Sat questions

<p>1.Inside a rectangular box, two identical spheres of radius r are tangent to each other and each touches five of the six sides of the box. What is the volume of the box in terms of r?</p>

<p>A.4/3r^3
B.8/3r^3
C.4r^3
D.8r^3
E.16r^3</p>

<p>2.The purchase of a new car varies inversely with the cost to maintain the car for 10 years. If the purchase price of a new Brand X car is $35,000, and it will cost $7,000 to maintain the car for 10 years, what is the purchase price, in dollars, of a new Brand Y car that will cost $5,000 to maintain for 10 years?</p>

<p>A.$33,000
B.$35,000
C.$37,000
D.$45,000
E.$49,000</p>

<p>3.In the xy-coordinate plane, circle A is centered at the origin and has a radius of 5. For how many points on circle A is the sum of the x-coordinate squared and the y-coordinate squared greater than 20?</p>

<p>A. 0
B. 4
C. 5
D. 8
More than 8</p>

<p>4.a highschool class is made up of sophomores, juniors, and seniors in the ratio of 3 to 4 to 5 respectively. What fraction of the class is made up of juniors?</p>

<p>a.1/12
b.⅙
c.¼
d.⅓
e.½</p>

<p>5.the performance of a certain stock can be modeled by the equation d(t)= 2000(1.2)^t. If d(t is the amount of money the stock is currently worth, and t is the amount of years after the initial investment, how has the value of the stock changed after 24 months?</p>

<p>A.decreased by $2880
b.decreased by $120
c.increased by $400
d.Increased by $880
e.Increased by $2880</p>

<p>A rectangular box ice constructed from 10 square tiles, each of which has a perimeter of 24cm. If the box is formed so that the tiles do not overlap, what is the volume of the box in cubic cm?</p>

<p>A.432
B.288
C.240
D.216
E.36</p>

<p>11, x, y, 83,….
In the sequence above, the first term is 11 and the difference between any two consecutive terms is always the same number. What is the 6th term of the sequence?</p>

<p>8.nationwide, 4.2 million viewers tuned in to the news broadcast on either Network A or Network B. The broadcast on network A attracted 87000 more viewers on network B. What percent of the 4.2 million viewers tune into the news on network A?</p>

<p>A.49%
B.50%
C.51%
D.52%
E.53%</p>

<p>9.Which of the following is equal to 4(little 4)√5^8
A.5^1/2
B.5^2
C. 5^4
D. 5^12
5^32</p>

<p>A: (2,5,7,9)
B: (3,5,7,10)
C: (5,7)
10.Which of the following is true of sets, A,B,and C shown above?
A. A is the union of B and C
B. A is the intersection of B and C
C. B is the union of A and C
D. C is the intersection of A and B
E. C is the union of A and B</p>

<ol>
<li>The box is exactly 4 radiuses long, 2 high, and 2 wide. You can draw a picture to visualize. 4r<em>2r</em>2r = 16r^3, or E</li>
</ol>

<ol>
<li>Add all three up: 3+4+5=12. Take Junior divided by total: 4/12 = 1/3, so D.</li>
</ol>

<p>When t=0, the value is 2000 (since 1.2^0 is 1). After two years, the value is 2000(1.2)^2=2880. 2880-2000=880, or D.</p>

<p>Oops problem above ^ is 5.</p>

<p>Sorry for all the posts! I’m kind of off and on CC.</p>

<ol>
<li>It’s hard to explain without a visual, but imagine a box with two tiles on four sides and 1 tile on the other 2 sides. The side length of each tile is 6 because the perimeter is 24. So the dimensions of the box are 6x6x12 (or 6<em>1 by 6</em>1 by 6*2). 6x6x12=432, so A.</li>
</ol>

<ol>
<li>To find x and y, first do 83-11=72. Since 83 is three terms after 11, do 72/3=24. This means add 24 to each term. The 5th term is 107, and the 6th is 131.</li>
</ol>

<ol>
<li> A+B=4,200,000. And A-87,000=B. Substitute A-87,000 into the first equation for B: A+A-87,000=4,200,000. Simplify: 2A=4,287,000 A=2,143,500. Divide 2,143,500/4,200,000 to get the percent, 51%, so C.</li>
</ol>

<ol>
<li>To simply powers and square roots, divide the 8 by the little 4. So 5^2. (B)</li>
</ol>

<ol>
<li> 5 and 7 are common to A and B. Therefore, C is the intersection of A and B.<br>
Answer: D</li>
</ol>

<ol>
<li> We set up an inverse proportion</li>
</ol>

<p>x / 35000 = 7000 / 5000</p>

<p>Solving for x by multiplying both sides with 35000, x = 49000
Answer: E</p>

<ol>
<li>Using the distance formula or the equation of a circle with the center at the origin, </li>
</ol>

<p>x^2 + y^2 = 5^2 = 25 for all points on the circle</p>

<p>All points on the circle will have x^2 + y^2 = 25 > 20
There are an infinite number of points on the circle.
Answer: E</p>