The total cost in thousands of dollars of manufacturing x cell phones is given by the cost function C(x) = 0.018x + 1000. Find the total cost (in thousands of dollars) of manufacturing 900 cell phones. Do not use commas or spaces in your answer. For example, if your answer is 1,536.45 thousands of dollars then input only 1536.45. Answer:

Q: (d) (i) Factorise the quadratic expression x² + 3x - 28. (ii) Use your answer to part (d) (i) to…

A:

Q: Consider the following function. f(x) = (x-4)², x 24 Find the inverse function f-¹. f-¹(x) = State…

A: Explained below

Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A:

Q: Classify the two given samples as independent or dependent. Sample 1: The weights in pounds of 12…

A: Since the weight of 12 newborn females does not depend on the weights of 12 newborn males. i.e. If…

Q: Find the values of a) Ln(1-i) b) Ln (3+√3)

A:

Q: Determine the length of the third side of the right triangle. Write the answer as a simplified…

A:

Q: Ahmed borrows $10,000 from Al- Rasheed Bank on June 1 and must repay a total of $11,400 exactly 2…

A: Solution of given question is written in below steps.

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A:

Q: Graph the function. f(x) = x2 - 6x -10 15 10 -5 5 -5 10 10 -10 √5 -10 -10 -15 O 00 Determine the…

A: We have to graph the given function.

Q: ux v of u = 2i + 3j, v = i + j is O 5i 5k 5j O 5i+5j+5k let u = 3i -2i find the magnitude of *

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: z z tzb ₂9 + 90 2 + ₂b = ₂ ( 9 + b) (a z ८

A:

Q: Using distributive property of multiplication over addition Explanation and proving

A: This question can be solved using the concept of distributive property of multiplication over…

Q: 2. Shania is fishing from a small boat. A fish swimming at the same depth as the hook at the end of…

A:

Q: Write the logarithm in expanded form. log₂ (72)

A:

Q: The monthly rent for the first house is $1,190,$1,190, and the Bainters can expect it to increase…

A: We will find the rent value over time.

Q: 2. Using the formulas, show that sin(x - ), sin(x + π), and cos(x + 2 are equivalent trigonometric…

A: The given expressions, sinx-π, sinx+π and cosx+π2

Q: 17. Use Pascal's triangle to expand each power of a binomial. a) (2x + 1)³ b) (x-2y)

A:

Q: If v is a vector in R", and if k is any scalar, then: (a) ||v|| 20 (h) x = 0 if and only if y = 0

A: See the answer below

Q: Match the given geometric sequence to the corresponding geometric means. * T. 0.6, 1.2, 2.4 U.-3,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: use the method of substitution or elimination to determine point of intersection.

A: Eliminating x

Q: Suppose you are a recreation director at a summer camp. The water in the camp swimming pool was…

A: This question can be solved using the concept of pipes and cisterns.

Q: 4. Ben sold tickets to a play. He sold Gold seats for $8 each and Silver seats for $3 each. He sold…

A: 4.Ben sold tickets to a play.He sold Gold seats for $8 each and silver seats for $3 eachHe sold a…

Q: 1- Find the maclaurin series for: f(z) = sinz (find f(5)(z))

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: O LINES AND FUNCTIONS = The ent Domain and range from the graph of a continuous function apir of the…

A: We will find the range and domain of the given function as shown below

Q: A dress regularly sells for $121. The sale price is $92. Find the percent decrease of the sale price…

A:

Q: The speeds of a random sample of 100 cars are recorded as they pass a highway checkpoint. The…

A: There is gap between the classes. So we need to change the classesso that the classes will be…

Q: Use your calculator to find the x-coordinate of the point of intersection of the two lines. Input…

A: Solve the following

Q: Factor by grouping (sometimes called the ac-method). 14x²-x-4 First, choose a form with appropriate…

A: Factoring the equation by grouping

Q: this

A: We will find the trigonometric angles value.

Q: mi Two buses leave towns 564 miles apart at the same time and travel toward each other. One bus…

A: Let the speed of slower bus be V

Q: 31. Prove parts (a), (c), and (d) of Theorem 3.1.1.

A:

Q: Does the series converge or diverge? If it converges, what is the sum? Show n-1 Σ1 -4(-3)"

A:

Q: Let Dy be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A:

Q: Let p (x) = 12x4−67x3 + ax2−122x + 40  Determine all zeros of the polynomial p when it comes to p…

A:

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x+4. If there is…

A:

Q: You own a painting whose dimensions are 10 inches by 16 inches. If you create a slide of this work…

A: The question can be solved using the concept of scale factor.

Q: Determine the point on the curve y = 2x² closest to the point (0, 3) with x > 0. What is the slope…

A: According to question,Given Curve,y = 2x2Given point,0, 3

Q: 7. B-A 8. Nx{r Ulr is a consonant in the word statistics}

A:

Q: Find all the zeros of the function. When there is an extended list of possible rational zeros, use a…

A: Solved below.

Q: Solve −5(w−5)=−5

A: Given query is to find the value of w.

Q: circle is partitioned into 5 equal parts, so as to create 5 identical angles, each with vertex at…

A: Solve the following

Q: Show how to make the expression 37 40 17 15 X 80 37 +X is easy to evaluate without a calculator. 30…

A:

Q: Find the 7th term in the sequence with the following definition: a₁ = 64 an = an-1

A: Given.

Q: Using matrices find the least square approximation line for the points (-1,0), (0,2),(1,4), and

A:

Q: b) A salary of £5 240 is to be increased by 1.2%. Calculate (i) the increase, (ii) the new salary.

A: Given that the salary of £5240 is increased by 1.2% To calculate  (i) the increase  (ii) the new…

Q: Problem two : (a) Consider the set A = {1,2,3,4}. Find all permutations p of A such that: p(12) (34)…

A: Concept: Symmetric groups: The group that is symmetric Sn is the set of bijections from any set of n…

Q: QUESTION 6 A scale model of a truck is 1.5 inches high. If the actual truck is 8 feet high, what is…

A:

Q: Find a vector equation of the plane containing the points ?(2, 0, −1), ?(3, 4, 0), and ?(4, −1, 1).

A:

Q: Af'(x) Use the given graph of f'(x) to find the intervals on which f(x) is increasing, the intervals…

A: To solve the following

Q: LAU Select the graph of the linear equation: x = 3 O O O P T 2 ry 2 2

A: