Last year, Jenny deposited $3000 into an account that paid 5% interest per year and $7000 into an account that paid 4% interest per year. No withdra were made from the accounts. Answer the questions below. Do not do any rounding.

Q: Suppose that the functions fand g are defined as follows. f(x)=(-2+x)(-6+x) g(x)=1-x (a) Find…

A:

Q: Solve the given initial-value problem. -2 2 X'= × - (- ~~ ) x + (²) X 3 4 2 X(t) 2t 6e-6e²t - 6 X =…

A:

Q: Consider the following election.  This is not the same as the table above. Number of Voters 19 11…

A:

Q: 2. Translate each of the following phrases into a mathematical expression. Use as few variables as…

A: Translate each phrases into mathematical form

Q: Find f(x) and g(x) such that h(x) = (f. g)(x). h(x) = - = 2² -6 1 O f(x) = ₁ g(x) = x² - 6 f(x) =…

A: Given query is to find the composite function.

Q: 1. State the solution set for each system below using either the substitution or addition (by…

A: We solve the systems using elimination method.

Q: Find the reduced echelon form of this augmented matrix: please show work 1 2 -3 300 0 1 0 250 0 -1…

A:

Q: Choose the correct answers given the following table representing a quadratic function. Complete…

A: Since from the given table we can see that at         x = 0 the value of y is -3. Hence from the…

Q: Solve the logarithmic equation. (Enter your answers as a comma-separated list.) log x2 = (log x)2

A: We can answer the question as below.

Q: L -5± √17 O-4+√9 -5+√9 -4± √17 O +4 0 + 3/2 O 12. Choose the correct answer. H Solve by completing…

A: Use formula of quadratic and solve

Q: . How many solutions x will the system Anxn x=b have, when |A] = 3 ?

A: Answer :-  We have to find number of solutions x will the system An×n x = b have , when |A| = 3

Q: years, 20% of a radioactive element decays. Find its half-life. (Round your answer to one decimal…

A: Given query is to find the half life if the substance

Q: is the area (in sq. m.) of a rectangular volleyball court that measures 18m by

A: Given:  18m by 9m

Q: Yasmine have 168 stamps and Dominic have 213 stamps. After they gave away an equal number of stamps.…

A:

Q: CO y=√x - 3 y= y = √3 8 2 -10-8 6 -4 -20 -2 -4 -6 -8 -10 2 8 10

A: Given the query is to find the correct option of the function of graph.

Q: Solve the equation by completing the square. 2x^2+3x=9

A:

Q: Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)…

A: Given query is to write the matrix for the system of equations.

Q: Find the real solutions of the following equation. 8t+9 = -9 Select the correct choice below and, if…

A:

Q: Factor the difference of squares. 4 9pm - 9pn* OA. 9p (m²-n²)2 OB. 9(m²p+n²)(mp + n)(mp − n) OC.…

A: Given:       9pm4-9pn4

Q: An artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artjfact…

A: Use the carbon dating method to know the age of the artifact.

Q: 3 O -1;2 1; 2 1 Find the roots of the quadratic equation y=x²--2 by using its graph. 6 -4 3 ~ y-axis…

A: We want to find the root of the equation using the graph.

Q: x−16 (x4) — 6 -쓸 X

A: Let's find.

Q: Rationalize the denominator and simplify. 10 √3

A:

Q: Find the slope and y-intercept of the line. Graph the line. 3x-2y=6 O A. The slope is (Type an…

A: Given line, 3x - 2y = 6 To be found : Slope and y-intercept of given line

Q: Which angle is vertical to ZFBG? D A C H B G E F

A: We can find the vertical angle as below.

Q: 3. Use the definition of limits of sequence to give a formal proof of lim (√n+1-√n) = 0.

A:

Q: Suppose that the functions u and w are defined as follows. u(x)=x² +6 w(x)=√x+9 Find the following.…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

A:

Q: Consider the following equation. 4−2y+8x/2=1 Step 2 of 2 Find the equation of the line which…

A:

Q: 19. Choose the correct answer. Which expression provides the roots of the equation 2a² + a = 5? no…

A:

Q: Find the arc length of the parametric curve. x=et, y=et, z = √2t; 0≤t≤4 L

A:

Q: Consider the following. 100 -4 -5 A-[-23 ¹29], P - [11] = = -5 23 -1 (a) Verify that A is…

A:

Q: 2. If P = {x|0 ≤ x ≤ 10} and Q = {x|5 < x < 20}, a) Find Pn Q b) Is 5 € Pn Q? c) Is 10 € Pn Q?

A:

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

A:

Q: Need

A:

Q: Determine the slope, if it exists, of the graph of the given linear equation. 1 f(x) = -3x+5 1 A. m…

A:

Q: Mario needs to purchase a pool cover. He decides if he finds the area of the pool him determine what…

A:

Q: Does the vectors v1 = (-3, 7) and v2 = (5, 5) form a basis for R2?

A:

Q: Multiply. (4√10+2)(√6-3) Simplify your answer as much as possible.

A: We can multiply and simplify the answer as below.

Q: Two functions f and g are defined in the figure below. 0 9 2 5 0 6 8 7 7 Domain of f Range of f…

A: To find the domain and range of the composition function: g∘f

Q: Use the graph of the parabola to fill in the table. ^₂ 10 (a) Does the parabola open upward or…

A: Given query is to find the characteristics of the parabola.

Q: Adam puts $800.00 into an account to use for school expenses. The account earns 15% interest ,…

A:

Q: Use the given graph of the function ƒ to find the following values for f-¹. f

A: We are asked to find the inverse of the function.

Q: Convert 8000 lbs/ft² to Mpa using this conversion table

A:

Q: The height of a triangle is 3 feet more than the base. The area of the triangle is 44 square feet.…

A:

Q: 1) Write the first four terms of the sequence an = n³.

A:

Q: Suppose that a 3 x 3 matrix A factors into a product: 1 0 0111 U12 U13] A = 121 1 0 0 U22 U23 Ll31…

A: Given that  A = 100l2110l31l321 u11u12u130u22u2300u33 We have to determine the value of  det A.

Q: 1+1

A: apply sum

Q: Given the following table with selected values of f (x) and g(x), evaluate f (g(3)). X -4-3 0 3 5 8…

A:

Q: year

A: