A quantity with an initial value of 450 grows exponentially at a rate of 0.4% every 10
years. What is the value of the quantity after 96 years, to the nearest hundredth?

Answers

Answer 1

Answer:

467.58

Step-by-step explanation:

Grows 0.4% --> r = .004

Grows every 10 years: exponent of t/10

where t is in years

Write a function:

f(t) = 450(1+0.004)^t/10

96 years means no time conversion is needed due to years being the only unit in the problem

T = 96

f(96) = 450(1+0.004)^96/10

= 467.580247756

≈467.58

youre welcome y'all


Related Questions

I need help with this !!!

Answers

Answer:

no it cannot be

Step-by-step explanation:

because :

2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2

6×10=60

10×2=20 after reducing the fraction its 3/1

hey guys i need some help on this division problem i have

Answers

Answer:

3. 25/28

4. 1 1/7

Step-by-step explanation:

when you divide fractions just flip one of them and then multiply across

so instead of 5/7 ÷ 4/5 its

5/7 • 5/4

please mark me brainliest to help me get ace rank

Which of the following is not a valid triangle congruence theorem?

Answers

All of them or A or b

look at the picture. please please help im stuck.​

Answers

Answer:

7 is greater than or equal to x.

Answer:

Hey I’m not sure but I think it’s A

Step-by-step explanation:

pls help me with this math question pls Pls​

Answers

Angle a will be 77 degrees because the total amount of the angles added up is 180. I added 68 and 35(103). Then subtracted my sum(103) by the to amount of a triangles angles(160). Which gave me 77

Answer:

Hey V...

Step-by-step explanation:

This is ur answer....

Triangle fixed value = 180

= 180 - (68 + 35)

= 180 - (68 + 35) = 180 - 103

= 180 - (68 + 35) = 180 - 103= 77

Hope it helps you,

Mark me brainliest plz....

FOLLOW ME! ;)

Carpets Plus has five square carpet remnants. Two of the remnants measure 8 feet on a side, and three of the remnants measure 10 feet on the side. Which expression represents the total square footage of the five carpet remnants? whats the answers
2× 102) + (3 × 82)
82 + 103
5(8 + 10)2
(2 × 82) + (3 × 102)

Answers

The awnser is 102- 362

HELP ASAP PLZ DONT GUESS THIS DEPENDS ON MY LIFE FRR(graph in pic)

If Sheila rotates triangle PQR 90° counterclockwise to form triangle LMN, what is the measure of angle MNL?
A.130 °
B.100 °
C.50 °
D.30 °

Answers

Answer:

30

Step-by-step explanation:

This is a bit nasty, but you must keep the order in mind. PQR means that Q is the middle letter. M is also the middle letter. That's the easy part. What does MNL mean?

The lettering goes clockwise. MNL is the same thing as QRP. So what is R?

50 + 100 + R = 180

150 + R = 180

R = 180 - 150

R = 30

PLS HELP HELP ME WITH a question pls ​

Answers

Step-by-step explanation:

d.

e +e+25=180°{sum of angle of triangle}

2e+25=180°

2e=155

e=155/2

e=77.5°

e.

55°+55°+f=180°{sum of angle of triangle}

f=180-110

f=70°

hope it helps.

What is the correct step to solve this equation?
m + 4 = 10

A. Subtract 4 from both sides
B. Subtract 10 from both sides
C. Add 4 to both sides
D. Add 10 to both sides

Answers

Answer: C add 4 to both sides
I hope this helps you !
It’s A.
4-4=0
10-4=6
Check your work by putting the number in and see if it’s right
6+4=10

please hepl with this math

Answers

Answer:

3,10,17,24

Step-by-step explanation:

An Arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

3,10,17,24

the difference is 7

What if I fart instead of helping?

In a recent study of 35 ninth-grade students, the mean number of hours per week that they played video games was 16.6. The standard deviation of the population was 2.8.
a. Find the best point of estimate of the population mean
b. Find the 95% confidence level of the mean of the time playing video games
c. Find the 99% confidence interval of the mean time playing video games
d. Which is larger? Explain why.

Answers

Answer:

a) 16.6

b) The 95% confidence level of the mean of the time playing video games is between 15.7 and 17.5 hours.

c) The 99% confidence level of the mean of the time playing video games is between 15.4 and 17.8 hours.

d) The margin of error increases as the confidence level increases, due to the value of z, which means that the 99% confidence interval is larger.

Step-by-step explanation:

a. Find the best point of estimate of the population mean

The best estimate for the population mean is the sample mean, which is 16.6

b. Find the 95% confidence level of the mean of the time playing video games

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2.8}{\sqrt{35}} = 0.9[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 16.6 - 0.9 = 15.7 hours

The upper end of the interval is the sample mean added to M. So it is 16.6 - 0.9 = 17.5 hours

The 95% confidence level of the mean of the time playing video games is between 15.7 and 17.5 hours.

c. Find the 99% confidence interval of the mean time playing video games

Following the same logic as above, we have that [tex]Z = 2.575[/tex]. So

[tex]M = 2.575\frac{2.8}{\sqrt{35}} = 0.9[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 16.6 - 1.2 = 15.4 hours.

The upper end of the interval is the sample mean added to M. So it is 16.6 + 1.2 = 17.8 hours.

The 99% confidence level of the mean of the time playing video games is between 15.4 and 17.8 hours.

d. Which is larger? Explain why.

The margin of error increases as the confidence level increases, due to the value of z, which means that the 99% confidence interval is larger.

The mean is 16.6, 95% confidence interval is between 15.68 to 17.52, the 99% confidence interval is between 15.39 to 17.81, and the 99% confidence interval is larger.

It is given that the in recent study of 35 ninth-grade students the mean number of hours per week is 16.6 with standard deviation of the population was 2.8.

It is required to find the best point of estimate of the population mean, 95% confidence interval, and 99% confidence interval.

What is a confidence interval for population standard deviation?

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have confidence level = 95% = 0.95

We know:

[tex]\alpha = \frac{1-0.95}{2}[/tex]  = 0.025

[tex]\rm Z_1 _-_\alpha = Z_{0.975} = 1.96[/tex]  (from the Z table)

The sample size n = 35

We know the Margin of error formula:

[tex]\rm M =Z\frac{\sigma}{\sqrt[]{n} }[/tex]  ( [tex]\rm \sigma\\[/tex] = 2.8 )

[tex]\rm M =1.96\frac{2.8}{\sqrt[]{35} }[/tex]  

M = 0.92

The 95% interval will be:

= X - M ⇒ 16.6 - 0.92 ⇒15.68

= X+ M ⇒ 16.6+0.92 ⇒ 17.52

For 99% confidence level:

[tex]\alpha = \frac{1-0.90}{2} = 0.005[/tex]

[tex]\rm Z_1 _-_\alpha = Z_{0.005} = 2.575[/tex]  (from Z table)

[tex]\rm M =2.575\frac{2.8}{\sqrt[]{35} }[/tex]

M = 1.21

The 99% interval will be:

=16.6 - 1.21 ⇒  15.39

= 16.6+ 1.21 = 17.81

As the value of M increases the confidence value increases due to the value of Z that means 99% confidence interval is larger.

Thus, the mean is 16.6, 95% confidence interval is between 15.68 to 17.52, the 99% confidence interval is between 15.39 to 17.81, and the 99% confidence interval is larger.

Learn more about the confidence interval here:

brainly.com/question/6654139

find the probability that a randomly selected point within the circle falls in the red shaded area round to the nearest hundredth r = 4 cm 2.5 cm 3 cm 3 cm

Answers

Answer:

[tex]p\approx 0.39[/tex]

Step-by-step explanation:

We are given a circle of radius 4 cm, and a triangle inscribed within the circle with a vertical height of 6.5 cm and a base of 6 cm.

To find the probability a randomly selected point lands in the red area, we can divide the red area by the total area.

The area for a circle is given by:

[tex]A=\pi r^2[/tex]

Since the radius is 4 cm, the area of the circle or total area is:

[tex]A=\pi (4)^2=16\pi \text{ cm}^2[/tex]

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base of the triangle is 6 cm total and the vertical height is 6.5 cm. Therefore, the area is:

[tex]\displaystyle A=\frac{1}{2}(6)(6.5)=19.5\text{ cm}^2[/tex]

The probability of landing in the red shaded area is:

[tex]\displaystyle p=\frac{\text{Red Region}}{\text{Total Region}}[/tex]

Therefore:

[tex]\displaystyle p=\frac{19.5}{16\pi}\approx 0.39=39\%[/tex]

I got a screenshot, You got answer

Answers

Answer:

A. [tex]V = (pi)(3.25)^2(12)[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,

[tex]A = (pi)(r)^2[/tex]

Multiply that by the height to find the formula for the volume of a cylinder,

[tex]V=(pi)(r)^2(h)[/tex]

Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.

[tex]V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)[/tex]

Pls answer it will help a ton!

Answers

Answer:

Graph.

The graph shows 6 texts an hour, but should show 12 texts an hour.

.
Write the expression in exponential form, and then evaluate
0.75x 0.75x 0.75
=

Answers

Answer:

3

.75

the solved version would be .421875

the numbers on top are translated in English to .75 to the power of 3.

