Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential

Answers

Answer 1

Answer:

(4) exponential

Step-by-step explanation:

According to given, the function is:

A = P(1 + r)ⁿ

or

A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰

This is an exponential relationship

Correct choice is (4)

Answer 2

To determine the money Eric will have in his bank account, he needs to use an exponential function.

What is a compound interest?

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.

Here, S = sum of money after the total period of investment.

P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.

Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3

Hence, after 10 years, Eric will have $705.3 in his bank account.

Learn more about compound interest here: https://brainly.com/question/25857212

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Related Questions

What number does this Roman numeral represent? MCCLXXXVIII

Answers

Answer:

1280 is the answer. hope it helps you

When the marked price and selling price after discount are given write the formula to find the rate of discount.

Answers

Step-by-step explanation:

marked price = 100%

1% = 100%/100 = marked price / 100

discount = marked price - selling price

discount % = discount / 1% =

= (marked price - selling price) / (marked price)/100 =

= 100×(marked price - selling price) / (marked price)

Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?

Answers

Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2   hope this helps

Anyone can help me please angone

Answers

Answer:

x is 154 degrees

Step-by-step explanation:

If a line cuts through a set of parallel lines, it is called a transversal.

x and the angle next to 26 degree angle would be corresponding angles.

If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees

x+26 = 180

x = 180-26

x = 154

What are the x and y -intercepts for the equation 5x - 4y = 10

Answers

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

Answer:

x=2, y=-5/2

Step-by-step explanation:

to find the 'x' intercept, set the 'y' value to zero and solve:

5x - 4(0) = 10

5x = 10

x = 2

to find the 'y' intercept, set the 'x' value to zero and solve:

x(0) - 4y = 10

-4y = 10

y = -10/4 or -5/2


The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm

Answers

Answer:

7.9

Step-by-step explanation:

Volume = side · side · side

∛496 = 7.915783219

answer please answer please

Answers

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

Please solve this math problem... I will mark you brainliest

Answers

The answer would be x = 45 and y = 15. This is because congruent sides have congruent angles. If this is the case, you can fill in your triangle like this. All three sides of a triangle add up to 180 degrees. So, you set up your equation like this. Now you should have two different equations that add up to 180. Using the elimination method, you can solve this double variable equation. You can solve for any variable first but here I choose x. Now that you found x, you can substitute it back into one of your original equation to find y. I hope it helps!

The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.

Answers

Answer:

the answer would be 196.25

Step-by-step explanation:

A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds

Answers

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

https://brainly.com/question/19979064

l=3cm×b=4cm×h=2cm
Can u pls help​

Answers

Answer:

24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm

Step-by-step explanation:

3 x 4 x 2 = 12

Some friends played a board game. During the game, one unlucky player had to move 5 spaces 7 turns in a row. Find a number to represent that player’s movements for those 7 turns.

Answers

Answer:

The unlucky player moved 35 spaces after moving five spaces seven turns in a row.

Step-by-step explanation:

Our equation formed is: 7 x 5 = x

=> 7 x 5 = x

=> x = 35.

Therefore, the unlucky player moved 35 spaces.

A shirt is 20% off the sticker price of $34. How much is the discount?

Answers

Answer:

Step-by-step explanation:

you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)

It’s going to be 20%

Someone help, this is kinda boring...
I'll give brainliest if someone gives me the correct answer

Answers

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

What’s the answer for both questions?

Answers

Answer:

id

Step-by-step explanation:

h3elpppp pleaseeeehejejrhegss

Answers

Answer:

First is 1, then 2, then 10

Step-by-step explanation:

I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.

A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell

Answers

Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75

Let :

Pounds of mulch sold = mPounds of gravel sold = g

Pounds of Mulch sold :

(2.25/3.75) × 180 = 108 pounds

Pounds of gravel sold :

(1.5 / 3.75) × 180 = 72 pounds

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Learn more : https://brainly.com/question/25678498

Evaluate a + b + cd if a = 7/8 b = -7/16 and c= .8 d = 1/4 Write your answer as a fraction in simplest form.

Answers

Refer to the attachment

Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?

Answers

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^

During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?

Answers

Answer: it should be 70

Step-by-step explanation:

because the re adding of the dollars

$2079


1485 x 1.4 = 2079

A photo 5 inches wide and 8 inches long is enlarged. How long is the new photo if it is How wide is the new photo if it is (1)12 inches; (2)20 inches; (3)10 inchs

Answers

Answer:

1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches

Step-by-step explanation:

In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.

Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.

1) If the length is 12 inches, the width is 7.5 inches

[tex]\frac{5}{8} = \frac{x}{12}[/tex]

[tex]60=8x[/tex]

[tex]\frac{60}{8} =x[/tex]

[tex]7.5 = x[/tex]

2) If the length is 20 inches, the width is 12.5 inches

[tex]\frac{5}{8} = \frac{x}{20}[/tex]

[tex]100=8x[/tex]

[tex]\frac{100}{8} =x[/tex]

[tex]12.5 = x[/tex]

3) If the length is 10 inches, the width is 6.25 inches

[tex]\frac{5}{8} = \frac{x}{10}[/tex]

[tex]50=8x[/tex]

[tex]\frac{50}{8} =x[/tex]

[tex]6.25 = x[/tex]

someone help again please !!

Answers

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

Given that 2x/5=3y/8, find the ratio of X:y

Answers

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = - x + 6

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

who my fav celeb who ever can guess it close to the name gets brainest

Answers

Answer:

john cena

Step-by-step explanation:

i have no idea lol

Help Help Help Help Help Help

Answers

Answer:

∠ 1 = ∠ 3 = 52°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 128° = 180° ( subtract 128° from both sides )

∠ 3 = 52°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 52°

A new video streaming and renting company Webflix claims it is better than its competitors. They charge $3.00 per month plus $1.25 per rental of new movie releases. A close competitor refutes the claims of Webflix and stated that they are actually better than its competitors. Zulu charges $4.00 per month plus
$1.00 per rental of new movie releases.

a) If you rent 7 movies, which streaming service would cost more? Explain/show your reasoning

b) Write a system of equations representing the total costs of the two streaming companies based on x
movie rentals.

c) How many movie rentals would it take for the streaming services to cost the same? Explain/show
your reasoning

d) Make an argument on which streaming service is the better cost.

Answers

Answer:

A

Step-by-step explanation:

I I think that's the answer

which symbol would best replace the question mark below​

Answers

Answer:

C?

Step-by-step explanation:

The annual snowfall in city A is 45.8 inches. This is 14.2 inches more than 4 times the snowfall in city B. Find the annual snowfall for city B.

Answers

Answer: 7.9inches

Step-by-step explanation:

45.8-14.2=31.6

31.6/4=7.9

5x-3y=30
7x-3y=36
elimantion method

Answers

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

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