Answer:
Step-by-step explanation:
Step 1;
Write expression
By remainder theorem:
f(x) = x³ - 2
factor, x - 1 = 0
x = 1,
Remainder = f(1)
f(x) = x³ - 2
f(1) = 1³ - 2 = 1 - 2 = -1.
Hence remainder is = -1.
Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
The value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.
<h3>What is a reduction in value?</h3>
The change in the value of the new boat can be described as a reduction in value, which is akin to the depreciation of the initial value.
The reduction means that the value of the boat fell after the first year of use.
The reduction or change in value and the new value after the first year can be computed as follows:
<h3>Data and Calculations:</h3>
Purchase price = $61,014
Change in value after first year = -2/19
Change in value (dollars) = $6,422.53 ($61,014 x 2/19)
Value after the first year = $54,591.47 ($61,014 - $6,422.53)
Thus, the value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.
Learn more about reduction in the value of an asset at brainly.com/question/25806993
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<em>To convert decimal number 1</em><em>2</em><em>3</em><em> to quinary, follow these steps:</em>
<em>1</em><em>.</em><em> </em><em>Divide 1</em><em>2</em><em>3</em><em> </em><em>by 5 keeping notice of the quotient and the remainder.</em>
<em>2</em><em>.</em><em>Continue dividing the quotient by 5 until you get a quotient of zero.</em>
<em>3</em><em>.</em><em> </em><em>Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 1</em><em>2</em><em>3</em><em>.</em>