vector is (-2,3).

So, the tail of the vector is at point (4,8) and the head of the vector is at (-2,3).

The vector , v, has been shown.

I v I = √(4-(-2))²+(8-3)²

= √(4+2)²+(8-3)²

= √(6)²+(5)²

= √36+25

= √61

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.

θ =  180° tan⁻¹ I 3-8/-2-4I

θ = 180° tan⁻¹ (5/6)

θ = 180° - tan⁻¹(5/6)

θ = 180° - 39.80°

θ = 140.2°

Hence, the required vector having a magnitude √61  and direction  140.2° has been shown in the figure.

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Write an equation for the trend line shown on the scatter plot.

Answers

Answer:

y = 5x + 15

Step-by-step explanation:

You can pick any two points on the graph that intersect the trend line. For instance (5,40) and (3,30)

Formula for Slope:

[tex]y = \frac{y_2 - y_1}{x_2 - x_1} = \frac{40 - 30}{5 - 3} = \frac{10}{2} = 5[/tex]

y intercept:

[tex]y = 15[/tex]

Equation of a line:

[tex]y = mx + b\\m = slope \\b = intercept \\\\y = 5x + 15[/tex]

** also be cautious of the different scaling of the x and y axis.

A standard deck of playing cards contains 52 total cards, 13 of which are "spades".

Suppose you and a friend are playing a game. You can choose any two cards from the deck without looking. If the two cards you choose are both spades, you win!

You pull out one card, and then another, without putting the first one back.

What is the approximate probability that you win? Are your two choices independent or dependent events?



6%, Independent



6%, Dependent

11%, independent

11%, Dependent

Answers

The probability that you win is 6%, and the two choices are dependent events option (B) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

A standard deck of playing cards contains 52 total cards, 13 of which are "spades".

The probability of the first draw:

Probability = favorable outcomes/total outcomes

First draw: 1/4

For the second draw:

Second draw = 12/51

The probability that you win = (1/4)(12/51) = 3/51

In percent:

= (3/51)x100

= 5.88 = 6%

Thus, the probability that you win is 6%, and the two choices are dependent on events option (B) is correct.

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2. Choose the correct answer to 2,412 ÷ 25. 96 96 R12 97 95 R37

Answers

Answer: 96 R12

Step-by-step explanation:

The sum of $5400 was borrowed from a bank
at the rate of 10% per annum for 3 years. How much would the simple interest payable would be?

(A) $1800
(B) $540
(C) $1620
(D) $486

Answers

The simple interest on $5400 at a rate of 10% per annum for 3 years is $ 1620

Simple interest:  

The interest on a loan at a fixed rate per annum. The formula used for simple interest is given by

Simple interest (I) = ptr

Where p = principal amount

t = time period

r = rate of interest per year.

Here we have

The sum of $5400 was borrowed from a bank at a rate of 10% per annum for 3 years

Find the simple interest that can be payable

From above observations

Principal amount, P = $5400

Rate of interest = 10% = 10/100 = 0.1

Time period, t = 3 years

The simple interest that can be payable = $5400(3)(0.1) = $ 1620

Therefore,

The simple interest on $5400 at a rate of 10% per annum for 3 years is $ 1620

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Can anyone help me with number 2?

Answers

yes because a function must have inputs with only one output. as long as 10.3 doesn’t have more than 1 output then it can be a function

30x43x54545454545455454x82409284x098908098x8908089808x56678909876543-32131273138x1000 =

Answers

The answer to this math equation is simply 30

Answer:

7,036,363,636,363,635,660,000

Step-by-step explanation:

this one hert my head

Select all symmetries that apply

Answers

1.all, 2.y axis, 3. none

Determine whether the equation 2+y=x+4 represents a linear or nonlinear function.

Answers

Answer:

linear

Step-by-step explanation:

Because if you graph it. It creates a line which makes it a linear

this equation represents a linear equation

Given that -5 is a zero of the polynomial P(x) = x³ + 3x²-12x-10, find the other zeros.

