consider the infinite geometric series below.
a. write the first four terms in the series
b. does a series diverge or converge
c. it's a series has a sum, find the sum
​

Answer:x=2.28

X=0.22

Step-by-step explanation:

Carol should refinance is D. Yes; the new blended interest rate is lower than the old interest rate.

First, let's understand the 80/20 mortgage breakdown:

Next, we calculate the blended interest rate for the new mortgage:

[tex]\text{Blended Rate} = (0.80 \times 4.5\%) + (0.20 \times 9.5\%)[/tex]

a. Calculate each part:

b. Add these results to get the blended rate:
[tex]3.6\% + 1.9\% = 5.5\%[/tex]

So, the blended interest rate for the new mortgage is 5.5%.

Now, compare this with Carol's current fixed-rate mortgage interest rate of 6.25%:

The new blended interest rate (5.5%) is lower than the old interest rate (6.25%). Therefore, based on the interest rates alone, Carol should refinance.

Answer:

there is no pic

Step-by-step explanation:

Answer:

i need a picture.

Step-by-step explanation:

Answer:

  70°

Step-by-step explanation:

The exterior angle XYZ is the sum of the remote interior angles, W and X.

  115° = 45° + ∠W

  ∠W = 115° -45°

  ∠W = 70°

Answer:

[tex]\sqrt{60} [/tex]

Step-by-step explanation:

[tex]60^{1/2} [/tex] means [tex](\sqrt{60} )^{1} [/tex]

Answer:

It could be both 2 positives, or 2 negatives.

Step-by-step explanation:

This is because a negative times a negative is a positive, and a positive times a positive is a positive.

If the product of two integers is positive, their signs can be either positive or negative.

If the product of two integers is positive, their signs are positive or negative.

To understand this, we need to consider the rules for multiplying integers. When we multiply two positive numbers or two negative numbers, the result is always positive. However, when we multiply a positive number and a negative number, the result is always negative.

For example, if we multiply +3 and +4, the result is +12. If we multiply -3 and -4, the result is also +12. But if we multiply +3 and -4, the result is -12.

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Answer:

27/12

Step-by-step explanation:

Answer:

27/12

Step-by-step explanation:

Answer:

choice a.) 4.67

Step-by-step explanation:

Using the Z-score table.

We have:

mean u = 40

standard deviation s  = 3

for X = 54

Use formula for Z-score:   Z = (X -u)/s

Z-score = Z = (X - u)/s  = (54 - 40)/3 = 14/3 = 4.6667

P(Z > 4.6667) = 0.000003   very close to 0

Answer:A

Step-by-step explanation:

The  volume of the composite solid is A---2,155.48 m

For this case we have that by definition, the volume of a cylinder is given by:

[tex]V = \pi * r^{2} *h[/tex]

Where:

V: It's the volume

r: It is the radius of the cylinder

h: It is the height of the cylinder

We have to:

[tex]V = \pi * (7.2)^{2} * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 m^{3}[/tex]

On the other hand, the volume of the cone is given by:

[tex]V = \frac{\pi * r^{2} * h }{3}[/tex]

V: It's the volume

r: It is the cone radius

h: It is the height of the cone

We have:

[tex]V = \frac{\pi * (7.2)^{2} * 11 }{3}[/tex]

[tex]V = \frac{\pi * 51.84 * 11 }{3}[/tex]

[tex]V = 597.153931594347 m^{3}[/tex]

Thus, the total volume is given by:

[tex]V = 2551.47588954 m^{3}[/tex]

If we round up we have:

[tex]V = 2551.48 m^{3}[/tex]

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Answer:

Its A

Step-by-step explanation:

Got it right  on EDGE 2021 :D

Answer: A

Step-by-step explanation:

hope this helps and here is proof

Answer:

2x-106

Step-by-step explanation:

-7(x+10)+9(x-4)

Expand parentheses:

-7x-70+9x-36

Combine like terms:

2x-106

Hope this helps!

Answer:

2x - 106    (or   x - 53)    i hope this helps!   :)

Step-by-step explanation:

-7(x + 10) + 9(x - 4)

you need to distribute the -7 with the x and the 10

-7x - 70 + 9(x - 4)

distribute the 9 with the x and -4

-7x - 70 + 9x - 36

combine like terms   first the x values

2x - 70 - 36

combine like terms

2x - 106

i dont remember if you  divide both by two or not

x - 53   if so x - 53 is the answer

Answer:

14 people read more thin 3 hours

Step-by-step explanation:

Answer:

it is 14

Step-by-step explanation:

hope this helps. :)

Answer:

41.9

Step-by-step explanation:

Answer:

40.7

Step-by-step explanation:

add all of the masses together and the divide that answer by how many chairs there are

Among the given tables, only the table with y-values doubling as x increments by 1 represents an exponential function. This is characterized by a constant proportional rate of change in the y-values in relation to x.

