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

Please help me, i am honestly confused, its about 1am, and i rlly, rlly need help

Answers

y=2

There is no slope because the y value stays constant. When the table is graphed, it is a horizontal line at 2. I hope this helps!

Plz help due tomorrow

Answers

Grapes is 6.57 bananas are 1.77 pears are 4.47 and altogether they are 12.81

please help, and i will make you BRAINLIEST

If x = 9, solve this equation: 28 - 2x = __________?

Answers

Answer:

10

Step-by-step explanation:

28-2(9)=?

28-18=10

10, 2 x 9 = 18
28-18 = 10
good luck !

please HELP
what are the two angles called​

Answers

Answer:

The angles are supplementary.  

Step-by-step explanation:

Both angles lie on a straight line.  When two angles are right next to each other on a straight line, then they add up to 180...therefore they are supplementary.

Hope this helps!! :D

What are integers?
Please give your best explanation and a simple example (worth 20 points)

Answers

ExplanationWhat is Integer?

Integer is a subset of Real Number. It can be broken into these following:

Positive IntegerZeroNegative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

Integers are like Natural or Counting Numbers except they have 0 and negative numbers.

Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

Integers are whole numbers with a positive or negative counterparts.

If that doesn't make sense let me make some examples

-4, 100, 9300 would be integers. Using my definition they all have negative or positive counterparts.

-2.3, 7.8888(etc.) 2/3 would not be integers. Even though -2.3 and 7.8888(etc.) have negative/ positive counterparts they are not whole numbers.

Hope that helped!

PLZZZ HELP ME!
help me

Answers

Answer:

1. 1/3

2. 4/9

3. 5/8

Step-by-step explanation:

1. 3/6 - 1/6 = 2/6 = 1/3

2. 7/9 - 3/9 = 4/9

3. 7/8 - 2/8 = 5/8

What is the least number of bills Sean could use to make $40

Answers

Answer:

2 bills (20 and 20)

Step-by-step explanation:

There is no $40 bill, so 2 is the least number you can use to make 40$, which would be 20 and 20

Answer:

2

Step-by-step explanation:

2, $20 bills?

Damaris owns a small business and is hiring a staff of employees. Each full-time employee
will be paid a yearly salary of $32,000. Each part-time employee will be paid a yearly salary
of $15,000. Damaris has $245,000 allocated for employees' yearly salaries. If Damaris hires
5 part-time employees how many full-time employees can she afford to hire?

Answers

Answer: 5

Step-by-step explanation:

5x15,000=75,000

245,000-75,000=170,000

170,000\32,000=5.3125

She's able to hire 5 part-time employees

can someone help with my quyestion, its on the image

Answers

Maybe the first option....
First one it’s have to be on the negative 1

Is y=-3/4x + 8 linear?

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Find the solution to the system of equations. y= 2x + 3 (-1, [?]) ​

Answers

Answer:

(-1, 1)

Step-by-step explanation:

plug in -1 for x

y = 2(-1) + 3

y = -2 + 3

y = 1

(-1, 1)

somebody please help i don't understand this. I'd really appreciate it. and please don't steal points :) . i will mark you brainliest. ​

Answers

Answer:

1) You think of G(x) as x, so you plug it in. So, f(x) = [tex]-2^{2}[/tex] - 2, which is 4 - 2, which is 2.

3) Y = 1

I think, I'm not 100% sure--

help meee 50 points explain ALL OF IT

Answers

Answer:

2

=3

Step-by-step explanation:

yes

Is the equation y=3x in slope-intercept form? Explain. The equation y=3x in slope-intercept form. Question 2 The slope is and the y-intercept is a .

Answers

Given:

The given equation is

[tex]y=3x[/tex]

To find:

Whether the given equation is in the slope intercept form or not, then find the slope and y-intercept.

Solution:

Slope intercept form of a linear function is

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=3x[/tex]    

It can be written as

[tex]y=3x+0[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]m=3,b=0[/tex]

Therefore, the given equations is in slope intercept form. The slope of the line is 3 and the y-intercept is 0.

Find the slope of the line through each pair of points (13,-15) (5,5)

Answers

Answer:-2.5

Step-by-step explanation:

The slope is -2.5

A $95 graphing calculator is on sale for $85.50.

The percent decrease is _____.

9%
1%
10%
9.5%

Answers

The answer is 10 percent

Answer:

10%

Step-by-step explanation:

moo

Tom gets paid $12 for every lawn he mows. The amount of
money he earns depends on the number of lawns he
mows.
Which is the dependent variable, and which is the independent variable?
A. The dependent variable is the amount of money he earns, and the
independent variable is the area of the lawn.
B. The dependent variable is the number of lawns he mows, and the
independent variable is the amount of money he earns
C. The dependent variable is the amount of money he earns, and the
independent variable is the number of lawns he mows
D. The dependent variable is the area of the lawn, and the
independent variable is the amount of money he earns

Answers

C is the correct answerThe amount of money depends on how many lawns he mows.Please let me know if I am wrong.

