1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alekssandra [29.7K]
3 years ago
14

C. Gage bought a new car for $29,000 to use while he is away at college. The car depreciates (decreases in value) by 11% annuall

y. If he plans to sell the car
once he graduates in four years, what will the value of the car be?

d. Ms. B and Ms. Dare writing problems for an algebra book. Ms. B started with ten problems already written and she can write six problems an hour. Ms. Dhad no

problems written, but she writes ten problems an hour. When will Ms. D have the same number of problems written as Ms. B? How many problems will they each

have written at that time?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

a. The value of the car will be $18,195.25

b. (i) 2.5 hours

(ii) 25 problems each

Step-by-step explanation:

a. To calculate the value of the car after four years, what we shall use is the exponential formula below;

F = PV( 1 - r)^t

where F is the value at year 4

PV is the present price = $29,000

r is the rate = 11% = 11/100 = 0.11

t is the time = 4 years

Substituting these values, we have;

F = 29,000(1-0.11)^4 = 29000(0.89)^4 = $18,195.25

The value of the car when he graduates will be $18,195

b. Let the number of hours it will take for both to have written the same number if problems

be x

For Ms B, the number of problems she would have written at that time will be 10 + 6(x)

For Ms D , the number of problems will be 10 * x = 10x

To get the time it will take for both to write same number of problems, we will need to equate the number of problems they would have written by hour x

Hence;

10 + 6x = 10x

10x-6x = 10

4x = 10

x = 10/4 = 2.5 hours

The number of problems would be;

For Ms B = 6(2.5) + 10 = 15 + 10 = 25

For Ms D = 10(2.5) = 25

They both would have written 25 problems at that time

You might be interested in
I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb
kompoz [17]
Thought about it and theres a couple of others but i'm going to say 424-334
7 0
3 years ago
I WANT TO KNOW<br> WHAT IS THE MULTIPLE OF 6
Leni [432]
6, 12, 18, 24, 30
Keep plus this number by 6
5 0
3 years ago
Read 2 more answers
The radius of a truck wheel is 3 ft. what is the approximate circumference if the truck wheel.
Phoenix [80]
Circumference = 2 \pi r
When you plug that in you should have (2* \pi ) *3
Solve that and you have your answer(: I would recommend rounding to the nearest hundreth
8 0
3 years ago
Read 2 more answers
Please help!!! Find the value of the variable and the measures of the angles.
e-lub [12.9K]

Answer:

x= 38°

<P = 57°

<R = 38

<Q = 85°

5 0
1 year ago
For the following exercises, find a formula for an exponential function that passes through the two points given. (0,6) and (3,7
kirill [66]

\boxed{\boxed{f(x)=6(5)^x}}

<h2>Explanation:</h2>

An exponential function is given by the following form:

y=ab^x \\ \\ Where: \\ \\ a \ is \ a \ constant \ and \ b \ is \ the \ base

Here we know two points:

(0,6) \ and \ (3,750)

\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}

Finally, our exponential function is:

\boxed{\boxed{f(x)=6(5)^x}}

<h2>Learn more:</h2>

Behavior of functions: brainly.com/question/12891789

#LearnWithBrainly

5 0
3 years ago
Other questions:
  • G(x) = -x2 + x. Find g(-10).
    9·2 answers
  • How are binary fission and mitosis different?
    14·2 answers
  • Simplify: (4x2 − 8xy + 2y2) − (9x2 − 4xy − 7y2) (5 points)
    5·1 answer
  • BRAINLIEST WILL BE AWARDED TO THE FIRST CORRECT ANSWER!
    10·1 answer
  • Need help ASAP please
    7·1 answer
  • CAN SOMEONE PLEASE HELP ME I NEED TO KNOW THIS LIKE NOW ITS SUPER IMPORTANT
    14·1 answer
  • Which of the following statements is not true?
    9·2 answers
  • · Expand and simplify (x - 2)(x + 7)
    10·1 answer
  • PLSS HELP, show u work and I’ll give brainliest
    5·2 answers
  • While preparing for a morning conference, principal Corsetti is laying out 8 dozen bagels on square plates. Each plate can hold
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!