On January 1, 2006, you have $100 in a savings account that earns interest at a rate of 1% per month. On the last day of every month you deposit $75 in the account, beginning in January.
Write a recursive rule for the account balance at the beginning of the nth month.​

Answer:

15(b)

16(a)

Step-by-step explanation:

15) 2x+10/2

Taking 2 common

2(x+5)/2

x+5

16) -2(-x-3)

(-2*-x)+(-2*-3)

2x+(6)

2x+6

Answer:

15: B. x+5

16: A. 2x+6

Answer:

d

Step-by-step explanation:

Answer:

The answer is D: 1,456

Step-by-step explanation:

I got it right on edge

Answer:

Step-by-step explanation:

y=0.23x+1

f(2)=0.23(2)+1=0.46+1=1.46

f(0)=0.23(0)+1=0+1=1

f(-3)=0.23(-3)+1=-0.69+1=0.31

Answer: 19/4

Explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number and then add the numerator.

So here, we multiply the denominator which is 2 times the whole number, 3, and then we add the numerator. So we have (4 x 4) + 3 which simplifies to 19.

Finally, we put our new number over our old denominator and we have our answer which is 19/4.

So 4 and 3/4 can be rewritten as the improper fraction 19/4.

Explanation of converting [tex]4\frac{3}{4}[/tex] to an improper fraction as 19/4.

To convert the mixed number  [tex]4\frac{3}{4}[/tex]  to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator:

4 x 4 + 3 = 19

So,  [tex]4\frac{3}{4}[/tex]  as an improper fraction is 19/4.

Answer:

3/4 *7= 3/4 * 7/1=21/4=5 1/4

Step-by-step explanation:

$ (40x + 5) is the expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Solution:

Given that,

Charge for ticket = $ (22x + 20)

Charge for checking bag = $ (x + 1)

Charge for food = $ 2x

Charge to upgrade to first class = $ (15x - 16)

To find: Expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Total cost = Charge for ticket + Charge for checking bag + Charge for food + Charge to upgrade to first class

[tex]Total\ Cost = (22x + 20) + (x + 1) + (2x) + (15x-16)\\\\Total\ Cost = 22x + 20 + x + 1 + 2x + 15x - 16\\\\\text{Combine the like terms}\\\\Total\ Cost = 40x+5[/tex]

Thus the expression to represent total cost is $ 40x + 5

Final answer:

The expression to calculate the total cost of flying first class, checking a bag, and buying food on the airline is calculated by adding the individual expenses, resulting in the simplified expression Total Cost = 40x + 5, where x is the variable that represents part of the costs.

Explanation:

To represent the total cost of flying first class, checking a bag, and buying food on the plane, we need to add the individual costs together. The airline charges $(22x+20) for a ticket, $(x+1) to check a bag, $2x for food, and $(15x-16) to upgrade to first class. Adding these costs together gives us the total cost:

Total Cost = Ticket + Bag + Food + Upgrade
Total Cost = (22x + 20) + (x + 1) + (2x) + (15x - 16)

Combining like terms, the expression simplifies to:

Total Cost = (22x + x + 2x + 15x) + (20 + 1 - 16)
Total Cost = 40x + 5

This expression can be used to calculate the total cost of flying first class with this airline, depending on the value of x.

Answer:

Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex]  - 8x + 13

Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.

Step-by-step explanation:

i) f(x) = [tex]x^{2}[/tex] + 8x + 19    =  [tex](x + 4)^{2}[/tex] + 3. SO the vertex is at (-4, 3)

Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex]  - 8x + 13

 = ([tex]x^{2}[/tex]  - 8x + 16) + 3  = [tex](x-4)^{2}[/tex] - 3

Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.

Final answer:

The function with a vertex at the point (4, -3) is f(x) = x² - 8x + 13. This is concluded by using the vertex formula for a quadratic equation and checking the resulting coordinates against the given options.

