Ken has an investment account which compounds interest continuously at a rate of 3.4%. After 4 years, he has $4400 in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.

Answer:

The central angle of the sector is 0.5 radian

Step-by-step explanation:

given;

radius of the circle, r = 80 mi

area of the sector, A = 1600 mi²

Area of sector is given by;

A = ¹/₂r²θ

where;

θ is the central angle (in radians) of the sector

[tex]\theta = \frac{2A}{r^2}\\\\\theta = \frac{2*1600}{80^2}\\\\ \theta = 0.5 \ radian[/tex]

Therefore, the central angle of the sector is 0.5 radian

The central angle (in radians) of the sector is 28.66 degrees

The formula for calculating the area of a sector is expressed as:

[tex]A = \theta/360 \times \pi r^2[/tex]

Given the following parameters

radius r = 80mi

Area of sector A = 1600mi²

Substitute the given parameters into the formula

1600 = Ф/360 * (3.14)(80)²

1600 * 360 = 20,096Ф

Ф = 576000/20,096

Ф =28.66 degrees

Hence the central angle (in radians) of the sector is 28.66 degrees

Learn more here: https://brainly.com/question/12792310

Answer:

The value of x is 5

The length of YZ is 5 units

Step-by-step explanation:

If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment

Let us use this fact to solve the question

∵ Point Y is between points X and Z

→ By using the fact above

∴ XY + YZ = XZ

∵ XY = 4x and XZ = x

∵ XZ = 25

→ Substitute then in the equation above

∴ 4x + x = 25

→ Add the like terms in the left side

∴ 5x = 25

→ Divide both sides by 5 to find x

∵ [tex]\frac{5x}{5}[/tex] = [tex]\frac{25}{5}[/tex]

∴ x = 5

∴ The value of x is 5

∵ YZ = x

∵ x = 5

∴ YZ = 5

∴ The length of YZ is 5 units

Answer:

I think the answer is -40

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

so we are going to first subtract by both sides,

x=80       y=60

  -20           -20

------------------------

x=60     y=40

then again,

x= 60 y=40

  - 20    -20

---------------------

x=40 y=20

and again,

x=40 y=20

 -20    -20

-----------------

x=20 y=0

then lastly again,

x=20 y=0

 -20   -20

------------------

x=0   y=-20

ta da, hopefully this is helpful

Answer:

9 (5) 2 - 2 - 5 = 83

Answer:

3x^2

................

Answer:

F. t = 6

Step-by-step explanation

5t - 3 = 3t + 9

add 3t to both sides

2t - 3 = 9

add 3 to both sides

2t = 12

divide both sides by 2

t = 6

Answer:

c

Step-by-step explanation:

Answer:

The total cost would be $9.45

Step-by-step explanation:

Answer:

[tex]\displaystyle\text{Slope: } -\frac{4}{3}[/tex]

Point (4,1)

Step-by-step explanation:

The Equation of the Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The given line is:

[tex]\displaystyle y-1=-\frac{4}{3}(x-4)[/tex]

If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:

Slope:

[tex]\mathbf{\displaystyle -\frac{4}{3}}[/tex]

Point (4,1)

Answer:

Here ya go

Step-by-step explanation:

Examples: 1+2, 1/3+1/4, 2^3 * 2^2

(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)

y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)

Answer:

30*1 = 30 - 1st

30*2 = 60 - 2nd

30*3 = 90 - 3rd

30*4 = 120 - 4th

30*5 = 150 - 5th

Above are the first 5 multiples of 30.

Answer:

30,60,90,120,and 150. I hope this helps:)

Step-by-step explanation:

Answer:

1,009,479

Step-by-step explanation:

dude there 8a some thing called as a CALCULATOR

Answer:

vjbsvjbavljjvldbsef

Step-by-step explanation:

Answer:

y=mx+b is slope-intercept form

Ax+By=C is standard form.

IN y=mx+b, m represents the slope and B represents the y intercept.

To switch from standard form to slope-intercept form all we need to do is get y alone. thats it. By folowing these steps:

-6x+5y=-30

-6x+6x+5y=-30+6x - this cancels the x on the left side of the equation bringing us one step closer to getting y alone

5y=-30+6x

5y / 5=(-30+6x) / 5 -this last step leaves y alone and brings us to slope intercept form.

y=-6+30x

y=30x-6 - i switched the 30x and 6 because y=mx+b not y=b+mx

y=30x-6

SInce m represents the slope and b represents the y itnercept, 30 is the slope and -6 is the y intercept

30=m(slope)

-6=b(y-intercept)

Btw because the slope is 30 it means the line with point like so: / since it has a positive slope.

Hope this helps!

Step-by-step explanation:

Answer:

the answer to this question is 4/3

Answer:

C 4/3

Step-by-step explanation:

you're welcome <3

Answer:

420 ayeee

Step-by-step explanation:

Answer:

I meeeaaan, both are pretty good numbers ;P

Step-by-step explanation:

Answer: $12.87

Step-by-step explanation:

$11 x .17 = $1.87

$11 + $1.87 = $12.87

Answer:

44

....................

Answer:

0.0825

Step-by-step explanation:

1/4=0.25

1/3=0.33

Answer:

Jordan will have $ 910.00 after 3 years

Step-by-step explanation

Answer: it is 65 % 39/60=13/20

Step-by-step explanation: because the kids are 21/60 and the adult are 39/60

Answer:hart

Step-by-step explanation:

Answer:

Ithink this would be 12/3

Step-by-step explanation:

12 blocks in total grouped into 3 groups.

The division problem shown here is 12 columns divided into a group of  3.

Using models, or pictures, can help to visualize and solve math problems. Models can include number blocks, in which a small square equals 1, a long rectangle equals 10, and a large square equals 100.

Given here are 12 columns arranged in 3 square boxes

thus the picture problem must be arranging 12 columns using 3 groups

therefore, 12÷3 = 4 columns

Hence, the division problem is arranging 12 groups in 3 groups of 4 columns in each group.

Learn more about a picture models here:

https://brainly.com/question/28394013

#SPJ2