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MATH SOLVE
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A loan of $46,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $65,000 or more?
General
4 months ago
Craig measured these three rectangles.
General
4 months ago
3. In order to enter the state fair, there isan admission cost. Each game is $3.Steven went to the state fair, played4 games and spent a total of $20 onadmission and games. Assume therelationship is linear. Find and interpretthe rate of change and the initial value.
General
4 months ago
Assume that in October of a particular year about 215 billion text messages were sent or received in the US, and the prediction is that in the next month it will be a 13% increase. About how many will be sent or received in November of the same year? Rounded to the nearest tenth of a billion.
General
4 months ago
Brandon is an amateur marksman. When he takes aim at a particular target on the shooting range, there is a 0.1, point, probability that he will hit it. One day, Brandon decides to attempt to hit 10 such targets in a row.Assuming that Brandon is equally likely to hit each of the 10 targets, what is the probability that he will hit at least one of them?
General
4 months ago
A chemist has three acid solutions. The first solution contains 15% acid, the second contains 35% and the third contains 65%. He wants to use all three solutions to obtain a mixture of 228 liters containing 25% acid, using 2 times as much of the 65% solution as the 35% solution. How many liters of each solution should be used?
General
4 months ago
The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship? How many apples can she pick per hour?
General
4 months ago
An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the investor's total profit was $104, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 5% was $(blank). The amount invested in the mutual fund that earned 3% was $(blank). (show your work)
General
4 months ago
Which situation has a unit rate of $7?A Trevor spent $49 on 2 theater tickets.B Sally bought a pack of 5 t-shirts for $35.C Brandon bought 7 gallons of gas for $14.D Gina bought nail polish for $5 and a pack of gum for $2.
General
4 months ago
Your Student Government Association decided to do a fundraiser to raisemoney for a field trip. They decide to sell t-shirts and sweatshirts. Theprofit for each t-shirt is $10 and the profit for each sweatshirt is $15.They want to sell 50 items at most. Compared to t-shirts, they want to sellat least half as many sweatshirts, with a profit of at least $500.after graphing What are the boundaries of the feasible region (i.e. the points that definethe region of solutions)? (Hint: There should be four points)Are there any non-viable solutions within the feasible regionHow many t-shirts and sweatshirts should they sell to maximize their profitWhat is the maximum profit they can make?
General
4 months ago
(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)
General
4 months ago
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport. Soccer Sophomores (35%) 50% Juniors (33%) 45% Seniors (32%) 30% Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42% Find the probability that the student is a junior, given that soccer is the favorite sport listed.P(junior | soccer) = ???%
General
4 months ago
Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...a(1)=a(n)=
General
4 months ago
Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $400,000. Two years ago, the value of the collection was $440,000 and last year, the collection was valued at $484,000. Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence. What explicit rule can be used to determine the value of her art collection n years after that?
General
4 months ago
ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right triangles BDC and CDA. CD measures h units, BD measures y units, DA measures x units. The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles: Statement Justification Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b segment AB = c segment CD = h segment DB = y segment AD = x y + x = c c over a equals a over y and c over b equals b over x a2 = cy; b2 = cx a2 + b2 = cy + b2 a2 + b2 = cy + cx a2 + b2 = c(y + x) a2 + b2 = c(c) a2 + b2 = c2 Which is not a justification for the proof? Addition Property of Equality Pythagorean Theorem Pieces of Right Triangles Similarity Theorem Cross Product Property
General
4 months ago
1. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.Given: (BE) ̅ (ED) ̅ and (AE) ̅ (EC) ̅ 2. The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
General
4 months ago
Which table correctly shows all the sample spaces for tossing a coin and rolling an odd number on a six-sided number cube? Coin Number cube Outcome Heads 1 Heads, 1 Heads 3 Heads, 3 Heads 5 Heads, 5 Tails 1 Tails, 1 Tails 3 Tails, 3 Tails 5 Tails, 5 Coin Number cube Outcome Heads 1 Heads, 1 Heads 2 Heads, 2 Heads 3 Heads, 3 Tails 4 Tails, 4 Tails 5 Tails, 5 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 2 Heads 4 Heads, 4 Heads 6 Heads, 6 Tails 2 Tails, 2 Tails 4 Tails, 4 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 1 Heads 4 Heads, 3 Heads 6 Heads, 5 Tails 2 Tails, 2 Tails 4 Tails, 4 Tails 6 Tails, 6
General
4 months ago
PLEASE HELP8.08, part 211. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9). A) y squared over 45 minus x squared over 36 = 1 B) y squared over 81 minus x squared over 36 = 1 C) y squared over 36 minus x squared over 81 = 1 D) y squared over 36 minus x squared over 45 = 112. Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1 divided by 4. x. A) y squared over 16 minus x squared over 64 = 1 B) y squared over 16 minus x squared over 256 = 1 C) y squared over 256 minus x squared over 16 = 1 D) y squared over 64 minus x squared over 4 = 113. Eliminate the parameter.x = t - 3, y = t2 + 5 A) y = x2 + 6x + 14 B) y = x2 - 14 C) y = x2 - 6x - 14 D) y = x2 + 1414. Find the rectangular coordinates of the point with the polar coordinates. ordered pair 3 comma 2 pi divided by 3 A) ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2 B) ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2 C) ordered pair negative 3 divided by 2 comma 3 divided by 2 D) ordered pair 3 divided by 2 comma negative 3 divided by 215. Find all polar coordinates of point P where P = negative pi divided by 6 . A) (1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ) B) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ) C) (1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π) D) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)16. Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°. A) (4 square root 2 , 135°), (-4 square root 2 , 315°) B) (4 square root 2 , 45°), (-4 square root 2 , 225°) C) (4 square root 2 , 315°), (-4 square root 2 , 135°) D) (4 square root 2 , 225°), (-4 square root 2 , 45°)17. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.a circular graph with an inner loop on the left[-5, 5] by [-5, 5] (5 points) A) r = 3 + 2 cos θ B) r = 2 + 3 cos θ C) r = 2 + 2 cos θ D) r = 4 + cos θ18. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = -2 + 3 cos θ A) No symmetry B) y-axis only C) x-axis only D) Origin only19. A railroad tunnel is shaped like a semiellipse, as shown below.A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse. 20. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = 2 cos 3θ
General
4 months ago
Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen. What is the probability that the student earned an A on the last test? Enter your answer as a fraction, in simplest form, in the box.
General
4 months ago
A radius is a0 the diameter
General
4 months ago
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