The table below shows the February balance of a simple interest savings account each year from 2015 to 2021 (7)

Do the balances form an arithmetic or geometric sequence?
What is the d or the r?
Write a formula for the balance in the account n years after February 2015.
Find the sum of the February balances from 2015 to 2032, inclusive.

The Table Below Shows The February Balance Of A Simple Interest Savings Account Each Year From 2015 To

Answers

Answer 1

As the difference between consecutive terms is the same, the balances form an arithmetic sequence, and:

The common difference is d = 2018.The formula for the balance is: [tex]a_n = 12000 + 2018(n - 1)[/tex]The sum of the balances from 2015 to 2032 is of 478,488.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

From the table, the first term and the common difference are given as follows:

[tex]a_1 = 12000, d = 2018[/tex]

Hence the formula for the balance in the account n years after February 2015 is:

[tex]a_n = 12000 + 2018(n - 1)[/tex]

2032 is 17 years after 2015, hence:

[tex]a_{17} = 12000 + 2018(17 - 1) = 44288[/tex]

The sum is given by:

[tex]S_{17} = \frac{17(12000 + 44288)}{2} = 478,488[/tex]

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Related Questions

Help me on this question pleaseeeeeeeeeeeee

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Answer:

The answer is 16

Step-by-step explanation:

If there is 2 pizzas and it is in eighths, then 2 times 8 equals 16. 16 pieces of 1/8 slices.

Answer:

16 students

Step-by-step explanation:

2 pizzas cut into 8ths, 8 slices plus 8 slices = 16

Shelia and her study partner flipped a coin 120 times they flipped 70 heads and 50 tails what is the experimental probability that the next flip will be heads ? A. 58.3% B.50% C.41.7% D.70%​

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Answer:

A

Step-by-step explanation:

58.3 is the possibility :)

which one is a function please help me!!!??????

Answers

Answer:

b

Step-by-step explanation:

b is the only one that if you draw a vertical line at ani point on the graph does not intersect the graph more than once

Which of the following types of angles DO NOT have equal measure in the figure shown?
Choose one 4 points
O Alternate Interior Angles
Alternate Exterior Angles
O Adjacent Angles
O Corresponding Angles
5/6
7/8
1/2
3/4
Intersecting Lines

Answers

Out of the following types of angles adjacent angles do not have equal measure.

Here, from the given figure, we can see that the 2 horizontal lines are parallel to each other and a transversal is drawn between them.

When 2 lines are parallel and joined by a transversal, any two pairs or alternate exterior angles, alternate interior angles and corresponding angles will be equal.

However, any to pairs of adjacent angle will not be equal. The sum of a pair of adjacent angles that lie on the straight line is 180°.

Here, one pair of adjacent angles is ∠1 and ∠2. Thus-

∠1 + ∠2 = 180

∠1 and ∠2 will be equal only when both of them are 90° each. Here, we are not given that they are 90.

Hence, out of the following types of angles adjacent angles do not have equal measure.

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-9 - (-4) =
What does that equal to?

Answers

Answer:

-5

Step-by-step explanation:

When you subtract a negative you end up adding it instead

What is -3(2a + 5b - 4y - 2)?

Answers

Answer: -6a-15b+12y+6

Step-by-step explanation:

Question 6 of 15
What is the value of the number in the tenths place?
1.793
O A. 0.1
O B. 0.09
O C. 0.7
O D. 0.07

Answers

225× (_4) please help help me me my question solve please

Answer:

C

Step-by-step explanation:

Becasue its the first digit to the right of the decimal.

The second side of a triangle is 2 times the first side. The third side of a triangle is 6 times the first side. If the perimeter of the triangle is 72 feet, find the length of each side.

Answers

Answer:

First side is 8 feet

second side is 16 feet

third side is 48 feet

Step-by-step explanation:

x + 2x + 6x = 72

9x = 72

x = 72/9

x = 8

A rental company charges $70 a day and 20 cents a mile for renting a truck. Michael rents a truck for 3 days, and his bill came to $295. How many miles did he drive?

Answers

Michael drove 1125 miles and paid $295 for renting the truck for 3 days

Rental company charges per day = $70

Rental company charges per mile = $0.20

Number of days truck is rented by Michael = 3 days

The total amount paid by Michael for the truck = $295

Let x be the number of miles Michael drives the truck

Formulating the equation using the information given in the question:

295 = 70 + 0.20(x)

295-70 = 0.20(x)

225 = 0.20(x)

x = 1125 miles

Therefore, the total miles driven by Michael is 1125 miles.

