What should replace a, b, and x in B(t) = abx for the amount of money in the account, B(t), after t months with an initial deposit of $100.

Answers

Answer 1

Answer:

[tex]B(t) =100 * (1 + r)^t[/tex]

Step-by-step explanation:

Given

[tex]B(t) = ab^x[/tex]

[tex]x = t[/tex] ---- months

[tex]a = 100[/tex] --- Initial deposit

Required

Replace a, b and x

Substitute: [tex]a = 100[/tex] in [tex]B(t) = ab^x[/tex]

[tex]B(t) = 100 * b^x[/tex]

Substitute:[tex]x = t[/tex]

[tex]B(t) = 100 * b^t[/tex]

From the question, the rate, r is not given.

And

[tex]b = 1 + r[/tex]

So, the expression becomes:

[tex]B(t) =100 * (1 + r)^t[/tex]


Related Questions

An artist receives royalties for all digital downloads of his music. For the first 10,000 downloads, the artist receives $10,000. He receives $12,500 for the next 10,000 downloads, $15,000 for the next 10,000 downloads and so on. How much money will he receive if his music is downloaded 500,000 times?

Answers

Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

[tex]\frac{2500}{10,000}[/tex]. This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

[tex]\frac{2500}{10000}=\frac{x}{500000}[/tex] and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

[tex]\frac{$}{#}[/tex]

Give the following sequence for f(x) = 4x^2 - x , when x is -4, 1, 2
A. 68, 14, 3
B. 7, 14, 3
C. - 64, - 14, 3
D. 58, 14, 3

Answers

Answer:

A

Step-by-step explanation:

by putting the value of x

ans was A

WILL GIVE BRAINLIEST! HELP ASAP!

The solution to an inequality is x < 3.5. Which of the following statements and graphs are true? Select all that apply.

Answers

Answer:

any nuber less then 3.5  and 5th awnser

Step-by-step explanation:

x is less then 3.5 so any    number less then 3.5

5th one is true too because you can go into negitves  and tehre is are infanite negitives

Answer:

The following statements and graphs are true:

x < 3.5

Any number that is less than 3.5 is a solution.

There are an infinite number of solutions.

The statement "x ≤ 3.5" is not true because the original inequality states that x is strictly less than 3.5, not less than or equal to 3.5. The statement "Any number that is greater than 3.5 is a solution" is also not true for the same reason. Finally, 3.5 is not a solution to the inequality because the inequality is strict: it only includes values of x that are strictly less than 3.5.

________________________________________________________

What is the difference between strict and non-strict inequalities?

The difference between strict and non-strict inequalities is that strict inequalities use "<" or ">" symbols, which exclude the boundary values, while non-strict inequalities use "≤" or "≥" symbols, which include the boundary values.

For example, the inequality x < 5 is a strict inequality, which means that x can be any number less than 5, but it cannot be 5 itself. On the other hand, the inequality x ≤ 5 is a non-strict inequality, which means that x can be any number less than or equal to 5.

Similarly, the inequality y > -3 is a strict inequality, which means that y can be any number greater than -3, but it cannot be -3 itself. The inequality y ≥ -3 is a non-strict inequality, which means that y can be any number greater than or equal to -3.

What are some real-life applications of inequalities, and how are they used in various fields of study?

Inequalities are used in a variety of real-life applications, including:

Business and economics: Inequalities are used to represent constraints in optimization problems, such as maximizing profits subject to resource limitations.

Engineering and physics: Inequalities are used to represent physical constraints, such as maximum and minimum values for quantities like speed, acceleration, and force.

Health and social sciences: Inequalities are used to represent inequalities in health outcomes and access to healthcare, as well as social inequalities related to income, education, and other factors.

Computer science and optimization: Inequalities are used to represent constraints in optimization problems, such as scheduling, routing, and allocation of resources.

Probability and statistics: Inequalities are used to bound the probability of events and to represent relationships between random variables.

Inequalities are also used in various fields of mathematics, including algebra, geometry, and analysis. They are important tools for proving theorems and solving problems in these areas.