Step-by-step explanation:

I'm pretty sure this is correct

x−8<−1
Can someone plz tell me the answer

Answers

Answer:

Step-by-step explanation:

you have to add 8 in both sides

x-8<-1

x-8+8<-1+8

x<7

Answer:x<7

Step-by-step explanation:

Step 1: Add 8 to both sides.

x−8+8<−1+8

x<7

PLSSS HELP DUE IN 5 MINUTES!!!!
PLEASE DO NOT ANSWER JUST FOR POINTS!!!

LOOK AT THE IMAGE FOR THE QUESTIONS AND ANSWERS
NOTE: The first answer “(0,9)” is incorrect I tried and it was wrong so please it’s either (9,0) or (3,0)

Answers

Answer:

I think it's (0,3) sorry if it not

Answer:

(3, 0)

Step-by-step explanation:

The vertex point is 3 units to the right of the origin, making the x-coordinate 3, but it doesn’t move up or down, meaning that the y-coordinate is 0.

so it’s (3,0)

Btw, the vertex is the point of the parabola where it’s the minimum or maximu (minimum in this case). You answered for the y-interceptm which is where the parabola touches the y-axis.

True or False.

The expressions 3+y and 13(6+y) are equivalent?



True

False

Answers

Answer:

False

Step-by-step explanation:

Brainliest please?

I need help I don’t understand

Answers

Answer: CA= 13.5

Step-by-step explanation:

tan 64 = CA/6.6

2.05 = CA/6.6

CA = 13.5

Ta-Da!

5 - 3(7n + 8) =??????????

Answers

Answer:

-21x-19

Step-by-step explanation:

Answer:

The answer is -19 - 21n

by the way in the image those are the letter N, I hope this helps you :)

Phil mows lawns during the summer to earn money for college. He makes $50 per mowed lawn. How many lawns must Phil mow to make at least $1,000? Question 18 options: A) At most 20 lawns B) At least 20 lawns C) At most10 lawns D) At least 10 lawns

Answers

Answer:

20 lawns

Step-by-step explanation:

$1000 divided by $50 = 20

ayuda plis es para hoy ​

Answers

La respuesta es la que dice 0.4

Answer:

La respuesta es la que dice 0.4

Step-by-step explanation:

Por que si cuentas desde el 0 cuentas 1 2 3 4 entonces es 0.4 espero haberte ayudado coronita plis :(

Marty saved $200 this month. That is 50% of the money he earned mowing lawns. How much money did Marty earn mowing lawns? dollars.​

Answers

Answer:

400

Step-by-step explanation:

half of 400 is 200? i need more letterssss

PLS HELP
Simply the expression by combining like terms.
6x+9+2x+4=

Answers

Answer:

Combine like terms: 18x + 15x = 33x

(45 + 33x + 6x2)

Step-by-step explanation:

Answer:

Combine like terms: 18x + 15x = 33x

(45 + 33x + 6x2)

Step-by-step explanation:

Evaluate each expression.

Answers

A is 13 and b is 27 and c is 12

You enter an online cooking tournament. The entry fee is $16, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 3 finishers win money. First place wins $58, and second place wins $47. Third place wins $5. You give yourself an X chance of finishing in the top 3, and if you finish top 3, then you have an equal chance of finishing first, second, or third. What is X such that entering this tournament is a fair gamble for you. A fair gamble is one where the expected value of entering the tournament is $0.

Answers

Answer:

X =  0.5714

Step-by-step explanation:

entry fee = $16

price for first place = $58.   Net win = $58 - $16 = $42

price for second place = $47.  Net win = $47 - $16 = $21

price for third place = $5.  Net win = $5 - $16 = -$11 ( loss ) hence third position is not a fair gamble

Net loss for the rest =  -$16

Given that

P(1st place ) = P( 2nd place ) = P(third place ) =  X/3

P( rest ) = 1 - X

Hence the E(profit )

= 42 * X/3 + 37 * X/3 - 11 * X/3 - 16* ( 1 - X )

= 42X / 3  + 37X / 3 -  11X / 3 - 16 + 16X

= 68 X / 3 + 16X - 16

= 84X / 3 - 16 =  28x - 16

hence : 28X - 16 = $0    is a fair gamble

X = 16 / 28 = 0.5714

Sofia says that 1/3⋅1/3⋅1/3⋅1/3=4/3

Answers

Answer:

false

Step-by-step explanation:

Sofia is wrong; 1/3 · 1/3 · 1/3 · 1/3 = 11/12.

What is the equation that represents the relationship shown in the table?​

Answers

The equation is x+8=y

Help fast please....

Answers

Answer:

46 yd²

Step-by-step explanation:

What is the perimeter of the trapezoid?

Answers

Answer:

30 i think

Step-by-step explanation:

Your correct answer should be 30
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