Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $1,830?

Answer:

38 / 8 is 4.75

Step-by-step explanation:

Um I tried putting a photo of my work but it wouldn't let me sorry ;-;

Answer:

1. 70.84

2. 144.75

3. 147.89

4.295.89

Step-by-step explanation:

3 pieces because well I know

Answer:

[tex]Width = 20\ in[/tex]

[tex]Area = 400\ in^2[/tex]

Step-by-step explanation:

Given

See attachment for kite dimension

Required

Determine the width and the area

From the attachment, the height of the kite is:

[tex]Height = 31\ in + 9\ in[/tex]

[tex]Height = 40\ in[/tex]

The width which is half the height is:

[tex]Width = \frac{1}{2} * Height[/tex]

[tex]Width = \frac{1}{2} * 40\ in[/tex]

[tex]Width = 20\ in[/tex]

The area is:

[tex]Area = \frac{Height * Width}{2}[/tex]

[tex]Area = \frac{40\ in * 20\ in}{2}[/tex]

[tex]Area = 40\ in * 10\ in[/tex]

[tex]Area = 400\ in^2[/tex]

Answer:

12 nickels and 4 dimes

Step-by-step explanation:

5 x 12 = 60 cents  

10 x 4 = 40 cents

             _______

             100 = 1 dollar

Answer:

if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.

The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.

If the value of a stock increases by 8% each year, then, that is not equal to the value of a stock increases 80% each decade.

The degree to which a value increases expressed in percent form is known as percentage increase.

Given that, The value of a stock increases by 8% each year.

a) If it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth, the incasement in percentage is an exponential increase not a linear increase, so we can't say that, the value of the stock increases 80% each decade

b) Since,  (108%)¹⁰ > 80%

Hence, the increase after 10 years is (108%)¹⁰, will be bigger than 80%.

Hence, If the value of a stock increases by 8% each year then, that is not equal to the value of a stock increases 80% each decade

For more references on percentage increase, click;

https://brainly.com/question/27992848

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Answer:

I'm going to also give you how to get the answer... not just the answer.. you will need to know this for a test :/  so learn it  :P

Step-by-step explanation:

Sin(30)=12

to remember what Sin and Cos at those speacial angles in degrees are.. just use this Sin(degrees)

Sin(0) = 0/2         =0

Sin(30)= [tex]\sqrt{1}[/tex]/2         = 1/2

Sing(45) = [tex]\sqrt{2}[/tex]/2    = [tex]\sqrt{2}[/tex]/2

Sin(60)=[tex]\sqrt{3}[/tex]/2   = [tex]\sqrt{3}[/tex]/2

Sin(90)=[tex]\sqrt{4}[/tex]/2    = 1

Cos is exactly the same but counts backwards from 90°

Cos(90) = 0/2         =0

Cos(60) =  [tex]\sqrt{1}[/tex]/2         = 1/2

Cos(45) = [tex]\sqrt{2}[/tex]/2    = [tex]\sqrt{2}[/tex]/2

Cos(30) = [tex]\sqrt{3}[/tex]/2   = [tex]\sqrt{3}[/tex]/2

Cos(0) =[tex]\sqrt{4}[/tex]/2    = 1

note that the numerators just count from  0,1,2,3,4  , see?  you can remember sin and cos  now  :)   since you can count to 4   :P

Sin(30) =12

1/2 =12  while that statement makes no sense....  obviously 1/2 isn't equal to 12 but.. what's being said is that the angle of 30°  gives you a side that is 12 units long.  

so looking at what I wrote above.. which angle in degrees matches Sin when you look at Cos?  

Sin(30)= 1/2 and Cos(60) also = 1/2  huh

sooo  β = 60 °

got it?  :/

Answer: c = 8 + 0.03m

Step-by-step explanation:

From the question, we are informed that a company charges $8 per month and $0.03 per minute used.

The equation that best respresents the total cost for the month, c, for m miuntes used will be:

c = 8 + (0.03 × m)

c = 8 + (0.03m)

c = 8 + 0.03m

For example if 10 minutes was used, the cost will be:

c = 8 + 0.03m

c = 8 + (0.03 × 10)

c = 8 + 0.3

c = $8.3

Answer:

(x+2)^2 - 6x+2

(x+2)^2 = (x+2).(x+2)

            = x(x+2) + 2(x+2)

           = xx + x2 + 2x +4 ( x2 = 2x)

           = x^2+ 4x +4

(x+2)^2 - 6x+2

x^2+ 4x +4- 6x+2

x^2+ 4x - 6x+2 +4

x^2- 2x+2 + 6 (b)

Step-by-step explanation:

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The discriminant is ...

  b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112

A negative discriminant means there are no real solutions to the equation.