1. Please help !!! Provide work if possible !

Answers

Answer:

73

Step-by-step explanation:

Which equation represents a line that passes through (4, 5) and has a slope of 3/4 ?
Oy-- (x - 4)
Oy-} = (x-4)
O y = 4(x - 2)
O y - 4 =

Answers

y = 3/4x +b
5= 3/4*4 + b
5=3+b
b=2
y=3/4x+2

The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/4

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 5 = ( 3/4 ) ( x - 4 )

y - 5 = ( 3/4 )x - 3

Adding 5 on both sides , we get

y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.

Answers

Answer:

B

Step-by-step explanation:

Mrk me BRAINLIEST PLZZZZZZZZ

The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot​

Answers

Answer:

The width of the prisim is equal to 2.23 feet.

Step-by-step explanation:

let l is length and b is width.

Length, l = 4b

The volume of the prism is 160 ft³.

The height of the prism is 8 ft.

The formula for the volume of a prism is given by :

[tex]V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft[/tex]

So, the width of the prisim is equal to 2.23 feet.

Im confused in the wording on this question can someone tell me how to solve it with clear steps

Answers

Answer:

G

Step-by-step explanation:

Answer:

G: The printer prints 3 fewer pages per minute in colored ink than in black ink.

Step-by-step explanation:

The answer is G because the relation between the two different print jobs can be seen in the "33t" and "30t" values. The relation is showing that when the printer prints in black, it prints 3 more pages per minute.

Your baby brother has an ear infection. The doctor said there are probably 50,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every hour. About how long will it take for there to be less than 25,000 bacteria?​

Answers

Answer:

Ok I'm not sure but (9 hours)

Step-by-step explanation:

50,000 divided by 25,000 = 7

7 plus 2 equals 9.

Pls answer fast pls pls test

Answers

Step-by-step explanation:

2a)3+x/4=5

or,12+x/4=5

or,12+x=20

or,x=20-12

therefore,x=8

Matilda is practicing her marching band skills on the football field. she starts in the center if the field walks 80 feet south then 60 feet west how far is she from the center of the field where she started

Answers

Answer:

100 feet

Step-by-step explanation:

pythagorean theorm

60^2+80^2= 10,000

Square root of 10,000= 100

what is a decimal that is equivalent to the fraction 45/100?

Answers

Answer:

0.45

Step-by-step explanation:

Step-by-step explanation

Answer:

0.45.

Step-by-step explanation:

Dividing 45 by 100 gives us 0.45.

Larry hos
a $100 gift card to spend at a toy store.
He spends the same amount
every month on toys
When will be hove So left?
Explain how you know

Answers

Answer:

Well it can be multiple choices, but I say people are most likely to spend 25 dollars. So it will take him 4 months to have $0

Step-by-step explanation:

GIVING BRAInLY !!!!! Which expression shows the result of applying the distributive property to 3(1/5x-1/7)?
(A) -3/5x-3/7
(B) 3/5x-3/7
(C) 3/5x+3/7
(D) -3/5x+3/7

Answers

Answer:

B. 3/5x-3/7

Step-by-step explanation:

You multiply when applying the distributative property

3(1/5x-1/7)

3/5x-3/7 multiply 3 by each value in parentheses.

Multiply 3 by each fraction given.
1/5x times 3 = 3/5x
-1/7 times 3 = -3/7.
Answer = b when you put the two back together. Don’t forget about your negative sign when multiplying!!

Please please help me please

Answers

Answer:

If the percentage is 20%, the down payment is $177,100

If the percentage is 10%, the down payment is $88,550

Step-by-step explanation:

This is a terrible question, in my opinion, unless they gave more information at the top of the page. A down payment on a house can be anywhere from 3.5% to 20%

Let's go with the 20%

885,500 x 0.20 = 177,100

I need help with the ones I didn't do and did I do them right too?​

Answers

Answer:

1) 64

2) 8

3) 2187

4) 5[tex]x^{2}[/tex]

5) 4[tex]x^{2}[/tex]

6) 12[tex]n^{5}[/tex]

7) 9[tex]x^{2}[/tex]

8) [tex]p^{9}[/tex]

9) 27[tex]p^{12}[/tex]

10) [tex]\frac{4x}{3}[/tex]

11) 4b

12) [tex]\frac{1}{4a^{2} }[/tex]

Step-by-step explanation:

Answer:

refer to the attachment

I don’t need any help with homework but i would like to thank you all for helping me survive this school year. Brainly has helped me sm <3 (posting this on mathematics bc that’s what i needed/got help most on)

Answers

Answer: Of course, your so welcome :)

