Jerry plans on 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. Write a function to show how much money Jerry will have in his savings account s (t) after t months

Answers

Answer 1

9514 1404 393

Answer:

  s(t) = 2^(t-1)

Step-by-step explanation:

The amount in the account is the sum of the series ...

  1 + 1 +2 +4 +8 +16 +...

We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...

  Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed

For our values, this simplifies to ...

  Sn = 1×(2^n -1)/(2 -1) = 2^n -1

We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...

  s(t) = 1 +(2^(t -1) -1)

  s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has


Related Questions

In ΔOPQ, the measure of ∠Q=90°, PQ = 1.8 feet, and OP = 7.4 feet. Find the measure of ∠P to the nearest degree.

Answers

Answer:

P=75.922 ≈ 76

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

SOH-CAH-TOA

cos P = adjacent/hypotenuse= 1.8/7.4

Pcos^-1 = (1.8/ 7.4)

P=75.922 ≈ 76

Answer please !!!
Delta math !!

Answers

Answer:

if it is in inequality form = x>2

if it is in interval notation = (2, infinity in math)

Can somebody help me? -2-7p<26

Answers

Answer: p>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2−7p<26

Step 1: Simplify both sides of the inequality.

−7p−2<26

Step 2: Add 2 to both sides.

−7p−2+2<26+2

−7p<28

Step 3: Divide both sides by -7.

−7p

−7

<

28

−7

p>−4

what is x and y? help

Answers

y is Six and x is Ten
Since B is double its size your gonna multiply by 2 so
x would equal 10
And with b your dividing by 2
So y would be 6

Fill in the box to rewrite the expression 5x + 10
using the GCF.
5x + 10 = (
x) + (5 •

Answers

The GCF is 5 so the new expression would be: 5(x+2)

can someone help me with both these questions asap?
15 points

Answers

Answer:

what am I looking at my fault og

Overview
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Question Progress
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Oilsee
Homework Progress -
26 / 28 Marks
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Here is a list of numbers:
20 29 30 33 37 40
41
46
50
Use four of the numbers to make a sequence and describe the rule
for continuing your sequence.
I
equences - Term-to-Term Rule
Overview
0​

Answers

Answer:

20 292 02 202 202

Step-by-step explanation:

One number is 4 more than another, and their sum is 60. What is the smaller number?



If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?

x + y = 60 and -x + y = 4
x + y = 60 and x + y = 4
x + y = 60 and x - y = 4
Unlimited Attempts Remain

Answers

Answer:

Step-by-step explanation:

The system is

x+y=60 and x-y=4

If we get the difference between the two equations above we get

x+y-x+y=60-4

2y=56

y=28

The total population of a town is 128200 if 55% men are find the number of all the six pairs of corresponding
Pls help

Answers

Answer:

Here is the answer bro

If f(x)=3x+2, what is f(3)-7

Answers

Answer:

[tex] \orange{ \bold{f(3) - 7 = 4}}[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 2 \\ \\ plug \: x = 3 \\ \\ f(3) = 3(3) + 2 = 9 + 2 \\ \\ f(3) = 11 \\ \\ f(3) - 7 = 11 - 7\\ \\ \purple{ \bold{f(3) - 7 = 4}}\\ \\ [/tex]

Which of the following table of values represent a function?
A. (-1,5) (1,5) (4,5) (-4,5) (1,-5)
B. (1,0) (0,2) (5,-4) (-2,-1) (1,5)
C. (2,2) (3,3) (4,4) (5,5) (6,6)
D. (1,-4) (4,2) (-4,0) (0,3) (-4,-2)

Answers

C is the answer

Step-by-step explanation:

but I think is C

Brass is an alloy of zinc and copper. if 30%of the content is zinc, find the weight of zinc and copper in 300 grams of brass​

Answers

Answer:

zinc= 90g, copper=210g

Step-by-step explanation:

30%of 300=30/100×300=90

70%of 300=70/100×300=210

You deposit $5,000 in a bank account that earns 4% simple interest. How much interest will you earn in 2 years?

Answers

Answer:

Step-by-step explanation:

Help ASSAP . Find the perimeter I will give you 20 points and brainlyist.

Answers

Answer:

I think it may be 120 cm

Step-by-step explanation:

A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.

ABC is similar to triangle CED and is dilated by a factor of 3  so the base is 36.

using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE

add all the values together

39 + 13 + 15 + 36 +12 +5 = 120

Three tanks are capable of holding 361,841, and 901 of the greatest vessel winch can be used to fill each one of them on exact number of time

Answers

Answer:

Tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Step-by-step explanation:

Three tanks are capable of holding [tex]361,841,901[/tex]

To find which tank can be used to fill each one of them an exact number of time, find [tex]HCF(361,841,901)[/tex]

[tex]361=19^2\\841=29^2\\901=17(53)[/tex]

Therefore,

[tex]HCF(361,841,901)=1[/tex]

So, tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Write an equivalent expression in word form.

