Find x:

A)3

B)2.5

C)4

D)7.5

The function b(t)= 4.891(1.331)^t is an exponential function

The function is given as:

b(t)= 4.891(1.331)^t.

2000 is 4 years from 1996.

This means that t = 4

So, we have:

b(4)= 4.891(1.331)^4

Evaluate

b(4)= 15.35

So, the percentage of executives in 2000 is 15.35

2001 is 5 years from 1996.

This means that t = 5

So, we have:

b(5)= 4.891(1.331)^5

Evaluate

b(5)= 20.43

Hence, the percentage of executives in 2001 is 20.43

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Answer:

60 cm²

Step-by-step explanation:

area of trapezium = 1/2(a + b) × h

= 1/2(6+14) × 6

= 20/2 × 6 = 10 × 6

= 60 cm²

Answer:

D

Step-by-step explanation:

The interquartile range is the difference between the last dot on the box and the first dot on the box.

20 - 40:

150 - 110 = 40

50 - 70:

125 - 95 = 30

Answer:

x = 105 degrees.

Step-by-step explanation:

The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =

135 degrees.

So angle x = 360 - ( 120 + 135)

= 360 - 255

= 105 degrees.

Note we use the fomula T = 180( n - 2)  to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.

Answer:

Either 74° and 32°

or 53° and 53°

Step-by-step explanation:

An isosceles triangle has at least two congruent angles.

There are two possibilities in this problem.

1)

The 74° angle is one of the two congruent angles.

Then, one other angle measures also 74°.

The third angle measures 180° - 74° - 74° = 32°

2)

The 74° is not one of the two congruent angles.

Then the other two angles are congruent.

180° - 74° = 106°

The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.

Answer:

Either 74° and 32°

or 53° and 53°

Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

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Answer:

6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18

Step-by-step explanation:

Answer:

16.5%

Step-by-step explanation:

The percentage increase in their spending on advertising will be 16.5%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Last year an organization spent a sum of £2400 on publicizing. This year they burned through £2796.

Then the percentage increase in their spending on advertising will be given as,

P = [(2796 - 2400) / (2400)] x 100

P = (396 / 2400) x 100

P = 0.165 x 100

P = 16.5%

The percentage increase in their spending on advertising will be 16.5%.

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Answer:

Area = 32 π in^2

Step-by-step explanation:

Area of the Circle : Area = 2 *π * r^2

diameter = 2 *radius

8 inches = 2 * radius

radius = 8 in/2 = 4 in

radius = 4 in

Area = 2 *π * r^2

Area = 2 *π * (4 in)^2

Area = 2 *π * 16 in^2

Area = 32 π in^2

Answer:

If you're using the exact number for pie then the answer is approximately 50.27. If you're using 3.14 for pie then the answer is 50.24.

Answer: 100 grams

Step-by-step explanation:

Mass remains constant. So 100 grams of water will be 100 grams of water vapor

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of Rectangular prism ~

[tex]\qquad \sf  \dashrightarrow \:length \times width \times height[/tex]

[tex]\qquad \sf  \dashrightarrow \:20 \frac{1}{2} \times 10 \frac{1}{2} \times 12 [/tex]

[tex]\qquad \sf  \dashrightarrow \:\frac{41}{2} \times \frac{21}{2} \times 12 [/tex]

[tex]\qquad \sf  \dashrightarrow \:{41}{} \times {21}{} \times3 [/tex]

[tex]\qquad \sf  \dashrightarrow \:2583 \: \: {m}^{3} [/tex]

Answer:

The answer is b. 4*3 2/5.

Step-by-step explanation:

It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.

Answer:

Blue-y=1/2-1

Red-x=-3

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

a proportional relationship when graphed always is a straight line that goes through the origin (0,0)

The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.

Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case

Answer:

The answer is 86000

Step-by-step explanation:

This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.

Answer:

  they are the same

Step-by-step explanation:

The number of guests seated were, in each case, ...

