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 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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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

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

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

Answer:

A

Step-by-step explanation:

58.3 is the possibility :)

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

Step-by-step explanation:

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

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

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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Answer:

23.25

Step-by-step explanation:

B

Step-by-step explanation:

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

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

Answer:

Step-by-step explanation:

hello

Answer: 6951/10000

Step-by-step explanation:

Answer:

6951/10000

Step-by-step explanation:

This cannont be simplified anymore.

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

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.

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

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.

Answer:

-5

Step-by-step explanation:

When you subtract a negative you end up adding it instead

Answer:

1)

Step-by-step explanation:

8/-4 ÷ -3/9

8/-4 × 9/ -3 = 6

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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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.

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:

(: