Julian opened a college savings account. The amount of money in his account can be calculated using the function C(t) = 500(1.03)t, where t represents the time in years since the initial deposit. What does the value 500 represent in the function?

a
The amount of money in Julian's account after one year

b
The amount of interest Julian will earn each year

c
The amount of money for Julian's initial deposit

d
The maximum amount of money Julian can earn in his account

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

The value 500 represent the option C. The amount of money for Julian's initial deposit.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that, Julian opened a college savings account.

The amount of money in his account can be calculated using the function,

C(t) = 500 (1.03)^t.

Here t is the time in years since the initial deposit.

When t = 0,

C(0) = 500 (1.03)^0

       = 500 × 1    (since any number x⁰ = 1)

       = 500

So the deposit at t = 0 means the initial deposit.

So 500 is the initial deposit.

Hence 500 represents the initial deposit amount.

Learn more about Exponential Functions here :

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Related Questions

can you guys help me?​

Answers

Answer:

Step-by-step explanation:

1. y = 2x

       y = 2*4 = 8  Checks, therefore

y = 20  for x = 10

2. y = 3x

       y = 3*(0.3) = 0.9  Checks, therefore:

y =  3*(1.5) = 4.5  

       y = 3*

3. y = 5/x

       y = 5/(1/2) = 10  Checks, therefore:

       3 = 5/x

x = 5/3

4 v = wu

7*3 = 21  Checks, therefore:

v =  (3/4)*(6) = (18/4) = (9/2)

v = (2/3)wu

v = (2/3)*7*3 = 14 Checks

5 m = Kn/p  [Add the K as a constant that will make m = Knp true at some value of K]

9 = K*2/(1/3)

27 = (K*2)

27 = 2K

K = (3/2)

       m = (3/2) (n/p)

       m = (3/2)*((1/2)/(1/3))

        m = (3/2)*(3/2)

        m = 1

   

1/2 mile in 1/16 an hour.what is its rate in miles per hour

Answers

Answer:

Step-by-step explanation:

Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph

But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.

Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.

You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:

Keep Change Flip

1/2 Keep

___ Change

1/16 Flip

Keep the 1/2

Change ÷ to *

Flip the 1/16

So it becomes 1/2* 16/1

1/2 * 16 is 8

8 miles per hour is your answer.

If fractions are too terrifying, you could just change 1/2 to .5 and

change 1/16 to .0625

.5 ÷ .0625= 8

Answer: 8mph

I need help please:(

Answers

Answer: times

Step-by-step explanation:

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?
(u + 2)2 + 5(u + 2) – 6 = 0 where u = (x – 2)
u2 + 4 + 5u – 6 = 0 where u = (x – 2)
u2 + 5u – 6 = 0 where u = (x + 2)
u2 + u – 6 = 0 where u = (x + 2)

Answers

Answer:

we have

(x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Let

u=(x+2)u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0

therefore

the answer is

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

root 2×root5
[tex] \sqrt{2 \times \sqrt{5 = } } [/tex]how much???
​​​

Answers

Answer:

[tex] \sqrt[4]{20 {x}^{2} } [/tex]

Step-by-step explanation:

[tex] \sqrt{2x \sqrt{5} } \\ \\ \sqrt{2 \sqrt{5x} } \\ \\ \sqrt{ \sqrt{(2 {x}^{2} )} \sqrt{5} } \\ \\ \sqrt{ \sqrt{4 {x}^{2} } \times 5} \\ \\ \sqrt{ \sqrt{20 {x}^{2} } } \\ \\ \sqrt[4]{20 {x}^{2} } [/tex]

The ratio of boys to girls at a monster truck rally is 4:3. Create a ratio table with examples of how many boys and girls could be at the rally?

Answers

4:3

8:6

12:9

16:12

20:15

24:18

28:21

PLEASE HELP!!!



46√2 simplified radical form

Answers

The answer is No answer decimal

1/3 times 3/4 times 1/3 as a fraction so basically what is 0.08333333333 as a fraction

Answers

Answer:

mark me brainliest

Step-by-step explanation:

To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000

And finally we have:

0.08333333333 as a fraction equals 8333333333/100000000000

Answer:

Step-by-step explanation:

Its 1×3×1 on top And 3×4×3 on the bottom. That is 3/36, but simplify it...that's 1/12 if you answer has a one on top, you could take your .08333 and use the x^-1 button on your calculator. Also there are calculators that do fraction to decimal and decimal to fraction conversions. They have buttons like F>D and D>F

Fd meaning in microsift

Answers

Answer:

FD = Forced Deal

It is verified whenever you divide by 0 on a Enigma from 1942.

Answer:

/Fd (Program Database File Name) | Microsoft Docs. Documentation. Shows. Events.

Step-by-step explanation:

Find the ratio of the following is175and210​

Answers

Answer:

5:6

Step-by-step explanation:

175/210

Divide both sides by 5

175/5 : 210/5

35 : 42

Divide both sides by 7

35/7 : 42/7

5 : 6

The ratio of 175 and 210 in its simplest form is; 5:6

What Is a ratio

A ratio is the simplest form to which the quotient of two numbers can be represented.

The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.

Their HCF is 35;

Hence, the ratio of 175 and 210 is ; 5:6

Read more on ratios;

https://brainly.com/question/13513438

The focus of the parabola -40x = y2 is:

(-10, 0)
(0, -10)
(0, 10)
(10, 0)

Answers

Answer:

Option A: (-10,0)

Step-by-step explanation:

The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].

Can someone pls help like plss

Answers

Answer:

-32r+3

Step-by-step explanation:

You have to combine -9r+2r-5r-20r, orrrr…

you can remove the variables and solve:

[tex]-9+2-5-20=\\ -32[/tex]

then add the variable back,

[tex]-32r[/tex]

since the +3 has no variable, you can’t add it to -32r

so…

you have to add it to the equation as a separate term:

[tex]-32r+3[/tex]

hope this helps!

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeee ty :)

Answers

Answer:Our equation is y = 2x/3 - 1.Step-by-step explanation:

We know the equation.

=> y = mx + b

We also know the y-intercept is -1.

=> y = mx - 1

All we need to do now is to find the slope. We know the slope formula.

=> Rise/Run = Slope=> 4/6 = Slope=> 2/3 = SlopeConclusion:

Therefore, our equation is y = 2x/3 - 1

Hoped this helped.

[tex]BrainiacUser1357[/tex]

I need this question done please it’s the one circled

Answers

Answer:

i think 2

Step-by-step explanation:

65km ÷ x = 6 1/2km×5

65÷x = 6 1/2×5

65÷x = 13/2 ×5

65÷x = 65÷2

x = 2

so 2 is answer

answer

2

let the unknown number be x

65/x=6+1/2*5

65/x=13/2*5

65/x=65/2

65/x=32.5

x*32.5=65

x*32.5/32.5=65/32.5

x=2

Find the volume of the sphere. Use 3.14 for pi please help..

Answers

Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.

Answer:

V≈1.44×106

Step-by-step explanation:

hope this helps

the forces opposing the expansion of the universe are due to

Answers

The forces opposing the expansion of the universe are due to the gravitation interaction.

Hope it helped.

you roll a die 100 times and a six shows up 74 times out of 100. based on these outcomes, what is the estimated probability that the next roll shows up as a six?

Answers

It is 74% or 74 by 100 or 0.74

Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm. (Plus could you tell me which sides i can use for starting the diagram) please help me before tmrw

Answers

Answer:

  see attached

Step-by-step explanation:

I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.

Which expression is equivalent to the following complex fraction? 2 minus StartFraction 1 Over y EndFraction divided by 3 StartFraction 1 Over y EndFraction.

Answers

The equivalent fraction to the given complex fraction is  [tex]\frac{2y-1}{3y+1}[/tex].

Given expression,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex]

We have to find the equivalent fraction of    [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex] .

On solving,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }[/tex]

Eliminating y from numerator and denominator we get,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }[/tex]

Hence the required expression is    [tex]\frac{2y-1}{3y+1}[/tex].

For more details follow the link:

https://brainly.com/question/17912

Answer:

The answer is D :)

Step-by-step explanation:

2y-1/3y+1

[tex]\sqrt{3} sinx+cosx=2[/tex]

Answers

Answer:

Solution is in the photo

It is 8 a.m. and the animals are waking up. In exactly 5 minutes. Sarah will chirp. Sarah will then chirp every 5 minutes until 10 a.m.! To make matters worse, in exactly 13 minutes, Alex will chirp. Alex will then chirp every 13 minutes until 10 a.m.! How many times will both of them be making noise at exactly the same time? Explain how you solved it

Answers

Answer:

Once.

Step-by-step explanation:

To find when they chirp together, we must find the LCM of the two numbers. The LCM, or least common multiple of 13 and 5 is 65. Therefore, after 65 minutes is the first time they chirp together. Then we can multiply 65 by 2 to see if they chirp a second time. 65x2 is 130, but 8AM-10AM is only 120 minutes, therefore they do not chirp together more than 1 time.

what the top guy said was right

hoped that helped:P

I need help please it’s for school

Answers

From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.

Where is the Santa Clause's residence?

The residence of Santa Clause is popularly known as the North Pole.

According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km

Learn more about London in: https://brainly.com/question/7416097

A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?


Suppose sales would double. What would be true about the commission?

Answers

Answer:

3,120

Step-by-step explanation:

hope it will help you

use the mutipler method to increase £88 by 14%

Answers

Answer:

£100.32

Step-by-step explanation:

An increase of 14% on the original amount (100%) is

100 + 14 = 114% = [tex]\frac{114}{100}[/tex] = 1.14 , then

£88 × 1.14 = £100.32

Select “Rational” or “Irrational” to classify each number.

Answers

1. rational 2. irrational 3. irrational 4. rational

The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base

Answers

Step-by-step explanation:

V epual to L x W x H

9.6cm x 0.8cm

9.6

x 0.8

46

Answer:

12 cm

Step-by-step explanation:

[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]

describes one way in which the environment's physical characteristics affected colonial economic activities?

Answers

Answer:

Existence of rivers is used as water sources method of distribution

 Existence of resources for material.

Step-by-step explanation:

Hope it helps. Sorry if it's wrong.

Need help on HS geometry

Answers

Answer:

See below

Step-by-step explanation:

AB is a midsegment.

Property of the midsegment is midsegment is half the length of the parallel side of the triangle:

2AB = 88AB = 44

And

3x - 4 = 443x = 48x = 16

1.

Solve using traditional division: 7,925 divided by 25.

Answers

It’s 317 I know that bc I got it right when I had that question

The ratio between an exterior angle and the interior angle of a regular polygon is 1: 3. Find the number of sides of that polygon. Please help D:

Answers

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

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