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3 years ago

A pencil costs $0.60 plus sales

Mathematics

1 answer:

lord [1]3 years ago

8 0

Answer: 5%

Step-by-step explanation:

To find the sales tax, find the difference between before and after tax:

0.63 - 0.60 = 0.03

To find the percentage, divide the difference by the cost of the product:

0.03/0.60 = 0.05

Multiply by 100 to find percent sales tax:

0.05 x 100 = 5%

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What would 2 x (x-3) sum be

brilliants [131]

Answer:

2x-6 I think

Step-by-step explanation:

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2 years ago

Simplify the logarithm log2(32)

Rom4ik [11]

let log2 32 = x

then 2^x = 32

but we know 2^5 = 32

therefore, x = 5

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3 years ago

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Ryan wanted to know the height of a cell-phone tower neighboring his property he walked 80 feet from the base of the tower and m

spin [16.1K]

Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.
Since the given is 54 degrees.
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4 years ago

15% of $3.50 useing proportion

Otrada [13]

Answer:

0.525

Step-by-step explanation:

\frac{x}{3.50}=\frac{15}{100}

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3 years ago

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Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can b

Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

$A(t) = 11.19(1.009)^t$

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, $t=0$ and in 2014, $t=14$ . Mathematically,

$\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}$

$A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107$

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm $y=a^x$ (where $a$ is a constant) is $\dfrac{dy}{dx}=a^x\ln a$ . Let's use in this in finding the derivative of $A(t)$ .

$A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009$

In the year 2014, $t=14$ .

$A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114$

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3 years ago