You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.

Answers

Answer 1

Answer:

f(x)=.65+y

Step-by-step explanation:

               .

Answer 2

The function for compound interest is A = 500 ( 1.065 )ˣ

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the compound interest amount be represented as A

Now , the interest rate r = 6.5 %

The number of times the interest is applied = yearly

The principal amount P = $ 500

n = 1 ( compounded yearly )

t = x ( number of years )

So, the function that represents the balance y (in dollars) after x years is:

y ( x ) = 500 ( 1 + 0.065/1 )ˣ

On simplifying , we get

y ( x ) = 500 ( 1.065 )ˣ

Hence , the function is A = 500 ( 1.065 )ˣ

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Related Questions

A fish tank has 45 gallons of water in it. If it is 90% full, what is the full capacity of the fish tank? The fish tank can hold gallons of water when full to capacity.​

Answers

the answer is 50 gallons because 45 gallons is 90% of 50 gallons

Answer:

My answer is 55 or 60  which would be 100%

Step-by-step explanation:

A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60​, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.

Answers

A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60​, the result is 212 comma 469 square kilometers. determine whether this result is a statistic or a parameter.
Answer: Before solving the given question, let us understand what the parameter and statistic is:
Parameter: Parameter is a number that summarizes data for an entire population. Like Population mean Population standard deviation
Statistic: Statistic is a number that summarizes data for a sample. Like sample mean sample standard deviation .
From the given information, we can clearly see that given characteristic describes the population.
Therefore, the option d is correct
d. the result is a parameter because it describes some characteristic of a population. is correct.

Explanation: https://brainly.com/question/10888941

Which properties were used to prove that the expressions 7x+4-x-2 and 6x+2 are equivalent?

Answers

Answer:

12

Step-by-step explanation:

12

Hey please help me please

Answers

Answer:

c

Step-by-step explanation:

360 is a full rotation and 90 is a quarter

Answer: C

Step-by-step explanation:

X + 35 = 5 so X + ?

Answers

Answer:

x = -30

-30 + 35 = 5

Step-by-step explanation:

Help I have a math assignment due by 11:59 pm and I’m stuck!

Answers

Answer:

answer C: 140 cm

Step-by-step explanation:

If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm

By find how high the water would be after 20 seconds, you would find out much height is increasing each second.

21 - 4 = 7

28 - 21 = 7

35 - 35 = 7, and so forth.

So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.

2 --> 14

3 --> 21

4 --> 28

5 --> 35

6 --> 42

7 --> 49

8 --> 56

9 --> 63

10 --> 70

11 --> 77

12 --> 84

13 --> 91

14 --> 98

15 --> 105

16 --> 112

17 --> 119

18 --> 126

19 --> 133

20 --> 140

Thus, after 20 seconds, the water's height would be c) 140 cm.

URGENT PLEASE HELP ASAP

Answers

AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO

15 points + brnlist , need help asap!!! (with a picture)

Answers

Answer:

C

Step-by-step explanation:

According to my calculations Its c

PLEASE HELP,, A home decorator is adding new flooring to a living room using the blueprint shown.



image



What are the actual length and width of the living room? Show your work.

A.
7ft, 6ft

B.
14 ft, 10ft

C.
10ft, 8ft

D.
20ft, 16ft

Answers

The answer is 10 and 8 feet I hope you do good on this

Answer: 20ft, 16ft

Step-by-step explanation:

Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)

HURRY PLEASE. 90 POINTS!! Find –(–8). –18, –8, 0, 8

Answers

what do you mean by find those numbers?

Answer:

Convert all numbers into either decimals, fractions, or percents.

0.8=0.8

8%=0.08

18%=0.18

1/8=0.125

8/18=0.445

0.08<0.125<0.18<0.445<0.8

Convert back to original

8%,1/8,18%,8/18,0.8

there's 4 that describe the same function

Answers

Answer:

A,B,C,E

Step-by-step explanation:

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

ABCE is the answer to the question

9) 5xy+10x ??????????????????

Answers

Answer:

5x(y+2)

Step-by-step explanation:

Answer:

You cannot add them because they both don't have the same like terms.

But if you just straight out add your answer would either be 15xy or just 15x

Step-by-step explanation:

Sorry hope this helped in someway

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is of a cubic unit and the base area is of a square unit, what is the height of the chest?

Answers

Complete question :

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic unit and the base area is 1/5 square unit, what is the height of the chest?

Answer:

1 1/24 units

Step-by-step explanation:

Volume of a rectangle prism:

Volume = Lenght * Width * Height

Base area = Length * width

Volume = Base area * Height

Volume = 5/24 unit³

Base area = 1/5 unit²

Plugging values into our formula :

5/24 = 1/5 * height

Divide both sides by 1/5

Height = 5/24 ÷ 1/5

Height = 5/24 * 5/1

Height = 25 / 24

Height = 1 1/24

= 1 1/24 units

Answer:

B. 1 1/24 units

Step-by-step explanation:

Answer the photo below thanks

Answers

Answer:

I think its D

Step-by-step explanation:

Determine if the lines are parallel, perpendicular or neither. Show all work.

x - 5y = 30 and 10y = 2x + 90

Answers

Answer:

The lines are parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the equations into slope-intercept form.

x-5y = 30 ⇒ y = ⅕x - 6

10y = 2x + 90 ⇒ y = ⅕x + 9

Both lines have slope = ⅕, so the lines are parallel.

