A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?

Answers

Answer 1

Answer:  303.870087962229

Simplify ≈303.87

Step-by-step explanation:

Grows 9.5%→r=0.095 Divide by 100

Grows every 2 decades: exponent of t2

(where t is in decades)

Write a function:

f(t)=240(1+0.095) ^t/2 Percent change every 2 decades

52 years→52/10→5.2 decades There are 10 years in a decade

Plug in t=5.2

f(5.2)=240(1+0.095) 5.2/2

Answer:  303.870087962229

≈303.87

Round to the nearest hundredth


Related Questions

(4+14) divided by 9 ???????

Answers

Answer:

2

Step-by-step explanation:

4+14=18

18/9=2

The answer is 2, 14+4=18 and 18 divided by 9 is 2.

what is the midpoint of the segment with endpoints (2,-1) and (-3,4)

Answers

Let M = midpoint of the line segment.

M = [(2 - 3)/2, (-1 + 4)/2]

M = (-1/2, 3/2)

Done.

What is the volume of a cube that has a height of 10 inches?
10 inches
(3)
1,000 cubic
inches
40 cubic
inches
100 cubic
inches
600 cubic
inches
Daha

Answers

Step-by-step explanation:

since all sides of a cube have the same length (same principle as e.g. for a square), this means also the length and width are 10 in long.

the volume is therefore

10 × 10 × 10 = 1000 in³

Rachel finished 3/4of the race in 6 hours. How long was the entire race?

Answers

Answer:

it will take a total of 8 hours to finish the race

Step-by-step explanation:

6h÷3/4=8

How many solutions does this equation have?
-2(t- 4) = 10 - 27
no solution
one solution
infinite solutions
two solutions

Answers

Answer:

t = 12.5

Step-by-step explanation:

Assuming you typed the equation correctly:

-2(t-4) = 10 - 27

-2(t-4) = -17

t-4 = 8.5

t = 12.5

So, there's only one solution

Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?

Answers

The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.


Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.

Answers

Answer:

 3.416 x 10^(" + * + 1)

Step-by-step explanation:

The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect.  Whatever they are, do the following:

1) multiply 5.6 times 6.1.  Result = 34.16

Add the two exponents:  (" + *)

The result is 34.16 x 10^(" + *)

Then move the decimal point one to the left and add 1 to the 10 exponent:

3.416 x 10^(" + * + 1)

HELPP EASY MATH FOR Y GUYS IM 5 GRADE

Answers

Answer:

Step-by-step explanation:

for number 8.) 14+8b
for number 9.) 9r-45

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

I assume the problem is to graph the lines.  The easiest is to pick two values of x and calculate y for each line.  For example:

21.  y = -4x + 5  I'll randomly choose vales of 1 and 2 for x and calculate y:

(1, 1)  and   (2, -3)

Now mark those two points and draw a straight line through them.  It is an equation of a straight line, so we know this will be correct.

22.  Same process:

(1,6) and (2,7)

23.  (1,0) and (2,-3)

24.  (1,-4) and (2,-6)

=====================

These are shown in the attachment.  What's also shown is the second method of producing the lines:  Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.

1–5 change the following improper fractions to mixed number.
6–10 change the following mixed numbers to improper fraction.​

Answers

Q1 is 2 2/3 or 2 2 out of 3 or 2.66666666667
Q5 is 3 1 out of 3 or 3 1/3 or 3.33333333
Q6 is 27/12 or 27 out of 12
Q10 is 109/10 or 109 out of 10

40% of _______ is 16

Answers

Answer:

40

Step-by-step explanation:

40/100=0.4

0.4 x 40= 16

so 40% of 40 is 16

Answer:

,40

Step-by-step explanation:

40% of 40 is equal to 16

PLEASE HELP. I'LL GIVE BRAINLIEST.

Find the missing value to complete the square. So what is the value of the question mark that would make the equation true.

x² + 8x + ?

Answers

Answer:

16

Step-by-step explanation:

(x+4)(x+4)

Answer:

The answer is 16.

Step-by-step explanation:

Since the 8x is positive, the equation [tex](x+y)^2[/tex] must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

[tex]\frac{8x}{2} \\\\4^2=16[/tex]

The last number must be 16. Let's check it.

