Lane has invested $6000 in a retirement account expected to grow according to the formula P=6000(1.072)t In this equation, P represents the dollar value of the investment after t years. Solve this equation for t. 2.How long would it take for Lane to double his investment?

Lane has invested $6000 in a retirement account expected to grow according to the formula P=6000(1.072)t In this equation, P represents the dollar value of the investment after t years. Solve this equation for t. 2.How long would it take for Lane to double his investment?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 347E: In the following exercises, solve. 347. Simone invests $8,000 in an account that compounds interest...

See similar textbooks

Related questions

Q: 5 X +- x²(x-2) x 2

Q: 4. Prove that det (A) = det (A¹) for a 2 × 2 matrix.

Q: 2. Use set builder notation to describe the following set i) A={2,4,6,8,10} A=(3,6,9,12,15,18} ii)…

Q: Two similar triangular prisms have surface areas of 11.5 in² and 46 If the volume of the first prism…

Q: 12. Find the fifth number in this set so that the mean is {3, 9, 2, 1, x}

A: Given problem:- Find the fifth number in this set so that the mean is 4. {3, 9, 2, 1, x}

Q: 0 = (0-0) + (9-0) + (0-9) P

A: We can solve this as follows:

Q: -275 2. Let A 013 -135 Find the adjoint of A.

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

Q: QUESTION 14 The exterior angle of a regular octagon (8-sided) has a measure of ⒸA. 45°. B. 30°. C.…

Q: . Consider the following sets of vectors in R³. Explain how you know that vectors in each set are…

Q: Goran borrowed $5000 from a lender that charged simple interest at an annual rate of 9%. When Goran…

A: Solution ) P = $5000, R = 9% , SI = $2250 formula Simple interest = ( P × R × T) /100…

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

Q: 20 5 2 IMINIMIN - ROTA + 더 IM 13 E 언 U 다. -

A: We have to find domain and range

Q: Write a how-many-groups word problem for 0.35 / 1.45 = ?

A: how-many-groups word problem for 0.35 / 1.45

Q: (x, y) = ( = ) (smaller value ) (Larger value)

Q: Let f(x) = 12x + 11 f-¹(x) = > Next Question

Q: 16. Consider the points A(-1,2,3) and B(4,-1,2). a. Determine the parametric and symmetric equations…

Q: ax2 2-3² x² +: 2 +3² -1 = 5

Q: For the following exercises, graph the given functions by hand. 28. f(x)= |3x +91 +2 29. f(x)=…

Q: a) b) -5 domain range = m = KEH THINGIMININ 20 0 5- 14 WWWXHIMIN www.*** 2 **---* 3 5 **** (0,0)…

Q: riangle BAC was dilated from triangle BDE at a scale factor of 2. What proportion proves that tan∠D…

A: Given: By the given information, AB = 4 and BC = 6. For tan∠D = tan∠A, we must have…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: 8. Let V={(x,y)x,y € R}. Define addition on V as follows: (x»x)+(x,y)=(x +2x, 1,y+Y,+2) Find the…

A: To find zero vector of V

Q: Solve D-E 4/xy dx + (x²+1) dy = 0

A: Given :4xy2dx+x2+1dy=0

Q: Question 9 Let L be the line with parametric equations x=-9+3t =-4-3t ==-7 Find the vector equation…

A: Explained below

Q: The graph of a function g is shown below. Use the graph of the function to find its average rate of…

Q: x-3y+2 2-1 Determine the vector equation for the line with symmetric equations-

Q: 1. Determine if the graph is periodic. If it is, what is the amplitude and period? 41 64-20 2) Graph…

Q: Division: 4.) (8x³ +36x² + 11x 20) = (x+4) x = -4 5. Find all solutions polynomial equation: 3x²³ +…

Q: Find the antiderivative Q (t) of f(t) = t√/t - t√t A. Q (t) = ²/t²¹ √t + / + C B. Q (t) = ²√t-/+ C…

Q: 12 16. A) Determine the primary ratios for tan A = - in the second quadrant. - 5 B) Determine the…

Q: 4) Find the inverse of the function f(x)=√√x+5. Also write out the check. Then graph both and label…

Q: Suppose H (x) = 2x²-5. Find two functions f and g such that (fog)(x) = H (x). Neither function can…

Q: f(g(x)) = f = g(f(x)) = g f(x) = = x3 * 3 g(x) = √√3x

Q: Select the procedure that can be used to show the converse of the Pythagorean theorem using side…

A: Converse of Pythagoras theorem states that, If square of a side equal to the sum of the square of…

Q: The expression 2 tan(x) sin(x) + 5 sec(x) simplifies to A sec(x) - B cos(x), determine A and B.

