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8.1.2 Compound Interest 8-18. Homework

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8.1.2 Compound Interest 8-18. Homework
8.1.2 Compound Interest
Homework
8-18. Rachel has been given $1000 to put into a savings account. She earns 2% simple
interest every month. Rachel hopes to buy a car in two years. Help Rachel determine
whether she will have enough money if the car will cost $1500.
Rachel will have $1480, so she will still be $20 short
8-19. Copy and complete the table at right for powers of 10.
a. Use the pattern in the completed table to decide how
many zeros 107 will have. How many zeros will
1023 have?
7 zeros, 23 zeros
b. How would you tell someone to write 1050? Do not
actually write the number; just write a sentence telling
someone how he or she would write it.
Write the 1 with 50 zeros after it
8-20. Jack noticed a sale on his favorite model of All-Terrain Vehicle (ATV). The salesperson
said the company was cutting the price for that weekend, so Jack got an 8% discount.
a. If the usual price of the ATV was $4298, estimate how much the discount will be.
Explain your reasoning.
Possible estimate: about $300. Full price is about $4300, and 10% of that is $430;
five percent would be $215; 8% is roughly in the middle
b. Calculate the amount Jack did pay with the 8% discount.
$3954.16
c. If the store sold three of the ATVs that weekend, how much money was saved by the
three customers combined?
$1031.52
8-21. The choir is planning a trip to the water park, and the
parents are trying to determine how much to charge each
child. The cost to use a school bus is $350. Complete the
table at right, graph your results, and then answer parts (a)
and (b) below.
a. Think back to your work with proportions. Is this a
proportional relationship?
No
b. Is there an association between the number of students
and the cost per student? If so, describe it. Consider the
form, direction, and outliers in your description.
Yes, there is an association because for every extra
student who goes on the trip, the cost decreases for all
the students. Non-linear negative association; the association is very strong; there is
no
scatter at all in this relationship
8-22. Simplify each expression.
a. − +
-13/60
b.
11/36
+ (− )
c. − ·
-11/28
d. −1 ·
-4/3
8-23. Graph these points on a coordinate grid and connect them to make a
triangle: (0, 1), (3, 2), (2, 4). Then:
a. Dilate the shape by a scale factor of 2.
b. List the coordinates of the new vertices.
(0, 2), (6, 4), and (4, 8)
c. What do you notice about the side lengths of the two shapes?
The sides of the new shape are twice as long as those of the original shape
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