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
Rudiy27
3 years ago
9

Felix has $1,000 in his savings account. He wants to purchase a motorcycle for $5,000. The seller has agreed to take a payment o

f $250 a month without interest. Felix saves an extra $300 each month, plus paying for the motorcycle. What system of equations could Felix use to determine when he will have enough money to completely pay for his motorcycle?
Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

The system of equations is

(1) Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

(2) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(3) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(4) The period it will take for Felix to have enough money to completely pay for his motorcycle is 8 months

Step-by-step explanation:

Here we have

Balance in savings = $1,000

Amount available to Felix each month = $500

Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

= $5,000 - $1,000 = $4,000

Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

The above is given by

Number of months = Amount balance to buy the motorcycle ÷ Amount available to Felix each month

∴ Number of months = $4,000 ÷ $500 = 8 Months

That is Felix will have enough money to pay for his motorcycle in 8 months.

You might be interested in
Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
Find two integers whose sum is 96 and whose product is 1728.
Murrr4er [49]

Answer: 24 & 72

Step-by-step explanation: 24 + 72 = 96

24 x 72 = 1728

5 0
3 years ago
Read 2 more answers
X -(2x- 3x-4/7) = 4x -27/3 -3​
RUDIKE [14]
RHS
=4x-27/0
=not defined=0

LHS
=x-2x+3x+4/7=2x+4/7=(14x+4)/7= 14x+4.

14x=-4

x=-4/14

X=-2/7
7 0
3 years ago
Read 2 more answers
on monday delias family drives 45 1/3 miles each hour.if they travel for 9 hours how many miles do they travel altogether?
Oliga [24]
The answer is 408 miles
5 0
3 years ago
Read 2 more answers
The triangles are similar. The area of the larger triangle is 270 square centimeters. What is the area of the smaller triangle?
Vitek1552 [10]

The smaller triangle is 1/6 the size of the large one ( 5/30 = 1/

Area is squared 1/6 ^2 = 1/36

Multiply the area of the large triangle by 1/36:

270 x 1/36 = 270 /36 = 7.5

The area is 7.5 cm^2

The answer is A.

3 0
3 years ago
Other questions:
  • PLZZ ANSWER FAST!!!!!!!!!!!!!!!!!!1
    15·1 answer
  • ray ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show
    7·1 answer
  • PLEASE HELP ASAP!!!!
    11·1 answer
  • This diagram is a straightedge and compass construction. A is the center of one circle,
    14·1 answer
  • 12) 3(61 - 1) > 18 - 36​
    9·1 answer
  • Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D
    11·1 answer
  • What is the first step in solving quadraric equations by finding square roots??
    11·1 answer
  • Joyce wants to mix granola
    9·2 answers
  • Helppp plss i don’t understand this at all
    11·1 answer
  • I need help with:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!