_____

The complex solutions are 1±i√7.

If we assume the equation has a typographical error and is intended to be ...

  2x^2 -4x -16 = 0

The solutions are x = -2 and x = 4.

Answer:

Step-by-step explanation:

for x then 4 = (x1+7)/2

8 = x1 + 7

1 = x1

for y then -3 = (y1+0)/2

-6 = y1

C = ( 1,-6 )

Answer:

37.5%

Step-by-step explanation:

divide 9 by 24 and you get .375 abd then move 2 decimal places to the left to get a percentage

Answer:

Step-by-step explanation:

I know this is probably wrong but

I think she spends 37.8% of her day at work. 100% is the maximum for percentages. 100/24=about 4.2

9x4.2=37.8

Answer:

280 miles

Step-by-step explanation:

It is given that :

Scale : 1.25 inches = 50 miles

In the map the distance between Piedmont and Tulsa is = 3.5 inches

So the actual distance between Piedmont and Tulsa in miles is given by :

  1.25 inches = 50 miles

So, 3.5 inches = [tex]$\frac{50 \times 3.5}{1.25}$[/tex] miles

                       = 140 miles.

So when we go from Piedmont to Tulsa, it is 140 miles and we go back from Tulsa to Piedmont, it is another 140 miles.

Therefore, total distance = 140 + 140

                                         = 280 miles

Answer:

269277

Step-by-step explanation:

Suppose a city with population 100,000 has been growing at at rate of 6% per year. If this rate continues, find the pouplation in 17 years

We solve using the formula for exponential growth

Pt = P( 1 + r)^t

When

P = Initial population = 100000

Pt = Population after time t = x

r = Growth rate = 6%

t = Time in years = 17

Hence:

Pt = 100000( 1 + 0.06)¹⁷

Pt = 100000( 1.06)¹⁷

Pt = 269277.27858

Approximately the population in 17 years = 269,277

Answer:

3x + y = 20 and x - 2y = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

Given

3x + y = 17 ( subtract 3x from both sides )

y = - 3x + 17 ← in slope- intercept form

with slope m = - 3

Para;;el lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 12 + c ⇒ c = 8 + 12 = 20

y = - 3x + 20 ← in slope- intercept form

Add 3x to both sides

3x + y = 20 ← in standard form

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

(b)

Given

y + 2x = 13 ( subtract 2x from both sides )

y = - 2x + 13 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 1 + c ⇒ c = 3 - 1 = 2

y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = x + 4

x - 2y = - 4 ← in standard form

Answer:

7.1 yd

Step-by-step explanation:

Answer: 5:1

Step-by-step explanation:

25:5

Divide by 5 both sides

5:1

Answer:

Answer is 50cc Number D

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3.4.2

Answer:

Step-by-step explanation:

open circle on -4 and open circle on 4 and a line connecting them

Answer:

in 2.5 hours the bird will fly 150 miles

Step-by-step explanation:

take 60 mins and divide it into 4(=15) take 15 and multiply it by 10 leaving 150 miles in 2hours and 30 minutes

Answer:

1000

Step-by-step explanation:

Answer:

x ≈ 7.1

Step-by-step explanation:

The circumference of this circle is 2πx.

65/360 of that circumference is said to be 8

so we can solve x from

65/360 · 2πx = 8

which can be simlified to

2πx = 8 · 360/65

πx = 288/13

x = 288 / (13π) ≈ 7.1

Answer:

A) 2nd quadrant

B) 2th quadrant

Step-by-step explanation:

hope this helps have a nice day!!

Answer:

Hmmm i would say 64 but its my opinon so also do lenghtxwidthxheight

Step-by-step explanation:

Answer:

448cm²

Step-by-step explanation:

See attached work

Answer:

Hola hablo alemana

Step-by-step explanation:

hablo alemana

7 + 4x

4/5=3x

Answer:

my name is currently

Step-by-step explanation:

jeff joe jang