Grace order groceries worth $49.65. About how much should she spend for 12% home delivery charges?
1 answer:
Answer:
The money spend for home delivery charges are $6 (an approximate value of $5.958).
Step-by-step explanation:
Given:
Groceries worth $49.65. Home delivery charges is 12%.
According to question:
12% of $49.65
So, the price of the delivery charges = $5.958.
Therefore, the money spend for home delivery charges are $6 (an approximate value of $5.958).
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Answer:
Option 3 - 4 miles
Step-by-step explanation:
Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.
To find : How far apart are the police station and the fire station?
Solution :
Let the distance between police station and fire station be 'x'.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
i.e.
The distance between the library and the police station is 5 miles.
i.e.
Therefore, The police and fire stations is 4 miles apart.
So, Option 3 is correct.
According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.
<h3>How to approximate the value of a irrational number by binomial theorem</h3>Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:
(1)
Where:
- a, b - Constants of the binomial.
- n - Grade of the power binomial.
- k - Index of the k-th element of the power binomial.
If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:
√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
To learn more on binomial expansions: brainly.com/question/12249986
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Answer:
f of x equals 7 times one eighth to the x power
Step-by-step explanation:
Given phrase,
function f of x equals 7 times one half to the 3 times x power,
By the power to power property of exponent,
That is,
= f of x equals 7 times one eighth to the x power