Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence.

What will Leo's balance be after 8 months?

Leo's bank balance will be $
after 8 months.

Answers

Answer 1

Leo's balance after 8 months is $1725.

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

2, 4, 8, 16 is a geometric sequence.

We have,

1500, 1530, and 1560 is a geometric sequence.

First term.

a = 1500

Common ratio.

r = 1.02

The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].

Now,

For n = 8,

8th term.

= 1500 x [tex]1.02^7[/tex]

= 1500 x 1.15

= 1725

Thus,

The balance after 8 months is $1725.

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Related Questions

HELP DUE IN 15 MINS!

Assume that any lines that appear to be tangent are tangent.

x=??

Answers

Answer:

x = 156

Step-by-step explanation:

Yes.  The comment was correct.

The central angle and the Arc measurement are the same amount (in degrees)

So The entire circle is 360 degrees.

Answer = 360 - the two central angles.

Answer = 360 - 65 - 139

Answer = 360 - 204

Answer = 156

A rectangular patio has a volume of 360 cubic feet. If the width is 8 feet and the length is 15 feet, what is the height of the patio stones?

Answers

Answer:

3 feet

Step-by-step explanation:

Volume of a rectangular object = length x width x height

360 = 8 x 15 x height

360 = 120 x height

height = 360 / 120

height = 3ft

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer:

-1, 0, 4

Step-by-step explanation:

2f - 8 ≤ 6f + 4

-4f ≤ 12

f ≥ 12/-4  **flip the inequality when you divide by a negative number

f≥ -3

Check all the answers that are ≥ -3

Please Help!
I need this for an important Test
You will be deeply appreciated​

Answers

A will to the fifth power.
A Because the equation at the top is 4^6 and b and c are the same answer

Eginning at 15,000 feet, a commercial jetliner begins climbing at a rate (in feet per minute) given by f(t)=e0.4t+8 f ( t ) = e 0.4 t + 8 with 0≤t≤20 0 ≤ t ≤ 20 where t t is the time in minutes since the aircraft began climbing. Use the Net Change Theorem to determine the aircraft's elevation after climbing for 15 15 minutes. Round the answer to the nearest foot.

Answers

Answer:

16,126 ft

Step-by-step explanation:

Using the net change theorem and letting s(t) represent the aircraft's position, and s(0) be the aircraft's position at time t = 0, s(0) = 15000 ft  and s(15 be the aircraft's position at time, t = 15 minutes respectively, then,

s(15) - s(0) = ∫₀¹⁵f(t)dt

s(15) - s(0) = ∫₀¹⁵[[tex]e^{0.4t} + 8[/tex]]dt

s(15) - 15000 = [[tex]\frac{e^{0.4t}}{0.4} + 8t[/tex]]₀¹⁵

s(15)  - 15,000 ft = [tex]\frac{e^{0.4X15}}{0.4} + 8X15 - \frac{e^{0.4 X 0}}{0.4} + 8(0)\\\frac{e^{6}}{0.4} + 120 - \frac{e^{0}}{0.4} + 0\\\frac{403.43}{0.4} + 120 - \frac{1}{0.4} + 0\\1008.57 + 120 - 2.5\\1126.07[/tex]

s(15) = 15,000 ft + 1126.07 ft

s(15) = 16,126.07 ft

s(15) ≅ 16,126 ft to the nearest foot

In order to visit the Museum of Mathematics, Ascend requires `2` chaperons for every `5` students. If the school has `210` people going in total, how many students are going to the Museum?

Answers

Answer:

150

Step-by-step explanation

How do you find the sides of a 45 45 90 triangle when given the hypotenuse?

Answers

The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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What are the two types of angles?

Answers

The two types of Angles of the triangle are  Acute Angle ( angle that are less than 90 degree) and Obtuse Angle ( angle between 90 and 180 degree ).

What are Angles ?

The Angle is defined as the geometrical shape that is constructed by joining two rays to each other at their end points.

The two types of angles of the triangle are Acute Angle and Obtuse Angle :

(i) Acute Angle :

An angle can be called as Acute if the measure of the angle is less than 90 degree .

(ii) Obtuse Angle :

an angle can be called as Obtuse if the measurement of the angle is greater than 90 degree and less than 180 degree .

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What must be added to the polynomial 2x³ 3x² 8x so that it leaves a remainder 10 when divided by 2x 1?

Answers

To find the remainder 10 when dividing 2x³ 3x² 8x by 2x 1, the polynomial must be augmented with -12.

What is polynomial?

