Find the unit rate. A dozen cookies sells for $5.12. Round to the nearest cent.
2 answers:
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<u>Given:</u>
A triangular piece is cut out of a rectangular piece of paper to make the class banner.
<u>To find:</u>
The area of the class banner.
<u>Solution:</u>
The rectangular piece of paper is 14 inches long and inches wide.
From the given diagram, the triangle has a base length of the same 8 inches and has a height of inches long.
To determine the area of the banner, we subtract the area of the triangle from the area of the rectangle.
The area of a triangle
The area of the triangle square inches.
The area of a rectangle
The area of the rectangle square inches.
The area of the class banner square inches.
So the banner has an area of 100 square inches which is the first option.
The mass percent of an element in a compound can be calculated by knowing specific items of information
The items of information necessary are;
- The molar mass of the element,
- The count of the number of moles of the element in the compound, <em>n</em>
- The compound's formula
- The compound's molar mass
Reasons:
The mass percent of an element in a compound is given as follows;
Where;
= Molar mass of the element
= Molar mass of the compound
n = The number of moles of the element in the compound
Therefore, the items of information necessary to calculate the mass percent in a given compound are;
- The molar mass of the element,
, gives the mass per unit of the element in the compound
- The count of the number of moles of the element in the compound, <em>n</em>
The number of moles of the element per mole of the compound gives the number by which the molar mass is multiplied, to get the mass of the element in the compound
- The compound's formula
The formula of the compound is the source of information of the number of moles of the element present in a mole of the compound
- The compound's molar mass
The molar mass of the compound is the mass to which the mass of the element in a mole of the compound is a fraction. That is the mass that divides the mass of the element in the calculation of the mass percent of the element
With the above information about the element in the compound, its mass percent can be calculated
Learn more here:
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