Michael paid $295 for driving the truck for 1125 miles and renting it for 3 days.

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I had a dream of a beautiful cupcake tree, growing 4 loveee cupcakes every 12 hours for 36 hours. Please make my dream come true.​

Answers

The beautiful cupcake tree can grow 12 cupcakes in 36 hours.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The cupcake tree could grow 4 love cupcakes every 12 hours for 36 hours.

Hence:

Total number of cupcakes in 36 hours = (4 cupcake per 12 hour) * 36 hour =  12 cupcakes.

The beautiful cupcake tree can grow 12 cupcakes in 36 hours.

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A car manufacturer wants to analyze the safety
features of 7 different car models by comparing
each model with every other model. If each com-
parison costs $4,000, how much will the manufac-
turer spend altogether?
A. $28,000
B. $32,000
C. $48,000
D. $84,000

Answers

Cost of comparison: $4,000
Number of comparisons: 7

7 x $4,000 = $28,000

Answer: A. $28,000

1. Continuous Compounding A certain investment is
subject to continuous compounding. The value of
the investment after t years is given by
V = 5000e0.05t dollars.
a. Make a graph of the value of the investment over
the first 20 years.
4. E
C
How do I make a graph

Answers

The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.

We are provided with the equation V = 5000[tex]e^{0.05t}[/tex]

The equation can be simplified as

V = 5000 e0* (0.05t)

V= 250t

This linear equation can be plotted for different values of t which are

If t=0, V = 0

If t=1, V = 250

If t=2, V = 500

If t=3, V = 750

If t=4, V = 1000

If t=5, V = 1250

If t=6, V = 1500

If t=7, V = 1750

If t=8, V = 2000

If t=9, V = 2250

If t=10, V = 2500

If t=11, V = 2750

If t=12, V = 3000

If t=13, V = 3250

If t=14, V = 3500

If t=15, V = 3750

If t=16, V = 4000

If t=17, V = 4250

If t=18, V = 4500

If t=19, V = 4750

If t=20, V =5000

Now, we just have plot these 20 coordinates

The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.

A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.

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Simplify 8/-4 ÷ -3/9 . (5 points)

Question 10 options:

1)

6

2)

-6

3)

12

4)

-12

Answers

Answer:

1)

Step-by-step explanation:

8/-4 ÷ -3/9

8/-4 × 9/ -3 = 6

Write 0.6951 as a fraction.

Answers

Answer: 6951/10000

Step-by-step explanation:

Answer:

6951/10000

Step-by-step explanation:

This cannont be simplified anymore.


Mai earns $7 per hour mowing her neighbors' lawns. She also earned
$14 for hauling away bags of recyclables for some neighbors. Priya
babysits her neighbor's children. She earns $8.40 per hour. Priya and
Mai have agreed to go to the movies the weekend after they have
earned the same amount of money for the same number of hours. How
many hours do they have to work before they can go to the movies?
How much will they have earned?

Answers

Give me a second to answer this brb

Answer:

10 hours, $84

Step-by-step explanation:

System of equations is:

7x+14=y

8.4x=y

Substitute to get:

7x+14=8.4x

subtract 7x from both sides

14=1.4x

x=10

So they will have to have worked for 10 hours

8.4*10=y

84=y

So they will have earned 84 dollars each

x=10 y=84

The recommended maximum target heart rate while you exercise can
be determined by your age using the equation y = -0.852 + 187
where y is the maximum beats per minute and a is your age in
years. Determine the maximum target heart rate for a person who is 18
years old. Do not round your answer.

Answers

The answer will be 171.7 hope is helps :)

Bob's average golf score at his local course is 93.6 from a random sample of 34 rounds of golf. Assume that the population standard deviation for his golf score is 4.2. The 90% confidence interval around this sample mean is:_______.
a. (92.4, 94.8).
b. (89.0, 98.3).
c. (90.5, 96.7).
d. (93.2, 94.0).

Answers

Answer:

a. (92.4, 94.8)

Step-by-step explanation:

Given that:

Mean (m) = 93.6

Standard deviation (σ) = 4.2

Sample size (n) = 34

α = 90%

Confidence interval around sample mean :

Mean ± Zstatistic * s/√n

Z0.90 = 1.645 (Z probability calculator)

s / √n = 4.2 / √34 = 0.7202940

Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4

Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8

Which of the following can be used to evaluate the series 9 k=1 2(4) k=1?

