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
algol13
3 years ago
7

Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva project

ed to make in July?
$126
$170
$176
$660
Mathematics
1 answer:
snow_lady [41]3 years ago
7 0

9514 1404 393

Answer:

  $126

Step-by-step explanation:

110% more than 100% is 210% of his June earnings:

  july = 2.10×$60 = $126

Silva is projected to make $126 in July.

_____

As always, you can think of % and /100 as being interchangeable.

  210% = 210/100 = 2.10

You might be interested in
A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution
scZoUnD [109]

\huge \mathbb{SOLUTION:}

\begin{array}{l} \textsf{Let }A(t)\textsf{ be the function which gives the amount} \\ \textsf{of the salt dissolved in the liquid in the tank at} \\ \textsf{any time }t. \textsf{ We want to develop a differential} \\ \textsf{equation that, when solved, will give us an} \\ \textsf{expression for }A(t). \\ \\ \textsf{The basic principle determining the differential} \\ \textsf{equation is} \\ \\ \end{array}

\boxed{ \footnotesize \begin{array}{l} \qquad\quad \quad\Large{\dfrac{dA}{dt} = R_{in} - R_{out}} \\ \\ \textsf{where:} \\ \\ \begin{aligned} \bullet\: R_{in} &= \textsf{rate of the salt entering} \\ &= \left({\footnotesize \begin{array}{c}\textsf{Concentration of} \\\textsf{salt inflow}\end{array}}\right) \times \small(\textsf{Input of brine}) \\ \\ \bullet\: R_{out} &= \textsf{rate of the salt leaving} \\ &= \left({\footnotesize \begin{array}{c}\textsf{Concentration of} \\\textsf{salt outflow}\end{array}}\right) \times \small(\textsf{Output of brine}) \end{aligned} \end{array}} \\ \\

\begin{array}{l} \textsf{On the problem, the amount of salt in the tank,} \\ A(t), \textsf{changes overtime is given by the differential} \\ \textsf{equation}  \\ \\ \footnotesize A'(t) = \left(\dfrac{4\ \textsf{gal}}{1\ \textsf{min}}\right)\!\!\left(\dfrac{1\ \textsf{lb}}{1\ \textsf{gal}}\right) - \left(\dfrac{2\ \textsf{gal}}{1\ \textsf{min}}\right)\!\!\left(\dfrac{A(t)\ \textsf{lb}}{10 + (4 - 2)t\ \textsf{gal}}\right) \\ \\ \textsf{There's no salt in the tank (fresh water) at the} \\ \textsf{start, so }A(0) = 0. \textsf{ The amount of solution in the} \\ \textsf{tank is given by }10 + (4 -2)t, \textsf{so the tank will} \\ \textsf{overflow once this expression is equal to the total} \\ \textsf{volume or capacity of the tank.} \\ \\ 10 + (4 - 2)t = 50 \\ \\ \textsf{Solving for }t,\textsf{ we get} \\ \\ \implies \boxed{t = 20\textsf{ mins}} \\ \\ A'(t) = 4 - \dfrac{2A(t)}{10 + 2t} \\ \\ A'(t) = 4 - \dfrac{1}{5 + t} A(t) \\ \\ A'(t) + \dfrac{1}{5 + t} A(t) = 4 \\ \\ \textsf{This is a linear ODE with integrating factor} \\ \mu (t) = e^{\int \frac{1}{5 + t}\ dt} = e^{\ln |5 + t|} = 5 + t \\ \\ \textsf{Multiplying this to the ODE, we get} \\ \\ (5 + t)A'(t) + A(t) = 4(5 + t) \\ \\ [(5 + t)A(t)]' = 20 + 4t \\ \\ (5 + t)A(t) = 20t + 2t^2 + C \\ \\ \textsf{Since }A(0) = 0, \textsf{ we get } C = 0. \\ \\ A(t) = \dfrac{2t^2 + 20t}{t + 5} \\ \\ A(t) = 2t + 10 - \dfrac{50}{t + 5} \\ \\ \textsf{So the function that gives the amount of salt at} \\ \textsf{any given time }t,\textsf{ is given by} \\ \\ \implies A(t) = 2t + 10 - \dfrac{50}{t + 5} \\ \\ \textsf{The amount of salt in the tank at the moment} \\ \textsf{of overflow or at }t = 20\textsf{ mins is equal to} \\ \\ A(20) = 2(20) + 10 - \dfrac{50}{20 + 5} \\ \\ \implies \boxed{A = 48\ \textsf{gallons}} \end{array}

