Jerry plans to begin saving money for a trip by putting $1 in a savings account the first month and then adding enough to double the amount in the account each following month. 1 I a. After he finishes contributing to the account, he will withdraw $500 to make a down payment on the trip. Create a function to show how much money will be in the account if he finishes contributing to the account after t months.​

Answers

Answer 1

Answer:

A=2*(t-1)-500

Step-by-step explanation:

I did it on study island.

Answer 2

Function representing the amount of money as per given condition in the account after [tex]t[/tex] months is equals to [tex]A= 2^{t-1} -500[/tex].

What is function?

" Function is defined as relation between variables is such that for each input value there exist one and only one output."

According to the question,

Given,

Amount in the account

Frist month [tex]= \$1[/tex]

                   [tex]= 2^{1-1}[/tex]

As per given condition,

second month [tex]= \$2[/tex]

                        [tex]= 2^{2-1}[/tex]

Third month  [tex]= \$4[/tex]

                     [tex]= 2^{3-1}[/tex]

.........

Amount in the account in [tex]'t'[/tex] months [tex]= 2^{t-1}[/tex]

Jerry withdraw  [tex]\$500[/tex] to make a down payment on the trip.

[tex]'A'[/tex] represents the total amount left in the account

Required function as per given condition,

[tex]A = 2^{t-1} -500[/tex]

Hence, function representing the amount of money as per given condition in the account after [tex]t[/tex] months is equals to [tex]A= 2^{t-1} -500[/tex].

Learn more about function here

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Related Questions

please help please i really need help

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Answer:

78

Step-by-step explanation:

help me with mine pls your smart

Don’t mind the check mark

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when moving things over the equation sign, you must switch the sign (positive or negative) they didn't switch it

Find the product of 3/5x15

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The answer for this is 9
Answer : 45/4 ( in decimal: 11.25)

solve for x, will give brainliest

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Answer:

123 degrees

Step-by-step explanation:

There are 150 trees in the park. Elm trees represent 40% of the trees in the park.


How many elm trees are in the park?

Answers

Answer:

375 trees, hope this help!

There are 60 Elm trees in the part

We are trying to find the part, which is the number of Elm trees given the percent of the Elm trees and the total amount of trees.

Part = Percent × Whole

Let x be the part

x = percent × whole

x = 0.40 × 150        (with changing the percent by dividing it by 100)

x = 60

help its really urgent

Answers

Answer:

QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.

Step-by-step explanation:

Its self explanatory  (just kidding dont know how to explain)


what is the number that is halfway between 2.9 and 3.6

Answers

Answer:

3.25

Step-by-step explanation:

[tex] \frac{2.9 + 3.6}{2} \\ \\ = \frac{6.5}{2} \\ \\ = 3.25[/tex]

Use the area model to write a fraction equivalent to
1/5

Answers

A fraction equivalent to 1/5 could be 2/10

First five terms?

a(1) = 7, a(n) = a(n - 1) - 3 for n ≥ 2

Answers

Answer:  7, 4, 1, -2, -5

=========================================================

Explanation:

The notation a(1) = 7 means that the first term is 7

The second term would be a(2) and so on.

To get a(2), we plug in n = 2 to find that...

a(n) = a(n-1) - 3

a(2) = a(2-1) - 3

a(2) = a(1) - 3

a(2) = 7 - 3

a(2) = 4

The second term is 4. We find this by subtracting 3 from the first term.

To get the third term, we repeat the same set of steps but now use n = 3

a(n) = a(n-1) - 3

a(3) = a(3-1) - 3

a(3) = a(2) - 3

a(3) = 4 - 3

a(3) = 1

This process is repeated as much as you want to generate as many terms as you want.

In short, you subtract 3 from each term to get the next term. This implies that we have an arithmetic sequence with starting term 7 and common difference -3.

So that's how we end up with the first five terms: 7, 4, 1, -2, -5

Zachary went to the store to buy some walnuts. The price per pound of the walnuts is
$5.25 per pound and he has a coupon for $3.25 off the final amount. With the
coupon, how much would Zachary have to pay to buy 3 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.

Cost of 3pounds:

Cost of p Pounds:

Answers

The answer is 12.50 and equation is y=5.25p -3.25

Can someone please help me with this

Answers

Answer:

7

Step-by-step explanation:

Multiply -8 and -3 and that would be 24 and you put that over 1 and then you have to have a common denominator which would be 4 and multiply that by 24 and you get 96 and then you would do 96 - 68 and you get 28 you don't subtract the denominator you just leave it and then it would be 28 over 4 and then you divide that to get 7.

Pat and Mike purchased a radio for $88. Pat paid $17 more than Mike. How much did
each pay?

Answers

Answer:

35.50(Mike )

52.50(Pat)

Step-by-step explanation:

88-17=71

71÷2=35.50(Mike )

35.50+17=52.50(Pat)

Evaluate: 4+8\div2\times \left(6-3\right)
18
25
16
33

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex]4+8\div \:2\times \left(6-3\right) =4+8\div \:2\times \:3 =4+12 =16[/tex]

Hope I helped you!Success!

by a romanian guy...

what number is 71% of 145​

Answers

Answer:

102.95

Step-by-step explanation:

Determine whether S equals 3/5, S equals zero or S equals 1.75 are solutions of the inequality

Problem: S < 0.43

Answers

S= 3/5 is a solution because it is less than .43, s=1.75 isn’t a solution

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

what is the volume and surface area?

