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3 years ago

Estimate the percent of the number. 11% of 504

Mathematics

2 answers:

solmaris [256]3 years ago

5 0

55 is the estimated answer

kodGreya [7K]3 years ago

3 0

Answer:

Step-by-step explanation:

11% is very close to 10%. 10% of 504 is just 50.4. So if 1% of 504 is about 5, then we can say that 11% of 504 is about 55.

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The sum of the second and third terms of G.P is six times the fourth term. Find the two possible values of the common ratio

andrew-mc [135]

Answer:

Step-by-step explanation:

Let “a” be the first term and ”r” the common ratio of the GP. Then,

f(n) = ar^(n - 1).

f(2) + f(3) = 6f(4). (given)

ar + ar^2 = 6ar^3, or

1 + r = 6r^2, or

6r^2 - r - 1 = 0,

(3r + 1)(2r - 1) = 0.

r = -1/3, or 1/2.

If the common ratio is positive and the second term is 8 we have,

ar = 8, or

a*1/2 = 8, or a = 16.

f(n) = 16*(1/2)^(n - 1) = 2^4*2^(1 - n), or

f(n) = 2^(5 - n).

The first six terms of the GP are : 16, 8, 4, 2, 1, 1/2,…

××××××××××

Checking : f(2) + f(3) = 6f(4), (given).

LHS = 8 + 4 = 12.

RHS = 6* 2 = 12.

LHS = RHS.

8 0

2 years ago

Abigail is 54. Inches tall which of the following is Abigail height

Tresset [83]

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

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3 years ago

Drag each tile to the correct box.

rodikova [14]

Answer: C < B < A

<u>Step-by-step explanation:</u>

First, let's evaluate the growth rate of A from [1, 3]

$f(x) = 200\bigg(\dfrac{3}{2}\bigg)^1$

= 300

coordinate is (1, 300)

$f(x) = 200\bigg(\dfrac{3}{2}\bigg)^3$

= 675

coordinate is (3, 675)

Average growth rate (AGR) is: $\dfrac{675-300}{3-1} = \dfrac{375}{2} = 187.5$

AGR (A) = 187.5

*************************************************************************************

Next, let's evaluate the growth rate of B from [1, 3]

The coordinates are already provided as (1, 120) and (3, 480)

Average growth rate (AGR) is: $\dfrac{480-120}{3-1} = \dfrac{360}{2} = 180$

AGR (B) = 180

*************************************************************************************

Lastly, let's evaluate the growth rate of C from [1, 3]

f(x) = 600(1.2)ˣ

f(x) = 600(1.2)¹

= 720

coordinate is (1, 720)

f(x) = 600(1.2)³

= 1036.8

coordinate is (3, 1036.8)

Average growth rate (AGR) is: $\dfrac{1036.8-720}{3-1} = \dfrac{316.8}{2} = 158.4$

AGR (C) = 158.4

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3 years ago

A restaurant offers a dinner special in which diners can choose any one of 3 appetizers, any one of 4 entrées, any two different

Kitty [74]

360 different choices

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3 years ago

In combining like terms with fractions what would this be 1/2k - 3/8k =

DanielleElmas [232]

Answer:

Step-by-step explanation:

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4/8k - 3/8k = 1/8k <===

6 0

3 years ago

Estimate the percent of the number. ​11% of 504

Estimate the percent of the number. 11% of 504