Answers

Answer:

Below

Step-by-step explanation:

If -5 is one of the roots then that means  (x+5) is one of the factors

divide (x+5) into x^3 + 3x^2 -12x -10

to get   x^2-2x-2   which you can easily  (using Quadratic Formula) find the roots       1 + sqrt 3   and        1 -sqrt 3

('roots'   and 'zeroes'   are the same thing)

           

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Answers

The point only can be on the unit circle and on the second quadrant if:

x = -√55/8

How to get the value of the x-coordinate?

We know that we have a point of the form:

P = (x, y)

And the value of y is:

y = 3/8

Then our point is:

P = (x, 3/8)

And it is on the unit circle, then the values of x and y are solutions of:

x^2 + y^2 = 1

x^2 + (3/8)^2 = 1

x^2 = 1 - (3/8)^2 = 1 - 9/64 =

x^2 =  64/64 - 9/64

x^2 = 55/64

x = ±√(55/64) = ±√55/8

And P is on the second quadrant, then we take the negative option:

x = -√55/8

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Two humitos cout $1500. Complete a table to show the con for 3, 7, and 13 borrins at fest rate
Next, find the cost for a single burrito in each case. What do you notice about the values in this
be

Answers

Answer:

I would say the answer is 1500/3/7/13

Step-by-step explanation:

con for 3,7,13 find it divife it by 1500 cost of burrito

Which is the best estimate for 2 2/3 × 3 1/4

Answers

i would say something close to 8 1/4

Which of the following mixed numbers is equal to the improper fraction 29/4

A: 7 1/4

B: 7 1/2

C: 7 3/4

D: 7

Answers

Answer: A

Step-by-step explanation:                                                                                                                        

An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
What is the tangential speed of the ball? Answer in units of m/s.

part 2
What is its centripetal acceleration? Answer in units of m/s2.



this is physics

Answers

The tangential speed of the ball is 1.5267

The centripetal acceleration is 2.5897 m/s²

How to solve for the tangential speed

Mass of the ball is m = 7.90 kg

ball moves in a circle having radius r = 0.9 m

angular speed is ω = 0.27 rev /s

given that 1 revolution = 6.283 rad / sec

0.27 rev / sec = ?

ω = 1.696 rad / sec

a. The tangential speed Velocity = rω

w =  1.696

r = 0.9

= 1.696  * 0.9 m

= 1.5267 m / s

b ) centripetal acceleration a = v² / r

= (1.5267 m/s)^2 / 0.9 m

= 2.3308 / 0.9

= 2.5897 m/s²

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Consider the following polynomial function.
f(x) = (x+3)(x+1)²(x-1)
Answer the questions regarding the graph of f.
Then, use this information to graph the function.
(a) Choose the end behavior of the graph of f.
Choose One
(b) List each real zero of faccording to the behavior of the graph at the X-axis near that
zero. If there is more than one answer, separate them with commas. If there is no
answer, click on "None".
Zero(s) where the graph crosses the X-axis:
Zero(s) where the graph touches, but
does not cross the X-axis:
(c) Find the y-intercept of the graph of f:
(d) Graph f(x) = (x+3)(x+1)²(x-1) by doing the following.
Plot all points where the graph of f intersects the x-axis or y-axis.
For each point on the X-axis, select the correct behavior.
Click on the graph icon.

Answers

The end points behavior of the function:

(a) If x goes to positive infinity then the function goes to positive infinity. If x goes to negative infinity then the function goes to negative infinity.

(b) The zeros of the function f(x) are -3, -1, -1, and 1.

(c) The y-intercept is at (0,-3).

What is the endpoint behaviors of a polynomial?

A polynomial function's final behaviour is how its graph behaves as x gets closer to positive or negative infinity. The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

What are zeros of a polynomial?

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (-1). The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

Given function is f(x) = (x+3)(x+1)^2(x-1).

If x = ∞, then f(x) = ∞. The one endpoint of the function will go positive infinity.

If x =- ∞, then f(x) = -∞. The one endpoint of the function will go negative infinity.

To find the zeros of the polynomial, equate f(x) with zero.

