A new savings account is opened with 400 and gains 3% every year.what is the exponential function?

Answers

Answer 1

Answer:

Exponential function is:

y = 100 (1.03)ˣ

Step-by-step explanation:

We know that the exponential growth function is of the form

y = a (1 + r)ˣ

Here:

a = initial value

r = growth rate

x = number of time intervals that have passed

Given that A new savings account is opened with 400. Thus,

a = 400

Given that a new saving account gains 3% every year.

r = 3% = 0.03

now substituting a = 400 and r = 0.03 in the function

y = a (1 + r)ˣ

y = 100 (1 + 0.03)ˣ

y = 100 (1.03)ˣ

Therefore, exponential function is:

y = 100 (1.03)ˣ

Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.


Related Questions

Will mark as brainiest.
Average Cost: It costs a manufacturing company $8 to produce one can of paint. If the initial investment in the production line was 50,000, how many cans of paint must be produced before the average cost per can falls to $10?

Answers

Answer: let

x = # cans produced

fixed cost = $50,000

variable cost = $8/can

Step-by-step explanation: I am ultimate pro at this

1 1. What is the solution to a system where the graph of both lines are the same?

Answers

parallel lines???????

I need to solve 6 2/3-21/6

Answers

Step-by-step explanation:

62/3-21

62/18=0.290

290/6

Divide it

1/2 x 1/7? Pls help me!!!!

Answers

Answer:

0.07142857142

Step-by-step explanation:

1/14
Is the answer,your welcome

If water flows out of a faucet at 500 L per hour, how long will it take for 20 L to come out of the faucet?

Answers

Answer:

2 hr

Step-by-step explanation:

Please help with this question.

Answers

Answer:

m∠M = 47°

m∠R =  124°

Step-by-step explanation:

HOME = TRAP

Judging buy the picture there is only one corner that sticks out compared to the rest of the angles. Meaning that A and M are the same because they are the only angles that are easily identical to each other. Then match the letters using this information

m∠A = m∠M

m∠R = m∠O

m∠T = m∠H

m∠P = m∠E

Now all you need to find is m∠R and m∠M

m∠A = m∠M means m∠M = 47° since m∠A is 47°

Same concept goes for m∠R = m∠O.

NEED HELP!!
the graph shows the volume of oil in a tank at time t seconds

Answers

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The gradient of the graph is 2.5The gradient shows rate of oil in the tankThe value represents the amount of liquid in the tank.What eos the do graph tell?

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

brainly.com/question/14323743

How to solve mentally

Answers

Step-by-step explanation:

1.The "9-trick".To add 9 to any number, first add 10 and then subtract 1

2.Double +1

3.use adittion facts when adding bigger number.

4.subtract by adding

5.five times a number

6.four and eight times a number

7.multiply in parts

im good in math

simplify h + h + h , I really need help

Answers

3h

Explanation:

Add them

Answer: The answer is 3h

Step-by-step explanation:

18) Which of the following situations can be represented by a
proportional relationship?
A. David has $100 in his savings account and adds $5
per week.
B. The initial fee for a website is $60 and $44 per month
to maintain the website.
C. The cost to rent a beach house is a $200 deposit and
$400 per night.
D. Linda earned $8.00 per hour at her summer job.

Answers

D. Linda earned $8.00 per hour at her summer job.

You can text 44 words in 1 minute. Write a proportion to help you find
how many words you can type in 4 minutes. Which choice sets up the
proportion correctly and has the correct solution?

Answers

Answer:

176 words

Step-by-step explanation:

1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:

44 words = x

1 minutes = 4 minutes

2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.

3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!

4) multiplying 44 by 4 would get us our answer which is 176

im not the best at math but i this explanation helped <33

Help pls....... yall I need help!!!!

Answers

Answer:

the first one is c and the second one is b

1. Second answer
2.55
3.2x2x2x2x2
4.36
5.52

Find the length of an altitude of an equilateral triangle with sides of 4 cm.

Answers

Answer:

c.

