Suppose you invest $2000 at an annual interest of 5.5% compounded continuously.
a. How much will you have in the account in 10 years?
b. How long will it take for the account to reach $5000?

Answers

Answer 1

Answer:

[tex]2000 \times {1.055}^{10} = 3416.29[/tex]

[tex]5000 \div 2000 = 2.5[/tex]

[tex] log_{1.055}(2.5) = 17.11[/tex]


Related Questions

m
(9x + 2)
1
(5х – 1)°
740
What is mz2?
39°
570
ОООО
67°
740

Answers

Answer:

          m∠2 = 67°

Step-by-step explanation:

m║n   ⇒   (9x + 2)° = 74°       {Corresponding Angles}

(9x)° = 72°

 x = 8

Angles: angle corresponding to angle (5x-1)°, angle 74° and angle 2 add to 180° (straight angle)

(5×8 - 1)° + 74° + m∠2 = 180°

39° + 74° + m∠2 = 180°

113° + m∠2 = 180°

m∠2 = 180° - 113°

m∠2 = 67°

please help will give brainliest

Answers

Answer:

80

Step-by-step explanation:

10x8x1

b times w times h

Answer:

80

Step-by-step explanation:

B*w*h= 80

David has counters. Lisa has 5 more counters than David. Samia has 4 times as many counters as David. The total number of counters is . Write a formula for in terms of . Give your answer in its simplest form.

Answers

Answer:

if 'c' equals number of counters, the answer is 6c + 5

Step-by-step explanation:

david has 'c'

lisa has '5+c'

samia has '4c'

add all terms together:  c + 5 + c + 4c = 6c + 5

The formula for the total number of counters in terms of x is T = 6x + 5

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Let's start by expressing the number of counters Lisa has in terms of x. We know that Lisa has 5 more counters than David, so:

Lisa = David + 5

Lisa = x + 5

Next, we need to express the number of counters Samia has in terms of x. We know that Samia has 4 times as many counters as David, so:

Samia = 4 × David

Samia = 4x

Finally, we can express the total number of counters in terms of x by adding up the number of counters each person has:

T = David + Lisa + Samia

T = x + (x + 5) + 4x

T = 6x + 5

Therefore, the formula for the total number of counters in terms of x is T = 6x + 5.

Learn more about the algebraic expression here :

brainly.com/question/21751419

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The complete question is as follows:

David has x counters. Lisa has 5 more counters than David.

Samia has 4 times as many counters as David.

The total number of counters is T.

Write a formula for Tin terms of x. Give your answer in its simplest form.

Ten years ago, the population of a town was 5,085 people. Since then, the population of the town has
increased by a total of 19.51%.
Which of the following is closest to the current population of the town?

Answers

Answer:

6077

Step-by-step explanation:

[tex]5085 \times (1 + 19.51\%) = 6077[/tex]

Evaluate f(g(0)) when
f(x) = x-3 and g(x) = -x^2 - 4x

Answers

Answer:

-3

Step-by-step explanation:

g(0) = 0

f(g(0)) = 0 - 3 = -3

x + y = 3
x^2 + y^2 = 5
Solve

Answers

Answer:

(1, 2 ), (2, 1 )

Step-by-step explanation:

Given the 2 equations

x + y = 3 → (1)

x² + y² = 5 → (2)

Rearrange (1) expressing y in terms of x by subtracting x from both sides

y = 3 - x → (3)

Substitute y = 3 - x into (2)

x² + (3 - x)² = 5 ← expand and simplify left side

x² + 9 - 6x + x² = 5

2x² - 6x + 9 = 5 ( subtract 5 from both sides )

2x² - 6x + 4 ( divide through by 2 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

Substitute these values into (3) for corresponding values of y

x = 1 : y = 3 - 1 = 2 ⇒ (1, 2 )

x = 2 : y = 3 - 2 = 1 ⇒ (2, 1 )

pls help there are 3 pics with multiple questions inside of them pls thank you

Answers

Answer:

Step-by-step explanation:

17. Rotation

18. Always

19. 4

20.

21. Acute triangle/ Isosceles triangle. All angels are acute and there are none of the sides are equal.

22. The transformation was a reflection. I know this because all the colors flipped, but everything else is the same.

Answer:

17. rotation

18. never

19. 4

20. The third one

21. It is an acute ASA triangle because all of the angles are less then 90 degree and since you are given the sides as well, it is ASA.