Answer:

C: The dependent variable is the amount of money he earns, and the

independent variable is the number of lawns he mows

Step-by-step explanation: Just took the test

Work out
a) 4 1/3 × 6
b) 2 3/5 × 3 1/3 ​

Answers

Answer:

1. 26

2. 8 2/3

Step-by-step explanation:

4 1/3 x 6 = 13/3 x 6 = 78/3 = 26

2 3/5 x 3 1/3 = 13/5 x 10/3 = 130/15 = 8 2/3

Answer:

41/3 x 6 =  82

2 3/5 x 3 1/3=86.7

Step-by-step explanation:

Explain the power of products property and give an example

Answers

Answer:

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

3 raised to the power of 4 is = 81

pls help:(...........———

Answers

Answer:

Just for points sorry

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

6+12+14=32

Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Luciana is adding $9$ gallons of water each minute.

Which equation represents the total number of gallons of water in the pool, $w$ , after Luciana adds water for $m$ number of minutes?

Answers

Answer:

T(m) = 12,000 gallons + (9 gallons/ minute)m

Step-by-step explanation:

This is a linear function with beginning value 12,000 gallons and unit rate of increase 9 gallons/minute:

T(m) = 12,000 gallons + (9 gallons/ minute)m

PS:  Please don't use " $ " to set off numbers.  Not needed!

4(x+3)=8 whats is the value of x value

Answers

Answer:

-1

Step-by-step explanation:

4(x+3)=8

4x+12=8

    -12   -12

4x=-4

x=-1

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4(x + 3) = 8}\\\mathsf{\rightarrow 4(1x + 3) = 8}\\\mathsf{\rightarrow 4(x) + 4(3) = 8}\\\mathsf{\rightarrow 4(1x) + 4(3) = 8}\\\mathsf{\rightarrow 4x + 12 = 8}\\\\\large\text{SUBTRACT 8 to BOTH SIDES}\\\mathsf{\rightarrow 4x + 12 - 12 = 8 - 12}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{\rightarrow 4x = 8 - 12}\\\mathsf{\rightarrow 4x = -4}\\\\\large\text{DIVIDE 4 to BOTH SIDES}\\\mathsf{\rightarrow \dfrac{4x}{4}= \dfrac{-4}{4}}[/tex]

[tex]\large\text{SIMPLIFY IT!}\\\mathsf{\rightarrow x = \dfrac{-4}{4}}\\\mathsf{\rightarrow x = -1}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -1}}}\huge\checkmark[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Guillermo bought some reams of paper for $10 each and a $100 printer. He spent a total of $450. Write and solve an equation to find the number of reams of paper Guillermo purchased.

Answers

Answer:

x = amount of paper

10x + 100 = 450

10x = 350

x = 35

Brainiest plz :)

Can someone help solve this please

Answers

Answer:

X=1

Step-by-step explanation:

isolate the variable by dividing each side by 5

Please help I will mark brainiest ✅

Answers

Answer:

y=-2x-3

the line is going downwards which makes the slop a negative value

Step-by-step explanation:

Does y=-2x represent a function

Answers

yeah
.......................

What is the measure of <1?
A. 50
B. 60
C. 80
D. 100

Answers

Answer:

Your answer already :) aka 50 degrees

Step-by-step explanation:

The next two angles are the same so just do 180-80 (100) then 100/2 and get 50 :]

Answer:

A 50º

Step-by-step explanation:

sum of the interior angle of a triangle = 180º

⦣1 = ⦣2

⦣1 and⦣2 = 180º - 80º = 100º

100º/2 = 50º

A company that manufactures memory chips for digital cameras used the formula c= 126\root(3)(n^(2))+ 1257 to determine the cost c, in dollars, of producing n chips. How much will it cost to produce 230 chips?

Answers

My good sir it would cost 2$

please help, ill give you brainly :)

Answers

1 the answer is e
2 the answer is c
3 the answer is d
4 the answer is a
5 the answer is b

50 POINTS! Is the relationship shown by the data linear? If so, model the data with an equation.
The relationship is not linear.
The relationship is linear; y + 4 = 2(x – 1).
The relationship is linear; y – 1 = –2(x + 4).
The relationship is linear;y+4=-1/2(x-1)

Answers

Answer:

The relationship is not linear.

Step-by-step explanation:

Answer:

Where is the picture to model the data?

Step-by-step explanation:

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