  (guests per table) × (number of tables)

__

For Santa, this product is ...

  X × Y

For Mrs. Claus, this product is ...

  Y × X

The commutative property of multiplication tells you that ...

  XY = YX

The numbers of guests were the same.

Answer:

-75 ft

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

-75

Step-by-step explanation:

hope this helped.

No explanation really is there to it.

Have a great day! :)

Answer:

260 cm²

Step-by-step explanation:

A=b×h

A=b×h=20·13=260

Step-by-step explanation:

solution

b=20 cm

h =13 cm

Area (a) = b ×h

a=20cm ×13 cm

so , a =260 cm square

Answer:

$21

Step-by-step explanation:

1) Find the amount spent.

"Two fifths" = 2/5

So, he spent 2/5 of 35.

= 2 x 35 / 5

= 70 / 5

= 14

2) Subtract 14 from 35, since 35 is the total amount of money he had.

= 35 - 14

= 21

Answer:

$21

Step-by-step explanation:

Given that:

Max went to a shopping mall with $35 in his wallet.

He spent two fifths of the money he had in his wallet at the bookstore.

To Find:

How much money, in dollars, did he have left?

Solution:

Let the left money that max have = x

Base on the given:

$35-(2/5)×$35=x

⇒ $35-($2×7)=x

⇒ $35-$14=x

⇒ x=$21

Hence, max has $21 left.

Kavinsky

Answer:

284*20

Step-by-step explanation:

since there are 284 boxes of each 20 books, 1box = 20 books then 284 boxes = (284*20) books

If factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.

Two or more expressions with an Equal sign is called as Equation.

Given that a factor delivered 284 boxes of books to stores.

There are 20 books in each box.

We have to find the number of books the factor deliver

To find this we have to multiply the number of boxes with the number of books in a box

Number of books deliver = 284×20

Two hundred eighty four times of twenty

Number of books deliver =5680

Hence, if factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.

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Answer:

x = -5

Step-by-step explanation:

Given:

[tex]\displaystyle \large{8x-5=5(x-4)}[/tex]

Distribute 5(x-4):

[tex]\displaystyle \large{8x-5=5x-20}[/tex]

Add both sides by 5:

[tex]\displaystyle \large{8x-5+5=5x-20+5}\\\displaystyle \large{8x=5x-15}[/tex]

Subtract both sides by 5x:

[tex]\displaystyle \large{8x-5x=5x-15-5x}\\\displaystyle \large{3x=-15}[/tex]

Divide both sides by 3:

[tex]\displaystyle \large{\dfrac{3x}{3}=\dfrac{-15}{3}}\\\displaystyle \large{x=-5}[/tex]

Therefore, your solution is x = -5

Answer:

x = -5

Step-by-step explanation:

Distributing the value in the RHS

Equating to the RHS

Bring x terms to the left and numbers to the right.

Divide both sides by 3.

Answer:

7

Step-by-step explanation:

Accurate information

The cube root function is negative on the interval (-∞, 5), so the correct option is b.

Here we have the cube root function:

g(x) = ∛(x - 5)

This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:

x - 5 < 0

x < 5

So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.

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Answer:

10 or 6

Step-by-step explanation:

pls tell me if im wrong

Answer:

21 + 3x

Step-by-step explanation:

3(7 + x) ← multiply each term in the parenthesis by 3

= 21 + 3x

Answer:

pi/4

Step-by-step explanation:

diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4

Answer:

I'm pretty sure it's 473 if that isn't correct Then what you do Is Divide it or Mutiply it if you still don't get your answer Be sure to Ask someone

Answer:

42miles per gallon

Step-by-step explanation:

since total gallons of fuel used is 11 gallons to travel 462miles,

per gallon will be 462/11 =42miles per gallon

Answer:

Answer not in the listed options....did you enter all of the info correctly ?

Step-by-step explanation:

6.0061 / 2.9638 = 2.026  times bigger