Step-by-step explanation:

Yes of course this school was hard but hey we got trough it right. I even have been using this.Every student in my school is right now.

need help ace plsssz​

Answers

Answer:

150 multiply the 2 numbers

hope this helps

have a good day :)

Step-by-step explanation:

Find the center and radius of this
circle.
(x - 2)2+(y + 3)2 = 36

Answers

Answer:

(x-a)² + (y-b)² = r²

C(a,b) -> C ( 2 , -3 )

r² = 36 ... r = 6

Answer:

The answer is 2 then -3 and last 6

Step-by-step explanation:

Put in 2 then -3 and last 6 You welcome

A landscaper waters a lawn during the summer.
He wants to know how much water is being used
per minute. He records the amount of water used
in the table.
PLEASE NO LINK.

Answers

Answer:

Step-by-step explanation:

D bc yes

Which shows the list of numbers in order from least to greatest?

StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, –2, StartAbsoluteValue 3.5 EndAbsoluteValue
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue
–2, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue
StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, –2, StartAbsoluteValue negative 4.2 EndAbsoluteValue

Answers

Answer:

Absolute value

Step-by-step explanation:

Answer:

Absolute value

A

Step-by-step explanation:

I got it right on edg

what is 3 1/3 divided by 2

Answers

Answer:

1 and 2/3

Step-by-step explanation:

1+1=2 and 2/3 +2/3 = 4/3 so all is 3 and 1/3

Answer:

1 2/3 or 5/3

Step-by-step explanation:

3 1/3=10/3 (10/3)/(2/1)=(10/3)/(1/2)=10/6=5/3 Improper:5/3 Mixed:1/23

If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches?

Pls help me its due in a hour :(

Answers

Answer:

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

The answer is 50 inches

A data set is made up of these values.
8, 10, 11, 13, 14, 16, 17
Find the interquartile range,
O A. 17 - 13 = 4
B. 10 - 8 = 2
O C. 16 - 10 = 6
D. 17 - 8 = 9

Answers

Answer:

C

Step-by-step explanation:

I took the test on A p e x

Hope this helps!

a parallelogram is transformed according to the rule (x , y)

Answers

Answer:

hi how are you doing today Jasmine

what is the question?


please let me know and I’ll help ASAP!

Please help I need it now!

Answers

Answer: 40,000

Step-by-step explanation:

First 6 years: 5,000 + 5,000 = 10,000

Second 6 years: 10,000 + 10,000 = 20,000

Third 6 years: 20,000 + 20,000 = 40,000

Hope this helps!

if the length is 18 inches and the width is 24 inches what's the area

Answers

Answer:

L x W = 432

Step-by-step explanation:

18 X 24 = 432

What is exactly between 2 and 3 on a number line?
A. 1.5
B. 3.5
C. 2.5

Answers

Answer:

2.5 my guy

Step-by-step explanation:

C. 2.5
bcs if you have a line btwn 2 and 3, 2 and a half would be right in btwn it

-(23/47)

Which of the following is equivalent to the given number?
ASAP

Answers

Given:

The number is:

[tex]-(\dfrac{23}{47})[/tex]

To find:

The number that is equivalent to the given number.

Solution:

In option A,

[tex]-(-\dfrac{23}{47})=\dfrac{23}{47}[/tex]            [tex][\because (-)(-)=(+)][/tex]

In option B,

[tex]\dfrac{23}{-47}=-\dfrac{23}{47}[/tex]

In option C,

[tex]\dfrac{-23}{-47}=\dfrac{23}{47}[/tex]

In option D, we have

[tex]\dfrac{23}{47}[/tex]

The numbers in options A, C and D are equivalent to [tex]\dfrac{23}{47}[/tex]. So, options A, C and D are incorrect.

The numbers in options B is equivalent to [tex]-(\dfrac{23}{47})[/tex]. So, option B is correct.

Therefore, the correct option is B.

I need sum help legit answers ONLY!!! also sho word pls IM GIVIN MAX PTS N BRANLIEST

Answers

Answer:

Ok so I see 34 as the dynamotor (I think that is how you spell it lol) and 27 as the height 3.14 as PIE would be for the radios divide 34 and you get 17 therefore 17 times 27 is 578 divide that by PIE aka * 3.14 you get 184 I believe this is correct.

Step-by-step explanation:

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