Answers

Answer:

I think its 10 mi

Step-by-step explanation:

Please let me know if I'm wrong!

I think it’s 10mi to

help me with this please

Answers

The answer is 18

You want to substitute in the values for everything so z = 6 y = 4 and x = 2

So when you substitute it into the equation you get 4(2) + 4^2 -6

When simplified your get 8+16-6

When solved equals 18

Answer:

18

Step-by-step explanation:

We're given an expression and information about the values of the variables in it. The problem says that  x = 2, y = 4, z = 6. Thus, to evaluate the expression, substitute those values for the matching variables within the expression and solve:

[tex]4x+y^2-z\\= 4(2)+(4)^2-(6)\\= 8 + 16 - 6 \\= 24 - 6\\= 18[/tex]

So, the answer is 18.

This year, Faaria's car is worth 22,000. If the value of Faaria's car decreases by 8%, what will her car be worth next year?

Answers

Your answer would be 20,240$ because 22,000 multiplied by .92 = the number fist stated

Beth eats 2300 calories per day. She eats 600 calories at breakfast and 1.5 times at lunch. If she eats three meals with not snacks, which meal contains the most calories

Answers

Lunch

Step-by-step explanation:

she eats 900 cals at lunch, but at dinner she has 800 and breakfast she has 600. 900 is the most cals so lunch is the meal with the most calories.

63: 15 = __:__
a) 10.5 : 7.5
b) 21:5
c) 20:5
d 1:2

Answers

Answer:

21:5 is the right answer

I WILL MARK BRAINLIEST

Answers

c is the correct answer

Find the value of X round to the nearest 10th

Answers

Answer: 22.1°

Step-by-step explanation:

Applying law of sines, we have:

8² = 19² + 14² - 2*14*19 * Cos(x)

64 = 557 - 532*cos(x)

64 - 557 = -532*cos(x)

-493 = -532*cos(x)

Divide both sides by -532

-493/-532 = cos x

0.926691729 = cos x

x = cos^-1(0.926691729)

x = 22.1° (nearest tenth)

Solve the following system of equations:
2x - 3y = -1
y = x - 1

A. (4, 3) B. (-2, -3)
C. (-4, -5) D. (2, 1)

Answers

Answer:

A.(4,3)

Step-by-step explanation:

hope this help:)

Answer: A(4,3)

2x-3(x-1)=-1

x=4

y=4-1

y=3

(Click the picture)
1/6 of 12
1/6 of 24
1/6 of 36
1/6 of 48
1/6 of 0

Answers

Hey, sorry about the guy that gave you a complete joke answer. I got you brother.

In order, the answers are 2, 4, 6, 8, and 0

Which expression is equivalent to 20 + 5 X 9

Answers

POINTS STEP BY STEP

What is greater 5 cm or 2 in

Answers

2 inches? kind of question-
2in is longer because if you convert it into cm it would be 5.08cm.

Please helpppppppp:(((((((((((((((((((

Answers

Answer:

The area is 243 square feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of all four sides.

Two of the sides represent the length and two represent the width.

Given what we know and using l to represent the length and w to represent the width.

l + l + w + w = 72ft

or more concisely

2l + 2w = 72ft

The four sides all add together to equal 72ft

We also know that

l = 3w

This says the length is equal to 3 times the width

we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.

The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us

2(3w) + 2w = 72ft

2 times 3w is 6w

6w + 2w = 72ft

6w plus 2w is 8w

8w = 72ft

Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides

8w / 8 = 72ft / 8

8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft

w = 9ft

So now we know the width is 9ft

if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w

l = 3(9ft)

3 times 9 is 27 so

l = 27ft

So the length is 27ft which is 3 times the width of 9ft

The area of a rectangle is length times width or l x w, so

area = 27ft x 9ft

area = 243sqft

ft means feet and sqft means square feet

If you answer this question correctly I will answer 1 of your questions
Evaluate the expression 10−5a+(18−b), where a=2 and b=11.


Which THREE expressions will have the same value?


28÷(a×2)


20+b−(4×a)


49−43+(a÷a)


30−25+(b−9)


50÷a−(b+20)

Answers

We can start by solving for 10-5a+(18-b). By plugging in a and b, we get

10 - 10 + (18 - 11)= 7

28 ÷ (a × 2) = 28/4 = 7

20 + b − (4 × a) = 31 - 8 = 23

49 − 43 + (a ÷ a) = 49 - 43 + 1 = 7

30 − 25 + (b − 9) = 5 + 2 = 7

50 ÷ a − (b + 20) = 25 - 31 = -6

So, 28 ÷ (a × 2), 49 − 43 + (a ÷ a), and 30 − 25 + (b − 9) will all have the same answer as 10−5a+(18−b)

SON 17-2 PRACTICE
11. Make use of structure. Point R lies along the directed line segment
from Y(-1,-4) to X(7,6) and partitions the segment into the ratio 1 to 4,
What is the slope of YX, and how does this slope compare to the slope
of YR?

Answers

Answer: they are the same!

Think about this, if R lies on segment YX then the slope of YX and YR is the same, it doesn't matter where R is on the line (I hope I understood the question right if I didn't I'm sorry!)

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