Answers

Answer:

Option (3)

Step-by-step explanation:

Given expression represents the sum of k terms of a geometric sequence.

[tex]\sum_{k=1}^{9}2(4)^{k-1}[/tex]

Since, formula to calculate the sum of a geometric sequence is given by,

[tex]\sum_{n=1}^{n}a(r)^{n-1}=\frac{a(1-r^n)}{1-r}[/tex]

By this formula,sum of 9 terms of the given sequence will be,

[tex]\sum_{k=1}^{9}2(4)^{k-1}=\frac{2(1-4^9)}{1-4}[/tex]

Therefore, Option (3) will be the answer.

Answer:

Thank you for your service! This was super helpful.

Step-by-step explanation:

(:

Which of these tables is a ratio table?

Answers

B

Step-by-step explanation:

you have to divide the numbers to see if they equivalent.

Which situation can be represented by the inequality 6x + 15 100?

GIMMIE THA MFKEN ANSWER!!!!!!!!

Answers

Answer:

Bill’s Electric Company charges $6 per hour plus a flat rate of $15 for a service call. If Monica has at least $100 to spend, how many hours can the service man work?

Step-by-step explanation:

here is the mfken answer, have a great day :)

Answer: Bill charges $6 per hour. $15 for a flat-rate service call.

it's A.

Match the equation with its graph. 3 SX-2 4​

Answers

Answer:

Step-by-step explanation:

hello

15 PIONTS! HELP ASAP >3
What is the value of 2 - (-2)?

Answers

Answer:

4

Step-by-step explanation:

key = leave, change, opposite

leave the first value

change the minus sign to a plus sign

change the second value to its opposite, which is 2

2+2=4

therefore it is 4.

A plane flew for 2 hours at 467 mph and 5 hours at 536 mph.How far did the plane fly in miles?

Answers

Answer: 3614 miles

Explanation:
2(467)=934
5(536)=2680

then add both those answers to find the total miles flown.
ie: 934+2680

which of the following set represent nam?​

Answers

whats the set ????????

what is 3% increase of 775 dollars?​

Answers

Answer:

23.25

Step-by-step explanation:

Given b = - 14 which equation is true
A. -28 + 2b = 53
B. 2b + 7 = 20
C. 6/7 + 18 = 16
D. b/2 + 7.4 = 1.4

Answers

Answer:

b/2 + 7.4 = 1.4 thus D. is the answer

Step-by-step explanation:

Solve for b:

b/2 + 7.4 = 1.4

Put each term in b/2 + 7.4 over the common denominator 2: b/2 + 7.4 = b/2 + 14.8/2:

(b/2 + 14.8/2) = 1.4

b/2 + 14.8/2 = (b + 14.8)/2:

((b + 14.8)/2) = 1.4

Multiply both sides of (b + 14.8)/2 = 1.4 by 2:

(2 (b + 14.8))/2 = 2×1.4

(2 (b + 14.8))/2 = 2/2×(b + 14.8) = b + 14.8:

b + 14.8 = 2×1.4

2×1.4 = 2.8:

b + 14.8 = 2.8

Subtract 14.8 from both sides:

b + (14.8 - 14.8) = 2.8 - 14.8

14.8 - 14.8 = 0:

b = 2.8 - 14.8

2.8 - 14.8 = -12:

Answer: b = -12

Cecilia bought 5 games of
bowling for $25 and Frankie
bought 7 games for $42.
Which is the better buy?

Answers

The better buy is 7 games for $42

What is f(-3) for the function f(x) = -5x - 7? ​

Answers

f(x) = -5(-3) - 7
15 - 7
f(-3) = 8

graph x-5y=20
please show me the steps

Answers

Simplify
5y=-x+20
Y=-1/5+4
On the y-axis of the graph go to 4 (0,4)
Then you will do down 1 and then go 5 right and keep repeating down 1 right 5 from the last point u plotted until you can’t plot anymore.

Got this due by tomorrow.​

Answers

Answer:

f(-1)= 2 f(-3) = -2 f(0)= 4 ( x is -8)

Step-by-step explanation:

replace x with the number and then solve from there

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