(4) 7. The cost of a ticket \( t \) to a concert with a \( 3 \% \) sales tax can be repreșent by the expression \( t + 0.03 t \) . Simplify the expression. Then determine \( t \) total cost after the sales tax if the original price is \( \$ 72 \) . (Example 4)
t+0.03t=1.03t
An architectural drawing lists the scale as \( 1 / 4 ^ { \prime \prime } = 1 \) '. If a bedroom measures \( 3 \frac { 1 } { 2 } " \) by \( 5 \frac { 1 } { 4 } \) " on the drawing, how large is the bedroom?
A. \( 7 ft \) by \( 10.5 ft \)
B. \( 10 ft \) by \( 15 ft \)
C. \( 20 ft \) by \( 30 ft \)
D. \( 14 ft \) by \( 21 ft\)
A dilation has center \( ( 0,0 ) \) . Find the image of each point for the given scale factor.
\( A ( 3,4 ) ; D _ { 7 } ( A ) \)
A. \( ( 10,11 ) \)
B. \( ( 21,28 ) \)
C. \( ( 28,21 ) \)
D. \( ( 11,10 ) \)
The daily production level for a product is given by \( N ( x ) = 150 - 150 e ^ { - 0.2 x } \) units, where \( x \) is the time in hours after production begins. Find the average production during the first \( 8 \) hours. Enter your answer in exact form or rounded to the nearest whole number.
Given the function \( f ( x ) = - 6 ( x - 6 ) ^ { 2 } ( x + 7 ) ^ { 7 } ( x - 4 ) \)
its roots are ____
and their multiplicities are ____
A family has \( \$ 35 \) to spend on dinner. They spend \( \$ 18 \) on entrees. Side dishes are \( \$ 3 \) each. What is the greatest number of side dishes they can buy?
\( 4 \)
\( 5 \)
\( 6 \)
\( 7\)