\Large \mathbb{ANSWER:}

\qquad\red{\boxed{\begin{array}{l} \textsf{a. }20\textsf{ mins} \\ \\ \textsf{b. }48\textsf{ gallons}\end{array}}}

#CarryOnLearning

#BrainlyMathKnower

#5-MinutesAnswer

5 0
3 years ago
Please answer correctly
Nikitich [7]

triangle NPQ= 35º

i hope this helps!!

5 0
3 years ago
Find the sample space for tossing 2 coins. Then find P(exactly 1 head).
olga nikolaevna [1]
Sample space for tossing 2 coins = (H, H), (H, T), (T, T), (T, H)

P(Exactly one head) = (H, T) (T, H) = 2 events
P( E) = 2/4 = 1/2

In short, Your Answer would be 1/2

Hope this helps!
3 0
3 years ago
Read 2 more answers
A drug company testing a pain medication wants to know the impact of different dosages on patients' pain levels. They recruited
aliina [53]

Answer:

The scatter plot for the provided data is attached below.

Step-by-step explanation:

A scatter plot is a graphical representation of the relationship between two variables. It displays how one variable affects the other variable.

The data for the average pain level, on the scale of 1 to 10, and the amount of dosages of pain medication provided to the volunteers is as follows:

Average pain level    Dosage (mg)

          6.0                             0

          5.8                           50

          5.2                          100

          4.9                          150

          3.9                         200

          3.6                         250

          3.5                         300

The scatter plot for the provided data is attached below.

6 0
3 years ago
Use the given information to find the measure.
GREYUIT [131]

Answer:

From the image, we can see that ∠AOC = ∠AOB + ∠BOC

We are given the following values:

∠AOC = 104

∠AOB = 7x + 30

∠BOC = 9x + 42

Plugging these values in the equation above:

∠AOC = ∠AOB + ∠BOC

<em>104 = 7x + 30 + 9x + 42</em>

<em>104 = 16x + 72</em>

<em>16x = 32</em>

x = 2

Now that we have the value of x, we can easily find the value of ∠BOC

We are given that:

∠BOC = 9x + 42

∠BOC = 9(2) + 42           (since x = 2)

∠BOC = 18 + 42

∠BOC = 60°

Therefore, ∠BOC is 60 degrees

8 0
3 years ago
Other questions:
  • If m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17X-16)°, find each measure
    12·1 answer
  • The area of a square poster is 59 in squared 2 Find the length of one side of the poster to the nearest tenth of an inch.
    9·1 answer
  • Ciara Larry and jeeta pick apples at an orchard Ciara pick twice as many pounds is Larry and three times as many pounds as jeeta
    12·1 answer
  • jacks car used 18 gallons of gasoline to go for 68 miles at that rate how many gallons would be used to go 754 miles
    12·1 answer
  • What is the sum of the infinite geometric series?
    12·1 answer
  • There is good evidence that moderate alcohol use improves health. Some people think that red wine is better for your health than
    7·1 answer
  • what is the smallest whole number larger than the perimeter of any triangle with a side of length 5 and a side of length 15?
    11·1 answer
  • Find the value of x. Thank YOU.
    7·2 answers
  • Part of the population of 5,000 elk at a wildlife preserve is infected with a parasite. A random sample of 50
    10·1 answer
  • Simplify <br> 6sqrt20 + 8sqrt5 - 5sqrt45
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!