Explanation:

The question is asking which of the given functions has a vertex at the point (4, -3). To find the vertex of a quadratic function of the form f(x) = ax² + bx + c, we can use the vertex formula, which is h = -b/(2a) for the x-coordinate, and then plug that back into the equation to find the y-coordinate. In this case, the function with the vertex (4, -3) must have the x-coordinate of the vertex at x = 4. Plugging this into the vertex formula, we get 4 = -b/(2a). We then look for a function where -b/(2a) = 4. The function f(x) = x² - 8x + 13 is the correct one because when we apply the formula -(-8)/(2*1) = 8/2 = 4. To confirm, we substitute x = 4 into the function: (4)² - 8(4) + 13 = 16 - 32 + 13 = -3, which gives us the y-coordinate of the vertex, -3.

Answer: 2.50

Step-by-step explanation

we need to divide dollars / kilogram

Answer:

Step-by-step explanation:

X + 55 + 100 = 180

X = 180 - 100 - 55

X = 25°

Answer:

Step-by-step explanation:

Let the distance be D and time T.

D ∞ T

D = kT

Where k is the constant of proportionality.

k = D/T

When D = 270miles & T = 6hours

k = 270/6

k = 45

:- D = 45T

When T = 8hours

D = 45 × 8

D = 360miles

Answer: x=2/3y+ −2/3

Step-by-step explanation:

Answer:

2v - 2u

Step-by-step explanation:

We are to subtract u from v.

⇒ We have to take away 'u' from 'v'.

⇒ v - u

Doubling some quantity means make it twice as much. so, we just multiply the result by 2.

We get: 2(v - u)

⇒ 2v - 2u which is the required result.

Answer:

37

Step-by-step explanation:

Plug 5 in for b .

7.4 * 5 = 37

Answer:

k(-10)=-6

Step-by-step explanation:

-10+2=-8

3(-8)=-24

-24/4=-6

Answer:

the symplifayed version is 4

There are 271 people riding the bus in the morning and evening.

The addition, subtraction, division, and multiplication of built-in functions can also be used to specify arithmetic operations. The term "arithmetic operator" refers to the operator that executes the calculation.

In the morning, 197 people ride the bus. In the evening, 10 less than 84 persons use the bus.

According to the given question, the required solution would be as:

In the evening, 10 fewer than 84 people ride the bus, which means :

84 - 10 = 74 people ride the bus in the evening. (apply the subtraction operation)

So, In total, 197 + 74 = 271 people (apply the addition operation)

Therefore, 271 people ride the bus in the morning and evening.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

To find the total number of people riding the bus throughout the day, we calculate the evening ridership by subtracting 10 from 84, giving us 74 evening riders. We then add this number to the 197 morning riders to get a total of 271 riders for the day.

The question asks us to find the total number of people who ride the bus throughout the day by considering both morning and evening ridership numbers. In the morning, 197 people ride the bus. For the evening, it is mentioned that there are 10 less than 84 people riding the bus.

To find out the number of evening riders, we subtract 10 from 84:
84 - 10 = 74 people ride the bus in the evening.

Now, we add the number of morning riders to the number of evening riders to get the total:
197 + 74 = 271 people ride the bus in all.

Answer:

8 pizzas can serve 16 guests.

Step-by-step explanation:

So the caterer usually prepares 4 pizzas, but now she prepared twice as many, which means that now there are 4 • 2 = 8 pizzas.

Also, there is an estimation that each guest will eat 1/2 of a pizza.

In order to answer how many guests will 8 pizzas serve, we need to write an equation (pizzas per guest multiplied with number of guests equals the number of pizzas). Let's mark the unknown number of guests with x:

1/2 • x = 8

x = 8 / 1/2

x = 16

So, if each guest eats 1/2 of a pizza, then 8 pizzas will be enough to serve 16 guests.

Answer: 3%

Step-by-step explanation:

S.I = ptr / 100

Interest = 4515 - 4500

Interest = 15

time = 4 months = 4/12 years = 1/3 years

substituting each value into the equation to find rate , we have

15 = 4500 x  1/3 x r  / 100

1500 = 4500 x 1/3 x r

3(4500) = 4500r

r = 3(4500) / 4500

r = 3%

Answer:

3

Step-by-step explanation:

the guy is right above me

Answer:

32

Step-by-step explanation:

Answer:32

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

13×5+2=67

Answer:

65

Step-by-step explanation:

13 x 5 = 65  

nothing will give u a remainder of 2 tho

65

Answer:

5 x 2/5

Step-by-step explanation:

5/1 x 2/5 =

10/5 =

= 2

Answer:

2/5 x 5 first turn 5 into a fraction it becomes 5 over 1  so the new problem is

2/5 x 5/ 1= 10/5= 2

Step-by-step explanation:

Answer: 4.4

Step-by-step explanation:

The formula for calculating the area of regular hexagon is given as :

Area = [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]

Where a is the length of a side.

