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
Hunter-Best [27]
3 years ago
10

Mack wants to purchase a new stereo system for his car. The system costs $1150. Mack has $420 saved already, and plans on mowing

lawns to earn the rest. If Mack gets paid $25 for every lawn he mows, how many lawns must he mow to earn enough money for the stereo? Include a inequality equation and solve.
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
29.2 lawns to be able to have enough money.
You might be interested in
Maria studied the traffic trends in India. She found that the number of cars on the roads increases by 10% each year. If there w
laiz [17]
You would do

(1.1)(80,000,000)=88,000,000

That is the total cars for year two. To find the increase you would do

(1.1)(88,000,000)=96,800,000

Then you would subtract year 2 from year three

96,800,000-88,000,00=8,800,000

That gives you ur answer.
7 0
3 years ago
Read 2 more answers
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence
sukhopar [10]

Let

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots

Differentiating twice gives

\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots

\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0

\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0

Then the coefficients in the power series solution are governed by the recurrence relation,

\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

k=0 \implies n=0 \implies a_0 = a_0

k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}

k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}

k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}

It should be easy enough to see that

a_{n=2k} = \dfrac{a_0}{(2k)!}

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

k = 0 \implies n=1 \implies a_1 = a_1

k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}

k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}

k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}

so that

a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}

So, the overall series solution is

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)

\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}

4 0
2 years ago
PLEASE HELPPPPPPpppppppppppppppppppppp
Usimov [2.4K]
Its 4 by the way cause it is
6 0
3 years ago
Megan earns $20.00 by walking dogs. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. How
Leya [2.2K]
The answer is B: 11.

To solve it, you need to solve the equation: 20.00=12.85+0.65x
4 0
3 years ago
Work out the value of angle x
Alexus [3.1K]

well, it's isosceles so use base angles theorem

the top angle is also x

90 + 2x = 180

subtract 90 from both sides

2x = 90

divide both sides by 2

x = 45 degrees

8 0
3 years ago
Read 2 more answers
Other questions:
  • The tax rate as a percent, r, charged on an item can be determined using the formula StartFraction c Over p EndFraction minus 1
    6·2 answers
  • Carson bought 3.9 pounds of chocolate cashrews for $15.84. About how much was the cost per pound?
    15·1 answer
  • What is the radius and diameter of the following circle?
    9·2 answers
  • What is the slope of the line that passes through (-6,13) and (8,-29)
    5·1 answer
  • Aldo needs 46 cookies for a party.
    8·1 answer
  • Find the volume of the triangular prism​
    10·1 answer
  • Helps please this is due soon
    12·1 answer
  • Please help me I need to get a good grade on this
    12·1 answer
  • Somebody please help me with my geometry
    15·1 answer
  • There were 150 students wearing red shirts today. If there are a total of 300 students at school, about how many out of a class
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!