The question asks to identify which of the given tables models an exponential function. An exponential function is a mathematical function in the form [tex]f(x) = a · b^x,[/tex] where a is not zero, b is a positive real number not equal to 1, and x is any real number. The key characteristic of an exponential function is that the rate of change (the increase or decrease) is proportional to its current value, meaning as x increases, the value of y increases or decreases at a rate proportional to its current value.

x   y
0 5
1 7
2 9
3 11

This does not represent an exponential function because the increase in y is linear.

x   y
0 5
1 10
2 20
3 40

This table models an exponential function since each y-value is doubling as x increases by 1.

x   y
0 5
1 6
2 8
3 11

This does not model an exponential function because the growth does not follow a constant ratio.

x   y
0 5
1 10
2 15
3 20

This also does not represent an exponential function as the increase in y is linear, similar to the first table.

Therefore, the table that models an exponential function is the one where the y value doubles as x increments by 1.

Step-by-step explanation:

876.64 in word form would be eight hundred seventy six point sixty four

Answer:

eight hundred and seventy six and sixty four hundredths.

How to get the answer:

To get the answer you would first start with the digits on the left. Then you would need to look at what place that digit is and what that corresponds to. For example the number 10, so you would first look at the number 1, the number is 2 places to the left of the decimal point and so would be in the tens  column, this tells you that the first word would be ten and if there is a 0 then you would skip that word.

Answer:

A

Step-by-step explanation:

e2020

:)

The question is about calculating how much money Billy will have left after buying four pieces of bubble gum which costs $.30 each from his $3.00. After buying the bubble gum, Billy will have $1.80 left.

The subject of the question is a simple mathematical problem related to Billy's purchase of bubble gum. Billy has $3.00 and purchases four pieces of bubble gum, which costs $.30 per piece. To calculate how much money Billy will have left after buying gum, you first need to figure out how much he spent on the bubble gum. Since bubble gum costs $.30 per piece and Billy bought four pieces, the total cost for the bubble gum is 4 * $.30 = $1.20. After buying the bubble gum, Billy will have $3.00 - $1.20 = $1.80 left.

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Answer:

p=22 a=28

Step-by-step explanation:

Look at the attached picture

Hope it will be helpful to you

The probability that the flashlight will be either blue or black is,

⇒ 20/30

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights.

Hence, Total number of flashlights are,

⇒ 18 + 3 + 7 + 2

⇒ 30

So, the probability that the flashlight will be blue is,

⇒ 18 / 30

And, the probability that the flashlight will be black is,

⇒ 2 / 30

Hence, the probability that the flashlight will be either blue or black is,

⇒ 18/30 + 2/30

⇒ 20/30

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The probability of flashlight to be black or blue is 2/3. To find the probability of selecting a blue or black flashlight from a box, add the number of blue and black flashlights, then divide by the total number of flashlights.

We first find the total number of blue and black flashlights, which is 18 (blue) + 2 (black) = 20.

Then, we divide this by the total number of flashlights in the box (18 + 3 + 7 + 2 = 30) to get the probability.

The probability of choosing a blue or black flashlight is 20/30 = 2/3 = 0.67.

Answer: 618400 and 10 to the power of 5 has 5 zeros.

Answer:

its 10 points

Step-by-step explanation:

Answer:

a) 21/50

Step-by-step explanation:

Answer

Caythlyn patter will be

3

7

15

mina pattern will be

4

9

19

Step-by-step explanation:

all your doing is multiply and then adding because an number time 1 is the number it is multiplied by. and then keep adding and mutiply on to find you answer

(p.s im not sure so i hope its right I tried)

Answer:

alternate exterior angles

Step-by-step explanation:

hope this helps

Answer:

Alternate Exterior Angles

Step-by-step explanation:

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Answer:

2x^(2)+x-6

Step-by-step explanation:

Answer:

x = 11

1/2 =x

Step-by-step explanation:

1) 2(x - 5) + 7 = x + 8

Distribute

2x-10+7 = x+8

Combine like terms

2x -3 = x+8

Subtract x from each side

2x-x-3 = x+8-8

x -3 = 8

Add 3 to each side

x-3+3 = 8+3

x = 11

2) 5(x - 1) - 6x = -11x

Distribute

5x-5-6x = -11x

Combine like terms

-x-5 = -11

Add x to each side

-x+x -5 = -11x +x

-5 = -10x

Divide each side by -10

-5/-10 = -10x/-10

1/2 =x

Answer:

1) x = 11

2) x = ½

Step-by-step explanation:

1) 2(x - 5) + 7 = x + 8

2x - 10 + 7 = x + 8

2x - 3 = x + 8

x = 11

2) 5(x - 1) - 6x = -11x

5x - 5 - 6x = -11x

-5 - x = -11x

10x = 5

x = ½

Answer:

$300.00

Step-by-step explanation:

If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500

Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

20 - 10 = 10

Answer:

you still have 20 because they are your cookies if i had 20 and you took  10 away it would be tend but since your taking your own cookies its 20 unless you eat them

Answer:

16

Step-by-step explanation:

We can use the Pythagorean theorem to find the  height

a^2 + b^2 = c^2 with a and b legs and c the hypotenuse

The triangle is a right triangle with legs GH and FG and hypotenuse FH

FG^2 + GH^2 = FH^2

FG ^2 + 12^2 = 20^2

FG^2 +144 = 400

Subtract 144 from each side

FG^2 +144-144 = 400-144

FG^2 =256

Take the square root of each side

sqrt(FG^2) =sqrt(256)

FG = 16

Answer:

16

Step-by-step explanation:

Use the slanted height of 20ft