Jada’s dog was 5 1/2 inches tall when it was a puppy. Now her dog is 14 1/2 inches taller than that. How tall is Jada’s dog now as a fraction?

Answers

Answer: 20 or 20/20

Step-by-step explanation: It equals a whole number.

Answer:

20/20

Step-by-step explanation:

so there is 5 1/2, you can add 14 1/2, 14 plus five equals 19, but you also have to add the two halves, which in total gives you 20/20.

I NEED THIS DONE ASAP PLS-

ok so i completely forgot how to do long division, and my hand writing sucks ik, sooo i need help pls! q-q

I SWEAR I WILL GIVE THE BRAINLY CROWN THINGY!! (and 20 points)

Answers

Answer:

you wrote that wrong cause ur answer is 0.01225490196

Step-by-step explanation:

Answer:

The answer is 321.6

Step-by-step explanation:

We have to go step by step when we are solving this.

Lets think of it like this

Does 25 go into 8? No! So lets put a 0 on the top (I see you already did that so good start)

Does 25 go into 80? Yes! How many times though? 3 times; So lets put a 3 on the top (Our top should look like 03) Since 25 goes into 80 3 times we need to multiply 25 and 3.  

25x3= 75 -> Subtract that 75 from 80

Now we have a remainder of 5. We are going to bring down the 4 so it can be a complete number, and now it would be 54.

Does 25 go into 54? Yes! How many times? 2 times; So lets put a 2 on the top (Our top should look like 032) Since 25 goes into 54 2 times we have to multiply 25 and 2.

25x2=50 -> subtract that 50 from 54 -> 54-50=4

Now we have a remainder of 4. Bring down the last number, 0 and now we should be with 40.

Does 25 go into 40? Yes! How many times? 1 time; therefore we will just be subtracting 25 from 40. (our top should look like 0321)

40-25= 15 -> we have a remainder of 15. 25 can't go into 15 because 15 is too small. Therefore we are going to have to make a decimal. So on the top add a decimal after 1 and bring down an invisible 0. (Our top looks like this 0321.)

Does 25 go into 150? Yes! How many times? 6 times; so lets multiply 25 and 6 and then subtract that from our 150 that is down there.

25*6= 150

150-150= 0

THAT MEANSSSSS..... our answer is 321.6! P.S yes drop that 0!

Hopefully this helped

1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)

Answers

Answer:

A. Yup. A.

Step-by-step explanation:

this is the other post, ill give brainlist to the best answer.

Answers

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

Jimmy's school is selling tickets to the annual dance
competition. On the first day of ticket sales
the school sold 6 adult tickets and 4 child tickets for a
total of $88. The school took in $186 on
the second day by selling 12 adult tickets and 9 child
tickets. Find the price of an adult ticket and
the price of a child ticket.

Answers

a= adult ticket c=child ticket
1. 6a+4c=88
12a+9c=186
2. so you need to multiply the top number by -2 so you can cancel out the 12a
-2(6a+4c=88)=. -12a-8c=-176
3. then you add them all together
12a+9c=186
-12a-8c=-176
——————————-
c=10
4. now you have to find ‘a’
6a+4(10)=88
6a+40=88
-40. -40
6a=48
divide both sides by 6
a=8
And your final answer should be (8,10)
hoped this helped:)



How many fluid ounces are in 1 quart? With work!

Answers

Answer: 32 fluid ounce = 1 quart

Hey I'm sorry. I don't know if there are any work to show for this but I will try.

1 quart=2pints

2pints=4cups

4cups=32 fl oz

This is all the work I could show for this problem, you really should memorize this though 32 fl oz in a quart, it is very useful real life information :)

I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!

Answers

I will do the first example, by explaining how to graph it. Then you can do the second example.

[tex]f(x) = x^3-10x^2+28x-24[/tex]

We start by determining the the x-intercepts, by letting y = 0:

[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]

The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:

[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]

So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :

[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]

Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :

[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]

x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:

[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]

Minimum: (14/3, -256/27)

Graph is in the attachment below -

Bir sayının 2 bölü 5 'sinin 3 eksiği, bu sayının çeyreğine eşittir.
Buna göre bu sayı kaçtır? ​

Answers

Answer:

si cardo bahyanbayansusb

can someone please help?? what’s the measure of the vertex angle

Answers

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

At a sale, coats were sold for 82% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?

Answers

164

Step-by-step explanation:

The solution is,  a coat cost on sale =  $164.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

At a sale, coats were sold for 82% of their original price.

If the coats originally cost $200 each,

so, a coat cost on sale = $200* 82%

                                     =$164

Hence, The solution is,  a coat cost on sale =  $164.

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A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate

Answers

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]

So,

Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]

Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]

Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato

Answers

Answer: what is the question

Step-by-step explanation:

AKAJAXOSPAPXODAOAPA HELP

Answers

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

Which expression is represented by the model below?

2 bars are shown next to each other and each bar is labeled

A.
8
×
2
3
B.
3
×
2
8
C.
8
×
3
2
D.
2
×
3
8

Answers

Answer

its d

Step-by-step explanation:

The expression that is represented by the model below is -

y = 2 x 3/8.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given are two labelled bars shown next to each other and each bar.

3 of the 8 bars are colored. Using fraction, we can represent it as -

{f} = 3/8

There are two such bars, so we can write -

y = 2{f}

y = 2 x 3/8

Therefore, the expression that is represented by the model below is -

y = 2 x 3/8.

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What is -2 1/3 - (-5)?

Answers

Answer: =2  2/ 3

Step-by-step explanation:

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