Step-by-step explanation:

Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.

Solve
S = 2πr(h + r) for h

Answers

Answer:

S/2πr-r = h

Step-by-step explanation:

S = 2πr(h + r)

S/2πr = h+r

S/2πr - r = h

Write a rule for the linear function in the table.



f(x) = 4x + 3



f(x) = –4x – 3



f(x) = x + 3



f(x) = [tex]\frac{1}{4}[/tex]x +3

Answers

Answer:  I would go with A. f(x) = 4x + 3

Nothing further can be done with this topic. Please check the expression entered or try another topic.

f ( x ) = 4 x + 3 ,     f ( x ) = − 4 x − 3 ,     f (x ) = x + 3 ,     f ( x ) = x + 3

Step-by-step explanation:  Set up the composite function and evaluate.

f ( 4 x + 3 ) = 16 x + 15

Graph.

f ( x ) = 4 x + 3

f ( x ) = − 4 x − 3

f ( x ) = x + 3

f ( x ) = x + 3

Which graph represents the transformation of a translation right 3 and up 2?

Answers

Answer:

there isn't a graph

Step-by-step explanation:

it cut it off but it says let h represent the cost of each hotdog !! please help ​

Answers

Answer:

the the answer is

5(2h+d)

A student answers 75% of the questions on a math exam correctly.If he answers 15 questions correctly,how many questions are on the exam

Answers

Answer:

20

Step-by-step explanation:

(4n⁴-8n+4) - (8n²+4n⁴+1)
How do I simplify this expression?

Answers

Answer:

-4n^4-4n^2-8n+3

Step-by-step explanation:

you combine the like terms

PLS HURRY! RIGHT ANSWER EARNS BRANLIEST
Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?

Answers

Answer:

B

Step-by-step explanation:

Makes the most sense

Answer: B

Step-by-step explanation:x>-6

a rectangle has sides measuring (3x + 5) units and (6x + 11) units

Answers

Answer:

Part A: 18x^2+63x+55, B: second degree trinomial, Part c: (3x+5) (6x+11) =18x^2+63x+55

c/2 = negative 3
pls helppp

Answers

Answer:

c=  -6

Step-by-step explanation:

I hoped this helped!

Correct me if I'm wrong!

How much does a bracelet with three charms cost?

Answers

Answer:

65 + 25(3)

65 + 75

140

Step-by-step explanation:

Answer:

$140

65+25+25+25=140

PLZ HELP ITS VERY VERY VERY DUE

Answers

Answer:

The desktop computers will cost 2,850 and the notebook computers will cost 4,875 and if someone got n notebooks and d desktops it will cost m money

Step-by-step explanation:

hope this helps

qwertyuiopasdfghjklzxcvbnm

Bir sınıftaki erkekletin sayısının kızların sayısına oranı 3 bölü 4 tür . sınıftaki kız öğrencilerin sayısı 12 ise erkek oğrencilerin sayısı kaçtır​

Answers

Answer:

Ha?what do you mean ba? Jjsjsjsjjsjs

Answer:

what did you say???????

PLEASE HELP
Chipotle Burritos are normal distributed with a mean length of 200mm and a standard deviation of 8mm. What is the probability that a burito picked at random is shorter than 190mm?

Answers

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Benjamin uses a $20 bill to pay for his lunch. He received more than $5 in change. Which number line shows the possible cost of Benjamin's lunch?

Answers

YUHHHHHHHHHHHHHHHHHHHHHH

Are the lines parallel? y = x + 4 and y = x - 2 *

1. yes, they have the same slope and a different y-intercept

2. no, they are not parallel

Answers

Yes, everything in #1 is correct. You can test this by drawing it quickly in a sketch

right answer gets brainliest please help due in 10min ​

Answers

Answer:

A

Step-by-step explanation:

its 5.5 an hour and the cost is 15 at the start

find the common difference for the arithmetic sequence 33 39 45

Answers

Answer:

positive 6 is the change in the sequence

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