A polynomial is an expression that consists of variables, exponents, and coefficients. It is a mathematical function composed of two or more terms, each of which is a number or a variable multiplied by an exponent. It can be used to represent a variety of relationships in mathematics, including equations, linear functions, quadratic functions, and more.

Therefore, the polynomial that will leave a remainder 10 when divided by 2x 1 is 2x³ 3x² 8x -12.

This is because if we divide the polynomial by 2x 1, the remainder will be the last term of the resulting polynomial, which is -12.

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Find the value of the expression below for r= 4 and t = 2.
2-r+20=r
09
072
06
040

Answers

Answer: 8-4+5

Step-by-step explanation: Best I could do

Which expression is equivalent to (-3) × (-3)²?

Answers

Answer:

[tex] \sf \: (-3) × {( - 3)}^{2} = - 27[/tex]

Step-by-step explanation:

Given expression,

→ (-3) × (-3)²

Let's simplify the expression,

→ (-3) × (-3)²

→ (-3) × ((-3) × (-3))

→ (-3) × 9

→ (-3 × 9) = -27

Hence, the answer is -27.

Need help with math triangle question in image. Thank you

Answers

34 yd pretty sure it’s definetly not a or d

Need help with school

Answers

Answer:

x=6°

Step-by-step explanation:

The value of x is 6°.

Ben Nevis has a height of approximately 1300 metres above sea level.
Assuming that temperature decreases by 1°C for every 100 metres above
sea level, work out the temperature at the summit of Ben Nevis when the
sea level temperature is 5°C.

Answers

The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.

To work out the temperature at the summit of Ben Nevis, we can use the formula:

Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres

We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.

So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C

Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C

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Use the Distributive Property to simplify the expression 9(2n+1)

Answers

Answer:

18n+9

Step-by-step explanation:

9 times 2n is 18n.

9 times 1 is 9.

There's your answer.

Answer:

[tex]\huge\boxed{\bold{18n+9}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression!

All we should do is "distribute" 9:

[tex]\bold{9(2n+1)}[/tex]

[tex]\bold{18n+9}[/tex]

Hope it helps!

[tex]\rm{Have~A~nice~day![/tex]

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever}[/tex]

Given: 2x−43=2
Prove: x = 5

Select from the drop-down menus to correctly complete the proof.

Statement Reason
2x−43=2 Given
2x−4=6
Choose...
2x = 10
Choose...
x = 5

Answers

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given : 2x-4=6

To prove x =5

Thus,

We have to find the value of x

=> 2x =10

=> x =10/2

=> x =5

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

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work out the size of angle x

Answers

Answer:

[tex]13^{\circ}[/tex]

Step-by-step explanation:

Consider the smaller of the two triangles with angle [tex]x[/tex].

Using vertically opposite angles, one of the angles of this triangle is [tex]85^{\circ}[/tex].

Using corresponding angles combined with angles on a straight line, one of the angles is [tex]82^{\circ}[/tex].

Angles in a triangle add to [tex]180^{\circ}[/tex], so [tex]x=13[/tex].

(Ignore the kitty) plz help

Answers

Answer:

subtraction because 10 - 2 = 8

Step-by-step explanation:

oml i used to have that cat btw and then my school blocked it </3

find the value of x .







Answers

9514 1404 393

Answer:

  x = (23 1/3)°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  40° +2x +4x = 180°

  6x = 140° . . . . . . . . . . . subtract 40°

  x = 140°/6 = (23 1/3)° . . . . divide by the coefficient of x

_____

This makes the angles be 40°, 46.67°, and 93.33° (rounded to hundredths).

I don't know how to do these

Answers

Answer:

1. Below 2. B. d = 8h

Step-by-step explanation:

The graph is a bit confusing. But basically, substitute x for the numbers they give you.

5x

5 · 1 = 5 = y

5 · 2 = 10 = y

5 · 3 = 15 = y

5 · 4 = 20 = y

7x

7 · 1 = 7 = y

7 · 2 = 14 = y

7 · 3 = 21 = y

7 · 4 = 28 = y

Answer:

okay just follow everything under here!

Step-by-step explanation:

so y = 5x right? so on the chart, it goes from 1-4. x is those numbers. so in the second column, you see 5x. so you would multiply 5 x __ whatever the number is. so this would be column 2.

5x1

5x2

5x3

5x4

and then the second column is 5, 10, 15, 20

then you do the same thing with the second one.

7x1

7x2

7x3

7x4

then Y would be 7, 14, 21, 28

then number 3, it would be B. 8h = d

8 x h (hours) = 8h  which would = d (amount made)

i hope this helped! good luck!