22. A rotation was used, because the colors are rotated 90 degrees, even though the shape itself stays the same.

Step-by-step explanation:

The rectangle on the right is a scaled copy of the rectangle on the left. Identify the
scale factor. Express your answer as a whole number or fraction in simplest form.
45
30
15
45/2

Answers

Scale factor = 1 ½

hope this helps!!

Des Moines and Cedar Rapids, IA 16.27 cm on the map with a scale of 2 cm = 15 mi

Answers

Bonjour, je ne aime mathematic je ne vous save

please help im dum.b

Write the percent as a fraction or mixed number in simplest form.--- 180%

Answers

Answer:

9/5

1 4/5

Step-by-step explanation:

Answer:

Please find attached pdf

Step-by-step explanation:

HEY LOOK HERE I NEED YOU TOO CHECK IF THIS IS CORRECT!

Answers

Answer:its correct

Step-by-step explanation:

Looks good to me, good job :)


Puzzle Four
It's Friday and you are leaving school. You are going to the pizza palace and
then the movies with your friends. After the movies you go home and
Saturday you wake up to spend the day at the park and then go to the
school to play on the basketball court. After a very active day you go home
to sleep. Determine the total distance you traveled on Friday and Saturday
if you always took the most direct route (HINT: Find the hypotenuse). Each
cell on the graph represents one mile. The total distance traveled will
unlock puzzle fourl Round all your answers to the nearest hundredth
Mall
School
Pizza Palace
Home
Park
Movis
Theatre

Answers

Answer:

is it 49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

15. Simplify an expression for the area of the
rectangle shown below.
8x - 2.
4.

Answers

Answer:

Area of the rectangle  A   = 32 x - 8

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle(l) = 8x-2

Given that the width of the rectangle (w) = 4

Area of the rectangle = length × width

                         A   = (8x - 2) × 4

                         A   = 32 x - 8

Final answer:-

Area of the rectangle  A   = 32 x - 8

PLEASE PLEASE HELP I WILL GIVE BRAINALIST TO THE FIRST PERSON!!!

AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?

Answers

Answer:

blahhhhahahhah

Step-by-step explanation:

Answer:

check this out

Baggin'

Song by 42 Dugg and Marshmello

Mello made it right

God sat me down and told me, "Youngin', you the one"

Givenchy, Louis, BAPE, the only thing, I'm from the slums

White gold, Presidential, maybe I should run

Still get 'em by the ton, sixty-five three times a month

Baggin', what you doin'? Baggin', baggin'

2020 Mclaren, Moe got me thinkin' 'bout cashin'

I'm a savage (h,oe), Megan, savage

Heard I fu.cked her friend, she keep callin' me a savage

She gon' suck it 'cause she nasty

Once I fu.ck her I be laughin' (fu.ck off)

We'll never meet again, only thing I eat is tens

Baggin', what you doin'? Baggin', baggin'

Prolly throw a six, never a five, yeah fours

Tell the world get off my d,ick

I get nervous when I get mentioned

Bro do four a week in Cinci, could be five, but he too picky

Keep that fye, b.itch, don't get Ricky'd

Without my guys, feel like sumn missin'

Too many proud fu,cks, too many bit,ches

Moral of the story, I don't fu.ck with you ni,ggas

You tryna get fame, fu,ck 'round, get painted

Proud of myself, I don't do no hatin'

A person places 1 penny in a piggy banking the first day of the month,

Answers

Answer: What’s the rest of the question?

Step-by-step explanation:

PLEASE HELP ITS TIMED!!!
Order from least to greatest -1/2, -3/4, -2/5

Answers

Answer:

-2/5, -1/2, -3/4

Step-by-step explanation:

You have to have the same denominator.

-10/20, -15/20, -8/20

Hope this helps!

3 x 10-4 x 5 x (102)
Soit le nombre C=
25 x 10-2
Calculer C.
On écrira le résultat en notation scientifique

Answers

Answer:

18×5×102=9180

25×8=200

Fill in the green box.
z
4
9
Z =
= [?]

Answers

I think it’s z if not I’m so very sorry

The answer is 18 think (I’m sorry if not)

Pls help me out.........

Answers


706.5 sq meters. I did that math

What is the mean of the data set?
29, 26, 35, 34

Answers

the mean of that set is 31

Answer:

31

Step-by-step explanation:

Add all the numbers:

29 + 26 + 35 + 34 =  124

Divide by 4 (because there are 4 total numbers):

124/4 = 31

My question is. x-8/5= 2/4

Answers

Answer:

x = 21/ 2

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

~Hoped this helped~

if a + b + c is equals to 270 then prove that sin a cos b sin c + cos a sin b sin c + sin a sin b cos c = cos a cos b cos c​

Answers

Answer:

[tex]Solution,\\a +b+c=270\\or, a +b = 270-c\\[/tex]

[tex]cos(a+b) = cos(270-c)~~~~~~~~~and~~~~~~~~~sin(a+b)=sin(270-c)\\or, cos(a+b) = -sinc,~sin(a+b) = -cosc\\Now,\\L.H.S. = sina.cosb.sinc +cosa.sinb.sinc + sina.sinb.cosc\\~~~~~~~~~~= sinc (sina.cosb+cosa.sinb)+sina.sinb.cosc\\~~~~~~~~~~=sinc[sin(a+b)]+sina.sinb.cosc\\~~~~~~~~~~=sinc.-cosc+sina.sinb.cosc\\~~~~~~~~~~=cosc(sina.sinb-sinc)\\~~~~~~~~~~=cosc[sina.sinb+cos(a+b)]\\~~~~~~~~~~=cosc[sina.sinb+cosa.cosb-sina.sinb]\\~~~~~~~~~~=cosc.cosa.cosb\\~~~~~~~~~~=cosa.cosb.cosc \\[/tex]

Hope I helped you!

Little Johnny is saving money to purchase a phone. He is saving the same
amount each week. After 3 weeks of saving, Johnny still needs $650 to
purchase the phone. After 6 weeks, he still needs $485. How much does
the phone cost? *
$870
$815
$760
$840

Answers

Answer:

$815

Step-by-step explanation:

650 - 485 = $165 saved every 3 weeks

calculate amount before he started saving:

650 + 165 = $815


C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals
purchased, n. The function iſ represented by the equation C(n) = 4 + 3n.
1. Find a value of n such that C(n) = 31 is true.

Answers

Answer:

9

Step-by-step explanation:

First, write the equation.

C(n) = 4 + 3n

We know that C(n) = 31, so we can substitute it.

31 = 4 + 3n

Subtract 4 from both sides to isolate the term with the variable.

27 = 3n

Divide both sides by 3 to get the variable by itself.

9 = n

The value of n such that C(n) = 31 is true is 9

Cost functions

Given the cost in dollars, of a cafeteria meal plan as a function of the number of meals  purchased, n as:

C(n) = 4 + 3n

If the cost value C(n) is 31, hence;

31 = 4 + 3n

3n = 31 - 4

3n = 27

n = 27/3

n = 9

Hence the value of n such that C(n) = 31 is true is 9

Learn more on equations here: https://brainly.com/question/2972832

i need help with the picture below

Answers

Answer:

Maggie - 0.19

Answer: Maggie - 0.19

You bought a car for $5,000. Each year it depreciates in value by 8.5% which equation can be use to find the value, v, of the car x years after it was purchased?

Answers

Answer:

I believe this is the answer

V=5000(1•0.085)^x

Step-by-step explanation:

sorry if its incorrect i just wanted to help

"v = 5000 * (1-0.085)x" is the formula that is used to determine the car's worth.

What is depreciation?

An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement of this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc.

Given, You bought a car for $5,000. Each year it depreciates in value by 8.5%

In this case, we have the following formula:

v = C. (1 - r)ˣ

Where C is the original value of the car, r is the depreciation rate and x is the time in years

Equation to find the value = 5000 * (1- 0.085)ˣ

Therefore, the equation that helps in calculating the value of the car is

"v  = 5000 * (1- 0.085)ˣ".

Learn more about depreciation here:

https://brainly.com/question/18276560

#SPJ2

Margo is practicing her free throws for basketball
tryouts. To make the team she has to make at least
80% of her free throws. How many free throws does
she have to make if she attempts 20 shots?

Answers

Answer:

16

Step-by-step explanation:

Well if you think about it, if she has a total of 10 attempts she has to make 8 of them to make it on the team. Now the total attempts is double so we double the number of throws she needs to make in order to make the team so to do this we would do 8*2 which is 16. She needs to make 16 throws to make it on the team.

express (x-6)^2 as a trinomial in standard form

Answers

Answer:

Step-by-step explanation:

(x - 6)(x -6) = x^2 - 6x - 6x + 36 = x^2 - 12x + 36

Answer:

x^2-12x+36

Step-by-step explanation:

like that or a different way

help me pleaseeeeee!!!!!

Answers

Answer:

The triangle is an isosceles triangle

Isosceles. In geometry, an isosceles triangle is a triangle that has two sides of equal length. The lines indicate that the two sides are equal.

Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?

Answers

I think it would be 1,218.75
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