(x+3)(x+1)^2(x-1) = 0

Either, x + 3 =0 → x = -3

or, (x+1)^2 =0 → x = -1

or, x-1 = 0 → x = 1

The zeros of the function are -3, -1, and 1.

To find y-intercept, put x=0 in the given function:

f(0) = (0+3)(0+1)^2(0-1)

→ f(0) = -3

The y-intercept is at (0,-3).

The x-intercepts of the function are zeros of the function.

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6 to the power of -3 as a simplified fraction or integer​

Answers

Answer:

Step-by-step explanation:

1. Make Words into Math

6 to the power of -3 =

6^-3=

-6*-6*-6=

0.00462962962

Answer:0.00462962962

Write the prime factorization for each of the following numbers using exponents if possible.

Answers

Prime factorization of 18: 2*3*3= 2X3^2

24: 2*2*2*3 =2^3X3

Subtract. (−4x − 1) – (6x – 5)

Answers

Answer:

-10x+4

Step-by-step explanation:

distribute the minus

-4x-1-6x+5

-10x+4

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What are m and b in the linear equation y = 18x + 25?

Answers

Answer: m=18 and b=25

Step-by-step explanation:

y = mx + b ==> standard slope intercept equation

y = 18x + 25

Notice any similarities?

y = 18x + 25

m=18 and b=25

m and b in the linear equation y = 18x + 25 is m = 18, b = 25.

Solving steps :
y = 18x + 25

Identify the slope.
Since the equation in written in slope-intercept form, y = mx + b, identify the slope of the line as the coefficient next to the variable x.
y = 18x + 25, m = 18

Identify the y-intercept
Identify the y-intercept of the line as the constant term.
y = 18x + 25, m = 18, b = 25

The slope of the line is m = 18 and the y-intercept is b = 25
m = 18, b = 25

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

Answer:

Unless you wrote the wrong expressions, non of your choice answers are correct!

Step-by-step explanation:

Solve for x:

2 (x - 7) = 36

Divide both sides of (x - 7)×2 = 36 by 2:

(2 (x - 7))/2 = 36/2

2/2 = 1:

x - 7 = 36/2

The gcd of 36 and 2 is 2, so 36/2 = (2×18)/(2×1) = 2/2×18 = 18:

x - 7 = 18

Add 7 to both sides:

x + (7 - 7) = 7 + 18

7 - 7 = 0:

x = 18 + 7

18 + 7 = 25:

Answer: x = 25

Which is the solution to the system of equations?

y = 1/8x −1
−5x + 4y = −13

A. (0,−1)
B. (8,0)
C. (1,−7/8)
D. (2,−3/4)

Answers

The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

We are given:

y = 1/8 x − 1                 ..............equation i.

− 5x + 4y = − 13          ..............equation ii.

We will use the substitution method to solve the given equation.

substitute the value of y from equation i in equation ii, and we will get;

− 5x + 4(1/8 x − 1) = − 13

− 5x + 1/2 x − 4 = − 13

(-10 + 1) / 2 x = -13 + 4

-9/2 x = -9

x = -9 * 2 / -9

x = 2

Put the value of x in equation i, we will get;

y = 1/8 *2 − 1

y = 1/4 - 1

y = 1 - 4 / 4

y = -3 / 4

So, the value of x = 2 and the value of y = -3 / 4.

Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

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Rewrite (55•44)•33 using the
Associative Law of Multiplication.

Answers

Rewriting the given term (55.44).33 using the Associative Law of Multiplication, we have 55.(44.33). Therefore, 1st option is correct.

The given terms are written as -

(55.44).33

We have to rewrite the given term using the Associative Law of Multiplication.

According to the Associative Law of Multiplication, the terms or factors can be associated in any expected ways, i.e.,

a(bc) = (ab)c

So, our given term in the question (55.44).33 can be rewritten according to the Associative Law of Multiplication as -

(55.44).33 = 55.(44.33)

Thus, rewriting the given term (55.44).33 using the Associative Law of Multiplication gives us 55.(44.33). Therefore, 1st option is correct.

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If y=-2x^3+4x+9, what is y when x=3?

Answers

Answer:

39

Step-by-step explanation:

2*3^3+4*3+9

= 39

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