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MATH SOLVE
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Angelo invested $4,000into two accounts. One account paid 4%interest and the other paid 9%interest. He earned 6%interest on the total investment. How much money did he put in each account?
General
2 months ago
For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Find the total number of visits when the cost for a member and nonmember will be the same.4801756030
General
2 months ago
The total cost f(x), in dollars, for renting a beach house for x days is shown: f(x) = 5 + 350x What does f(5) represent? The number of dollars it costs for 5 people to rent the beach house The number of dollars it costs to rent the beach house for 5 days The number of beach houses that can be rented for 5 days The number of days the beach house can be rented for a cost of $350
General
2 months ago
a function defined on an interval [a,b] or (a,b) is uniformly continuous if for each ϵ>0 there exists a δ>0 such that |x−t|<δ implies that |f(x)−f(t)|<ϵ. Then it gives a little note saying that δ cannot depend on x, it can only depend on ϵ.With ordinary continuity, the δ can depend on both x and ϵ. I'm just a little lost on why |x−t|<δ implies |f(x)−f(t)|<ϵ, and how δ can't depend on x but only ϵ.
General
2 months ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x), y = 8 cos(x), 0 ≤ x ≤ π/4; about y = −1
General
2 months ago
Find the sequence of differences for the given sequence. Next, find a closed form solution for the following sequence. (Be sure to refer to the example on the modules notes page for “closed form solutions.”)1, 5, 11, 19, 29, 41, …
General
2 months ago
Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that: a. Comic D will perform first. b. Comic C will perform first and Comic E will perform fourth. c. The comedians will perform in the following order: D, C, E, A, B, F. d. Comic B or Comic F will perform third.
General
2 months ago
A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of 2 yards per second. He sprints the last part of the field at a rate of 4 yards per second. If the whole run takes 40 seconds, what is the fraction of the length of the field that the runner covers during the second sprint?
General
2 months ago
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1700 after 1 day, what is the size of the colony after 4 days? How long is it until there are 70,000 mosquitoes?
General
2 months ago
Abdul bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 9.5%per year. The total finance charges for one year were $303. How much did each computer cost before finance charges?
General
2 months ago
Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
General
2 months ago
Write each quadratic function below in terms of linear factors.a)f(x)=x²-25b)f(x)=x²+25c)f(x)=4x²+25d)f(x)=x²-2x+1e)f(x)=x²-2x+4
General
2 months ago
For each cubic function below, one of the zeros is given. Express each cubic function in terms of linear factors.a)f(x)=2x³-9x²-53x-24;f(8)=0b)f(x)=x³+x²+6x+6;f(-1)=0
General
2 months ago
Mrs. Drew wants a to built a square sandbox with an area of 121 square feet . What is the total length of wood Mrs. Drew needs to make the sides of the sandbox?
General
2 months ago
3/11 divided by 2/9 equals what
General
2 months ago
Using only the addition and multiplication operations with the numbers 1, 2, 3, and 4 each exactly once,it is possible to build a numeric expression (with parentheses to show the order used to build theexpression) that evaluates to 21. For example, 1 + ((2 + 3) · 4) is one such expression.a. Build two more numeric expressions that evaluate to 21 using the criteria above. Both must bedifferent from the example given.b. In both of your expressions, replace 1 with a, 2 with b, 3 with c, and 4 with d to get two algebraicexpressions. For example, a + ((b + c) · d) shows the replacements for the example given.
General
2 months ago
We’ve shown that matrix multiplication is generally not commutative, meaning that as a general rule for twomatrices A and B, A ⋅ B ≠ B ⋅ A. Explain why F ⋅ G = G ⋅ F in each of the following examples.a. F = ????1 32 0???? , G = ????2 64 0????b. F = ????1 3 23 1 24 3 2???? , G = ????0 0 00 0 00 0 0????c. F = ????1 3 23 1 24 3 2???? , G = ????1 0 00 1 00 0 1????d. F = ????1 3 23 1 24 3 2???? , G = ????3 0 00 3 00 0 3
General
2 months ago
A = ???? 4 −2−1 3????1. Find the inverse of A. Show your work, and confirm your answer.2. Explain why the matrix ????6 34 2???? has no inverse
General
2 months ago
Generate six Pythagorean triples using any method discussed during class. Explain each method you use.
General
2 months ago
Factor the following expression, and verify that the factored expression is equivalent to the original: 4x^2-9a^6
General
2 months ago
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