Q: B. Let U= {x|x is a lowercase letter in the English alphabet} be the universal set. In roster method…

Q: 2- Use the graph to determine (a) open intervals on which the function is increasing, if any. open…

A: This question can be solved using the concept of increasing, decreasing and constant functions.

Q: Evaluate the function for the given value. G(x)=-3x²+x-2 84. G(-2x) Choices for 81-86: A) 7x-9 D)…

Q: a) The ratio 20 minutes to 1 hour can be written in the form 1: n. Find the value of n. n = b) The…

Q: [2 Let A= 2 Find the characteristic polynomial. Find the eigenvalues. Find an eigenvector for each…

A: See this solution in below

Q: A group of data items and their mean are given. 24, 40, 56, 96, 144, 216; Mean = 96 a. Find the…

Q: (a) 0 2 10 0 11 5 8 7 0 1 0 0 0 5 7 8 (b) 0 2 0 1 6 7 -2 0 0 0 5 7 -4 2 3 8 (c) -2 0 0 0 6 7 0 0 1 3…

A: Given matrices:-

Q: Graph the parabola. y=x² + 4x+1 Plot five points on the parabola: the vertex, two points to the left…

A: This question is based on parabola graphing by finding it's vertex

Q: Use the value of the linear correlation coefficient to calculate the coefficient of determination.…

A: Given r=-0.957 Find coefficient of determination

Q: Use the slope m of the line and the point on the line to find three additional points through which…

A: We have to find three additional points through which line passes.

Q: f(x)= 2 x² + 8x + 10

Q: QUESTION 7 A scale model of a truck is 5 inches long. If the model is built to a scale of 1 to 54,…

Q: what is the outcome of multiplying the two matrixes (AB) A = [4] B =[-2--1] -3

Q: Q1) b- for the following data, (19, 32, 26, 71, 88, 45, 59), the Harmonic Mean (H) is 37.4406 O…

Question

100%

Lane has invested $6000 in a retirement account expected to grow according to the formula P=6000(1.072)t

In this equation, P represents the dollar value of the investment after t years.

Solve this equation for t.

2.How long would it take for Lane to double his investment?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)
In the following exercises, solve using any method. Round your answers to the nearest tenth, if needed.. 217. A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h = O?)
In the following exercises, solve using any method. Round your answers to the nearest tenth, if needed.. 215. A firework rocket is shot upward at a rate of 640 ft/sec. Use the projectile formula h=16t2+v0t to determine when the height of the firework rocket will be 1200 feet.
In the following exercises, solve using any method. Round your answers to the nearest tenth, if needed.. 216. An arrow is shot vertically upward at a rate of 220 feet per second. Use the projectile formula h=16t2+v0t, to determine when height of the arrow will be 400 feet.
In the following exercises, solve. 347. Simone invests $8,000 in an account that compounds interest quarterly and earns 5%. How long will it take for his money to double?
In the following exercises, solve. 388. A researcher at the Center for Disease Control and Prevention is studying the growth of a bacteria. She starts her experiment with 150 of the bacteria that grows at a rate of 15% per hour. She will check on the bacteria every 24 hours. How many bacteria will he find in 24 hours?
Solve. 342. A water balloon is launched upward at the rate of 86 ft/sec. Using the formula h=16t2+86t , find how long it will take the balloon to reach the maximum height and then find the maximum height. Round to the nearest tenth.
In the following exercises, solve using any method. Round your answers to the nearest tenth, if needed.. 218. A stone is dropped from a 196-foot platform. Use the formulah=16t2+v0t+196 to determine how many seconds it will take for the stone to hit the ground. (Since the stone isdropped, v0=0. )
Solve: ex2ex=e6.
Victoria jogs 12 miles to the park along a flat trail and then returns by jogging on an 20 mile hilly trail. She jogs 1 mile per hour slower on the hilly trail than on the flat trail, and her return trip takes her two hours longer. Find her rate of jogging on the flat trail.
In the following exercises, solve. 478. The length that a spring stretches varies directly with a weight placed at the end of the spring. When Sarah placed a 10 pound watermelon on a hanging scale, the spring stretched 5 inches. a. Write the equation that relates the length of the spring to the weight. b. What weight of watermelon would stretch the spring 6 inches?