SOMEBODY PLEASE GIVE ME THE ANSWERS! I AM GIVING AWAY A LOT OF POINTS!

Answers

Answer:

nice to see you again

Step-by-step explanation:

14.) 20

15) 16

16) true

Answer:

20, 16, true

Step-by-step explanation:

The input is the number of rides, or the x-coordinate. The output is the dollars remaining on card, or the y-coordinate. We know this because the number of rides dictates how much money is on the card.

14. The question is asking for the output when the input is ten. Thus, we need to find the y-coordinate on the line when the x-coordinate is 10. We see that (10,20) is on the line, so then our output (or y-coordinate) is 20.

15. The question is asking for the input when the output is five. Thus, we need to find the x-coordinate on the line when the y-coordinate is 5. We see that (16,5) is on the line, so then our input (or x-coordinate) is 16.  

16. 7 rides is the x-coordinate, and 27.50 is the cost, or the y-coordinate. However, this is true because even though the y-coordinate is NOT the cost of the rides, but the amount of money remaining on the card AFTER the rides are cashed in, 27.50 is half of 45 dollars, so then if 27.50 is spent on the rides, there will still be 27.50 left over on the card. Thus, it is true.

What is the inverse of f(x) = -6(x-2)?
please help <3

Answers

Answer:

The answer is number 2. f^-1(x)= 2- x/6

Step-by-step explanation:

Just is

3. Geese and Pigs: A farmer raises only geese and pigs. She wants to raise no more than
16 animals total including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and has $180 available for this project. Find the maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.

Answers

The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.

How can you determine the table's maximum profit?

Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.

Let the number of geese be x and the number of pigs be y

From the given information, we can form the following inequalities:

x ≤ 10

y ≥ 05

x + 15y ≤ 180

Maximize 6x + 20y.

We want to find the intersection points of the first three equations since x and y are bounded within the area under these

These points are (0,0), ( 10,0), (0,12), (10,65/3).

At (0,0) , the profit is $0

At ( 10,0), the profit is $60

At (0,12) , the profit is $240

At (10,65/3) , the profit is $499.33

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HEEEEELLLLPPPPPPPPPP!!!!!!!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

Which graph represents the solution to the inequality 3 < 2- x/3 <7/2

Answers

Answer:

C

Step-by-step explanation:

What are 3 completed examples for functions?

Answers

Example 1

Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.

Solution

Given, y = x2 + 4x + 1

By applying function notation, we get

f(x) = x2 + 4x + 1

Evaluation:


Substitute x with 3

f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22

Example 2

Evaluate the function f(x) = 3(2x+1) when x = 4.

Solution

Plug x = 4 in the function f(x).

f (4) = 3[2(4) + 1]

f (4) = 3[8 + 1]

f (4) = 3 x 9

f (4) = 27

Example 3

Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).

Solution

y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3


Substitute x with (2a + 3).

f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3

= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27

Help!?!?!?!??!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer d) looks good

D. [tex] \frac{21 \: b}{10} - 48[/tex] ✅

Step-by-step explanation:

[tex] - 6( \frac{1}{4} b+ 10) + 4( \frac{9}{10}b + 3) \\ = \frac{ - 6 \: b}{4} - 60 + \frac{36 \: b}{10} + 12 \\ = \frac{ - 3 \: b}{2} + \frac{18 \: b}{5} - 60 + 12 \\ = \frac{ - 3 \: b \times 5}{2 \times 5} + \frac{18 \: b \times 2}{5 \times 2} - 48 \\ = \frac{ - 15 \: b + 36 \: b}{10} - 48 \\ = \frac{21 \: b}{10} - 48[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]


[tex]{x}^{2} + x - 2[/tex]
solve this with first X last method​

Answers

Answer:

[tex]x=-2,1[/tex]

Step-by-step explanation:

[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]

How can you differentiate best time worst time and average time of an algorithm?

Answers

You can differentiate best time, worst time and average time of an algorithm like this:

Best time = fastest completion time with optimal inputs.

Worst time = slowest completion time, with pessimistic inputs.

Average time = arithmetic mean

What is Average case?

The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.

There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.

Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.

Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.

What is average case complexity

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Steve wants to open a savings account. Bank A will increase the interest rate on the savings account by
​1/5% after the first year he is a customer. Bank B offers an interest rate increase of 0.25​% after the first year he is a customer. Which bank has the higher interest rate​ increase? Explain how you were able to compare the rates. i need help asap please help

Answers

Answer:

Bank A

Step-by-step explanation:

Get them wrong then push try agian and remember it hope it helps?

thats my trick sometimes!

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