[tex](x+4)^2=x^2+8x+16[/tex]

Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.

Answers

Answer:

Step-by-step explanation:

9h + 24 = 60

A family eats at a restaurant.The bill is 120.The family leaves a tip and spends 140.

Answers

I’m not sure what you’re asking here

Answer:

the tip is $20 and the food costs $120

Step-by-step explanation:

it says that the bill is 120

when family leaves they spend 140 total

140-120=20

$20 tip

pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS

Answers

Answer: where’s the question??

Please help me with my Geometry.

Answers

Answer:

4 feet

Step-by-step explanation:

I dont know if its right but i hope it is!

Write an equation for the nth term of the arithmetic sequence. Then find 230 -
-9, -6, -3,0, ...
=
a30
Helpquick

Answers

Answer:

hope it helps you ✨✨✨✨✨✨

factor 6 out of [tex]6x^2[/tex] - 18

Answers

Answer:

See below

Step-by-step explanation:

6x² - 18 = 6*x² - 6*3 = 6(x² - 3)

[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]

Take 6 common in order to factor out6x^2=6(x^2)18=6(3)

[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]

Will give BRAINLIEST

Answers

Answer:

Quadrant 1 (1,5)

Step-by-step explanation:

The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.

Point T is in the upper right which is quadrant 1

what is the sign of -5 times (-1/-2)

Answers

Answer:

-

Step-by-step explanation:

2 2/5 - 1 1/3 + 3 1/2

Answers

Answer: 4 17/30

Step-by-step explanation:

2 2/5 - 1 1/3 + 3 1/2

(2 12/30 - 1 10/30) + 3 15/30

1 2/30 + 3 15/30 = 4 17/30

Have a nice day, and if you could be so nice as to give me a brainliest

Write 24 as a product of prime factors.

Answers

Answer:

hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2

Step-by-step explanation:

Find the slope of the line that contains (−5,4) and (2,4).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:its a zero slope or you can do  x2-x1 and y2-y1 and if its an even fraction try simplifying it .

Step-by-step explanation:

The slope of the coordinates is 0.

what is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

So, Slope = m = tan θ

slope = (y2 - y1)/(x2 - x1)

given coordinates:

(−5,4) and (2,4)

So, slope = (y2 - y1)/ (x2 - x1)

slope = (4- 4)/ (2 - (-5))

slope = 0 / 7

slope = 0

Hence, the slope of the coordinates is 0.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?

Answers

Answer:

6.24

Step-by-step explanation:

13 * .48

What is the slope of the line through (6,0) and (7,1)

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's find the slope of line passing through given points ~

[tex] \sf \dfrac{y2 - y}{x2 - x1} [/tex]

[tex] \sf \dfrac{1 - 0}{7 - 6} [/tex]

[tex] \sf \dfrac{1}{1} [/tex]

[tex] \sf1[/tex]

Hence, slope of the line will be 1.

Answer:

1

Step-by-step explanation:

slope = (change in y)/(change in x)

slope = (1 - 0)/(7 - 6)

slope = 1/1 = 1

Answer: 1

The pumpkin patch is open ever day. If it sell 2,750 pounds of pumpkins each day, about how many pounds does it sell in 7 days?

Answers

Answer:

19,250 I think.

Step-by-step explanation:

2,750 x 7 19,250

2750x 7 =19250 pounds

You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start

Answers

Answer:

(-3, -4)

Step-by-step explanation:

(-5, -5)

2 units right

(-3, -5)

1 unit up

(-3, -4)

just go backwards

Answer:

(-3, -4)

Step-by-step explanation:

The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.

10 + (-3 3/8)

Please explain of how i can do this

Answers

Answer:

53/8 or 6.625

Step-by-step explanation:

10 + (-3 3/8)

Convert everything to a fraction having the same denominator.

-3 3/8

-24/3 - 3/8

-27/8

10

80/8

Combine:  (80/8 - 27/8) = 53/8 or 6.625

If (x +4) + (y - 3) = -1 -i, what are the values of x and y?

Answers

Answer:

x=y-2

y=x-2

Step-by-step explanation:

Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?

Answers

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

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