Substituting the value given , we have :

50 =  [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]

50 x 2 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]

100 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]

Divide through by [tex]3\sqrt{3}[/tex]

[tex]a^{2}[/tex] = [tex]\frac{100}{3\sqrt{3}}[/tex]

[tex]a^{2}[/tex] = 19.24500897

Take the square root of both sides :

a = [tex]\sqrt{19.24500897}[/tex]

a = 4.3869

To the nearest tenth

a = 4.4

Option C

3x + 7 > 4x is the inequality for sum of three times a number and seven is greater than four times the number

Solution:

Given that the statement is:

The sum of three times a number and seven is greater than four times the number

We have to find the inequality that represents the above statement

Let the number be "x"

Therefore,

sum of three times "x" and seven is greater than four times "x"

Here "times" represents product or multiplication

Thus we get,

three times "x" + 7 > 4 times "x"

[tex]3x + 7> 4x[/tex]

Thus the inequality is found. Option C is correct

Answer:

3

5

÷

j

=

3

8

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

Answer:

4.2

Step-by-step explanation:

divide 14.7 by 3.5

Answer:

1)commutative property of addition

2)commutative property of addition

3)B

To find the sum of the finite geometric series 4 + 12 + 36 + 108 + ... + 972, we use the sum formula for geometric series. The common ratio is 3, and there are 6 terms in the series. The sum of the series is 1456.

Evaluating the Sum of a Finite Geometric Series:

To evaluate the sum of the finite geometric series 4 + 12 + 36 + 108 + ... + 972, you need to use the formula for the sum of a finite geometric series:

Sum = a ×([tex]r^{n}[/tex]  - 1) / (r - 1)

where:

Let's identify these values:

To find n, use the formula for the nth term of a geometric series: a * r^(n-1). Given the last term is 972, we solve:

4 × [tex]3^{n-1}[/tex]= 972

Divide both sides by 4:

[tex]3^{n-1}[/tex]= 243

Recognize that 243 = [tex]3^{5}[/tex], so:

n-1 = 5

n = 6

Now, apply the sum formula:

Sum = 4 × ([tex]3^{6}[/tex] - 1) / (3 - 1)

Simplify the expression:

Sum = 4 × (729 - 1) / 2

Sum = 4 × 728 / 2

Sum = 4 × 364

Sum = 1456

Therefore, the sum of the series 4 + 12 + 36 + 108 + ... + 972 is 1456.

Answer:

  f(x) = StartRoot x EndRoot minus 2

Step-by-step explanation:

The curve shown below seems to match your description.

___

Any square root function with a quantity added to it will not have any presence in quadrant 4, as its graph will be entirely above the x-axis.

Answer:

It is the first one. I just took the test on edg.

Step-by-step explanation:

Final answer:

Long division is used to divide 5.04 by 7, giving a quotient of 0.72. We divide 50 by 7 to get 7, then bring down the 0 and 4 consecutively, resulting in 1 and 4 added to the quotient line, respectively.

Explanation:

When you use long division to divide 5.04 by 7, you start by placing the divisor (7) outside the division box and the dividend (5.04), with the decimal point, inside the box. You then determine how many times 7 goes into 50 (the number before the decimal point in 504), which is 7 times. Therefore, you place a 7 above the 50, on the quotient line. Next, you multiply 7 by 7 to get 49, and subtract that from 50, resulting in 1. Shift down the next digit from the dividend, which is 0, making the new number 10. Seven goes into 10 once, so you put another 1 on the quotient line, multiply 7 by 1 giving 7, and subtract again, resulting in 3. Lastly, you bring down the last digit, which is 4, to get 34. Five goes into 34 four times, giving us a final quotient of 0.72.