A person invested $2,500 in an account growing at a rate allowing the money to
doubleevery 11 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $3,800?

Answers

Answer 1

Answer:

Step-by-step explanation:

A person invested $2,500 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the

value of the account to reach $3,800?

The formula for exponential growth given as:

A(t) = Ao (1/2)^t/t½

A(t) = Amount after time t = $3,800

Ao = Initial amount invested = $2500

t = Time in years

t½ = Time it takes to double = 11 years

Hence,

3800 = 2500(1/2)^t/11

Divide both sides by 2500

3800/2500 = 2500(1/2)^t/11/2500


Related Questions

The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?

Answers

Answer:

the maximum height of the ball is 42.25 m

Step-by-step explanation:

Given the height function as;

h(t) = -16t² + 12t + 40

At maximum height, the final velocity of the ball will be zero.

The final velocity is calculated as follows;

[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]

At maximum height, the time of motion of the ball is 0.375 s.

The maximum height is calculated as follows;

h(t) = -16t² + 12t + 40

h(0.375) = -16(0.375)²   +   12(0.375)    +   40

h(0.375) = -2.25  +  4.5  +  40

h(0.375) = 42.25 m

Therefore, the maximum height of the ball is 42.25 m

A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.

Answers

Answer:

Is the triangle a right triangle?

One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?

Answers

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]

If this helped you a Brainliest would be appreciated!

Answer:

0.75

Step-by-step explanation:

the triangle below has an area of 25 units2, find the missing side

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]A= 0.5 bh[/tex]

[tex]25=0.5 (10)h\\\\[/tex]

[tex]25=5h[/tex]

[tex]5h=25[/tex]

[tex]h=5[/tex]

[tex]-------[/tex]

what is the circumference area?

Answers

I believe the circumference is 52.15.

PLEASEEE I NEED HELP



Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.

Answers

Y=(x+4)^2-25 , (4,-25)

In ΔWXY,m∠W=(2x−12)m∠X=(2 x+17), and∠Y=(9x−7). Find∠X.

Answers

Answer:

x = 15

Step-by-step explanation:

2x + 17 = X

x=17-2

= 15

therefore x = 15

The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?

Answers

Answer:

Balance in Zac's account = - $24.63

Step-by-step explanation:

Given:

Balance in Al's account = $32.60

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Zac's account = balance in Dee's account - $49.08

Find:

Balance in Zac's account

Computation:

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Dee's account = [3/4][32.60]

Balance in Dee's account = $24.45

Balance in Zac's account = balance in Dee's account - $49.08

Balance in Zac's account = $24.45 - $49.08

Balance in Zac's account = - $24.63

im just clueless i need help

Answers

Answer:

.....

Step-by-step explanation:

on what

Answer:

I didn't help because you did not ask any questions

20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?

A The amount a babysitter who makes $7.50 per hour earns in h hours

B The cost of purchasing p pounds of oranges for $1.35 per pound

C The number of gallons of water in x barrels with 13 gallons of water in each barrell

D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds

Answers

Answer:

d

Step-by-step explanation:

i think its d

please help with this. i can even give brainliest!!!!

Answers

Answer: i think 10

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

The answer is D. Alloys

Answer:

Step-by-step explanation:

Both arsenic and lead can be / are poisonous, so "poison" is the best response here.

Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.

Answers

Answer:

The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]

Step-by-step explanation:

The given two equations are

[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]

Now rearranging the two equation in such a way that variables with similar with same power are grouped together -

[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]

A
B
с
D
[1]
Which carboxylic acid has an M. of 46?
A
butanoic acid
B
ethanoic acid
С
methanoic acid
D
propanoic acid
D
B


Guys please helpppp I have an exam

Answers

Answer:

d is the answer young man

Giving brainlist to whoever answers

Answers

Answer:

C 2496 in3

Step-by-step explanation:

Answer:

2496 in3

Step-by-step explanation:

Volume = LWH

24*8*13 = 2496

Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year

F. $1,680.00
G. $46.67
H. $466.67
J. $168.00

Please help ASAP

Answers

F i just did that question on a test a while ago

Answer:

$1,680 - F

Step-by-step explanation:    

You do 2800 x 0.6 in ur calculator which is 1680..

NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.

please helpppppppp , thank you!

Answers

Answer:

1/2 is likely but I'd rather go with 2

Is that right? I'll post the pic

Answers

Answer:

I believe it is, I skimmed across it looks accurate to me

Step-by-step explanation:

Find the area of the rectangle on this centimetre grid.

Answers

Answer:

Step-by-step explanation:

I think this question is not clear.

If you could explain/upload the centimeter grid it'd be explain.

But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).

Use the formula, Area of a rectangle = l×b to solve your math problem

2 easy questions for 35 points

Answers

Answer:

for question 5

(1) 9x > 3x + 6

6x > 6

x=1

(2) $100-$10=$90

$90/5=18

Joan would need to work 18 hours

for question 6

P+ (PRT)/100

475 + 475(8.5)(12)/100

475+484.5

= 959.5

I hope this helped you ;)

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

Answers

Answer:

[tex]g(x)=-2\sqrt[3]x[/tex]

or

[tex]g(x) = -2f(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]x[/tex]

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

We can represent g(x) as:

[tex]g(x) = n * f(x)[/tex]

So, we have:

[tex]g(x) = n * \sqrt[3]x[/tex]

For:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex]2 = n * \sqrt[3]{-1}[/tex]

This gives:

[tex]2 = n * -1[/tex]

Solve for n

[tex]n = \frac{2}{-1}[/tex]

[tex]n = -2[/tex]

To confirm this value of n, we make use of:

[tex](x_2,y_2) = (1,-2)[/tex]

So, we have:

[tex]-2 = n * \sqrt[3]1[/tex]

This gives:

[tex]-2 = n * 1[/tex]

Solve for n

[tex]n = \frac{-2}{1}[/tex]

[tex]n = -2[/tex]

Hence:

[tex]g(x) = n * \sqrt[3]x[/tex]

[tex]g(x)=-2\sqrt[3]x[/tex]

or:

[tex]g(x) = -2f(x)[/tex]

Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2

Answers

Answer:

Multiply 15 by 9, then divide by 2.

Step-by-step explanation:

We need to solve the given expression.

[tex]15\div \dfrac{2}{9}[/tex]

We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]

We have,

a = 15, b = 2 and c = 9

So,

[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]

So, the steps are "Multiply 15 by 9, then divide by 2".

8 7/8 divided by 2 1/2 feet

Answers

71/20 or 3.55 as a decimal

Answer:

3.55

Step-by-step explanation:

First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.

-3x + y = 7
5x+ 2y = 3
Substitution?

Answers

Answer: r=-1,y=4

Step-by-step explanation:

Write the equation of a line going through the points: (1, -2) and (-2, 4)

Answers

Answer:

Step-by-step explanation:

y=-2x

Please answer need fast

Answers

Answer:

B is the correct ans

please mark brainliest

Please help I will give brainliest IF IT IS CORRECT

Answers

Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

Hexagon

Step-by-step explanation:

It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.

Answer:

It should be hexagon

Step-by-step explanation:

Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

800 full marks

Step-by-step explanation:

295 + 25 = 320 marks required to pass

320 / 0.40 = 800 full marks

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