(1- 1/3) / 2

Answers

Answer:

21

Step-by-step explanation:

one third taken away from one, halved
or
half of one minus one third

Stefan sells Jin a bicycle for ​$127 and a helmet for ​$17.The total cost for Jin is 120% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally?How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

Stefan spent $120 originally

He made $24 dollars by selling the bicycle and helmet to Jin

Step-by-step explanation:

First, find the total cost:

127 + 17

= 144

To find the original cost, divide this by 1.2

144/1.2

= 120

So, Stefan spent $120 originally.

Now, find how much he made by subtracting 120 from 144:

144 - 120

= 24

So, he made $24 dollars by selling the bicycle and helmet to Jin.

what 2 numbers can be added to make -40 as well as added to make -6?

Answers

-20 x 2 or -10 x 4 both equal -40

-2 x 3 = 6

Help ASAP Ill mark brainliest

Answers

Answer:

35°

Step-by-step explanation:

add all =1000

then take the 350×100 =3500 then divide by 1000=35

Paula has $50 in a savings account that earns 5% interest per year. The interest is not compounded .How much will she have in 1 year?

Answers

Answer: $52.50

Step-by-step explanation:

There is $50 in the account and it earns interest at a rate of 5% a year.

This interest is not compounded therefore it is simple interest.

To calculate amount earned with simple interest is:

= Deposit * ( 1 + rate * time)

= 50 * ( 1 + 5% * 1 year)

= $52.50

Please answer this! I need a quick answer with work.

Answers

Equations -

1. Input u!

[tex] \frac{2.6 - ( - 1)}{5.8} [/tex]

Solve the problem!

[tex] \frac{3.6}{5.8} [/tex]

[tex] \frac{3.6}{5.8} =0.62[/tex]

Answer:

0.44827586

Step-by-step explanation:

(2.6)(−1)/-5.8=-2.6/-5.8 so you get 0.44827586

d(x) = (x - 6)(x - 2)

Answers

Answer:

x^2-8x+12

Step-by-step explanation:

This is the expanded form if this is what you wanted

A grocery store sells Swiss cheese for $5.90 per pound. What is the cost per ounce of Swiss cheese? Round your answer to the nearest cent.

Enter the correct answer in the box. You do not need to type the dollar sign, but your answer should be in the form of dollars and cents. For example, 0.50 means fifty cents.



$ _________

Blank 1: ____________________

Answers

Answer:

$2.71 per ounce

Step-by-step explanation:

Find how many ounces are in a pound, which is 16Divide 5.90 by 16, which equals 2.71186441 Then like the problem says "round to the nearest cent," which is just basically taking away the last 6 digits and you should get $2.71 per ounce.

help0000000000000000000

Answers

Answer:

The answer is going to be C.

Step-by-step explanation:

To help you in the future with any question like this one, you can always use Desmos Calculator.

the segment joing C and D (-0.6, -0.8) is the tangent to the unit circle at D. what is the exact value of...

1. sin(t - 2pi)

2. tan(t + pi)

3. tan(t - 2pi)​

Answers

Answer:

Tan(t+pi) = 3

Step-by-step explanation:

First let's find the slope of the line through the points  and  

Note:  is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also,  is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points  and  is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

 

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points  and  is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points  and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points  and

PLEAAASSSEE HELP!! ITS DUE IN 1 HOUR

Answers

Answer:

-4 and +4

Step-by-step explanation:

(- - - -) = -4

(+ + + +) = 4 or +4

-4 and +4 hope this helps

Which answer represents the series in sigma notation?

1+12+14+18+116+132+164




∑j=1712(j+1)

∑j=17(12)j−1

∑j=1712j+1

∑j=172j−1

Answers

Answer: The answer is the second one: ∑j=17(12)j−1

Step-by-step explanation:

(6n – 7) + (8n + 2) = 23

Answers

Answer:100

Step-by-step explanation:

2!2

Answer:

n = 2

Step-by-step explanation:

(6n - 7) + (8n + 2) = 23 (Combine like terms)

14n  - 5 = 23 (Add 5 from both sides)

14n = 28 (divided 14 from both sides)

n = 2

Factor the GCF out of each term of the polynomial.

Answers

Answer For The Number 22: Factors of 22 are 1, 2, 11, 22. There are 4 integers that are factors of 22. The greatest factor of 22 is 22. 3.

Answer For The Problem 2x3 (Divide it by the numbers I give you meaning divide the number two by what I give yo and the other number 3 by it.

The common factors for 2,3 are −1,1 . The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors −1,1 is 1 .The number is one.

Answer For The Problem 2x5 is also 1 so decide both 2&5 by 1 then multiply. After doing that for answers 2&3 add them. last if you then subtract 22 that might be the answer so put that & also put the answer of the greatest common factor of 22 which is 3. Make sure to include that the one where you subtracted 3 was the greatest common factor for 22.

M=-1 and it has a y-intercept of (0,-6). Write the equation that represents the situation.

Answers

Answer:

y=-1x-6

Step-by-step explanation:

do you need a explanation aswell?

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