If you want to save $4500 to go to the Super Bowl, how much will you need to invest in an account now with 6.25% APR, compounding continuously, in order to reach your goal in 4 years? (Round to the nearest dollar)

Answer:

6×3×4= 72 unit cubes

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Answer: 2nd, 4th, and 5th options

Step-by-step explanation:

The x-intercept is where the graph meets the x axis line and is also known as being the roots/zeros of an expression. hope this helps

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]

[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]

Answer:

∠ B = 126°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent , then

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.

To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.

For the left inverse, we have

[tex]LA=I[/tex]

[tex](LA)A^\top = IA^\top[/tex]

[tex]L\left(AA^\top\right) = A^\top[/tex]

[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]

We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.

[tex]AR=I[/tex]

[tex]A^\top(AR)=A^\top I[/tex]

[tex]\left(A^\top A\right)R = A^\top[/tex]

[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]

Answer: EACH FRIEND GETS 32 DOLLARS

Step-by-step explanation:

DIVIDE 96 BY 3

Answer:

$32

Step-by-step explanation:

Divide 96 to 3

96 ÷ 3

= $32

Answer:

55 degrees

Step-by-step explanation:

Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.

So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.

Answer:

15 liters = 975

25 liters = 1625

Step-by-step explanation:

10 liters = 650

1 liter = 650/10 = 65

15 liters = 65 x 15 = 975

25 liters = 15 liters + 10 liters = 975 + 650 = 1625

-Chetan K

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

where a is the first term

n is the number of terms

d is the common difference

From the question

To find the common difference subtract the previous term from the next term

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]

Answer:

2378.88

Step-by-step explanation:

12/100 x 2124

=254.88

2124+254.88=answer

Answer: Find the formula and there you go

Step-by-step explanation: Each 4 papers = 3 minutes keep adding it until I get near twenty one and don't go over

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

Answer: D. 4x2-9x-5=0

Step-by-step explanation:

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

Read more about dilation at:

https://brainly.com/question/13176891

Answer:

x = -2, y = -6

Step-by-step explanation:

(8x - 3y) + (-8x - 5y) = 2 + 46

-8y = 48

y = -6

8x - 3y = 2

8x - 3(6) = 2

8x + 18 = 2

8x = -16

x = -2

Answer:

[tex]\boxed { \sf (-2, -6) }}[/tex]

Step-by-step explanation:

We are asked to find the solution of the system of equations.

[tex]8x-3y=2\\-8x-5y=46[/tex]

When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.

The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.

[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]

8x and -8x cancel, then add.

[tex](-3y=2)\\+ (-5y=46)[/tex]

___________

[tex]-8y= 48[/tex]

We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.

[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]

Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.

I chose the first equation.

[tex]8x-3y=2[/tex]

[tex]8x-3(-6)=2[/tex]

[tex]8x+18=2[/tex]

Subtract 18 from both sides to isolate 8x.

[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]

Divide both sides by 8.

[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]

Coordinate points are written as (x,y) so our solution is (-2, -6)

Answer:

The slope of the line is [tex]\frac{9}{2}[/tex] (nine over two)

Step-by-step explanation

Have a nice day

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.

Answer:

you will have $133920 intrest monthly and $151920 in the bank

Step-by-step explanation:

Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.

Answer:

1.37 miles

Step-by-step explanation:

First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.

Answer:

1. Less Than

2. Greater Than

Step-by-step explanation:

You know that 1/2 is equal to 4.5/9

So, 2/9 would be less than 1/2.

You know that 1/2 is equal to 5/10

So, 9/10 is greater than 1/2.

Compare each fraction by setting each fraction to the same denominator.

Answer:

One Solution

x = -9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

Learn more about slope here:

https://brainly.com/question/3605446

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Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

Answer:

6,0 10,4

Step-by-step explanation:

find the y Axis and then the x Axis

Answer:

search on chrome 4 mor answer mwa mwa

Step-by-step explanation:

Answer:

she would get 11 dollars back

Step-by-step explanation:

look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go