Page 763 - Algebra 1
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Compound Interest The formula for a fund that compounds interest is _r nt
An = P(1 + n ) , where A is the balance, P is the initial amount deposited, r is the annual interest rate, t is the number of years, and n is the number of times the interest is compounded per year. Gretchen deposits $1500 into an account that pays 4.5% interest compounded annually. Write the first 4 terms of the sequence representing Gretchen’s balance after t years. Round to the nearest cent.
Solve √ x + 1 1 = 16. Check your answer.
Analyze Are the graphs for f(x) = 5|x| and f(x) = |5x| the same? Explain.
_x 2
Solve the equation 9⎪2 - 6⎥ = 27. 26. Factor x + 42 + 13x.
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Multi-Step Lisa plans to shop for books and magazines and she plans to spend no more than $32. Each book costs $14 and each magazine costs $4.
a. Write an inequality that describes this situation.
b. Graph the inequality.
c. If Lisa wants to spend exactly $32, what is a possible number of each she can
spend her money on?
Volleyball Diego hits a volleyball into the air. The ball’s movement forms a
parabola given by the quadratic equation h = -16t2 + 3t + 14 where h is the height in feet and t is the time in seconds. Find the maximum height of the path the volleyball makes and the time when the volleyball hits the ground. Round to the nearest hundredth.
Multi-Step When the temperature (t) of the gas neon is within 1.25° of -247.35°C it will be in a liquid form. This can be modeled by the absolute-value inequality |t - (-247.35)| < 1.25.
a. Solve and graph the inequality |t - (-247.35)| < 1.25.
b. One endpoint of the graph represents the boiling point of neon, the temperature at which neon changes from liquid to gas. The other endpoint represents the melting point, at which neon turns from solid to liquid. The higher temperature is the boiling point and the lower temperature is the melting point. What is the boiling point of neon? What is the melting point?
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Measurement The following formula represents the area of circle A: πr2 - 165.05 m2 = 0. What is the approximate measurement, in meters, of the radius r? Use 3.14 for π.
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Saxon Algebra 1
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