Peyton is going to invest $9,700 and leave it in an account for 16 years. Assuming the interest is compounded continuously, what
1 answer:
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Answer:
Step-by-step explanation:
Given the ratio
5 m : 20 m ← divide both parts by 5
= 1 : 4
= ← as a fraction in simplest form
The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
<h3>How to determine the simplified product?</h3>The complete question is added as an attachment
From the attached figure, the product expression is:
2√8x³(3√10x⁴ - x√5x²)
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)
Evaluate the products
2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)
Open the bracket
2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x
Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
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<em><u>The expression that describes the number of tickets won by Lily is:</u></em>
a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben
<em><u>Solution:</u></em>
Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes
Let "a" be the number of tokens won by Lily
Let "b" be the number of tokens won by Louis
Let "c" be the number of tokens won by Ben
<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>
So we can frame a equation as:
number of tokens won by Louis = 4.5 times as many tokens as Ben
number of tokens won by Louis = 4.5 x number of tokens won by Ben
b = 4.5c
<em><u>Given that Lily won 8 more tokens than Louis</u></em>
number of tokens won by Lily = 8 + number of tokens won by Louis
a = 8 + b
Substituting the value of b = 4.5c in above expression
a = 8 + 4.5c
Thus the expression that describes how many tokens Lily won is found