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
AlekseyPX
3 years ago
8

Jerome is planning for this years beach clean kickoff event. this year, jerome wants to buy reusable water bottles with the beac

h clean logo to the volunteers. the customized-water-bottle company charges an order-processing fee with each order. plus the cost of each water bottle ordered. the equation below can be used to find the cost of b water bottles.
1.2b + 20
What is the maximum number of water bottles that marine can order and stay within the $300 budget? Show your work
Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

233 bottles

Step-by-step explanation:

In this problem, the cost of b water bottles can be found by using the equation:

c=1.2 b +20

where

b is the number of bottles

1.2 is the cost of each bottle

20 is the fee for the order

Here we want to know the maximum number of water bottles that Marine can order staying within a budget of $300. So we can write that the cost must be less or equal than 300$:

1.2b+20 \leq 300

To solve the equation, we subtract 20 from both sides first:

1.2b+20-20\leq 300-20\\1.2b \leq 280

Now we divide both sides by 1.2:

\frac{1.2b}{1.2}\leq \frac{280}{1.2}\\b\leq 233.3

So, Marine can buy at most 233 bottles.

You might be interested in
Determine the domain of the following graph:
Pani-rosa [81]

Answer:

- 11 \leqslant x \leqslant  + 12

note that -11 itself is not included. the circle is empty, not filled

7 0
3 years ago
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
ZanzabumX [31]

Answer:

$0.25

Step-by-step explanation:

7 0
3 years ago
A new car dealer offered to sell her demonstrator model for 90% of the retail price.if the sale price was $9,750, what was the r
omeli [17]
The retail price would be $18,525
4 0
3 years ago
What is the variance of a portfolio invested 21 percent each in a and b and 58 percent in c?
victus00 [196]
Given the following information:

\begin{tabular}
{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}
\multicolumn{1}{|p{1.5cm}|}{State of economy}\multicolumn{1}{|p{2.6cm}|}{Probability of State of economy}\multicolumn{3}{|p{4.8cm}|}{Rate of Return if State Occurs}\\[1ex] 
\multicolumn{1}{|p{1.5cm}|}{}\multicolumn{1}{|p{2.6cm}|}{}\multicolumn{1}{|c|}{Stock A}&StockB&Stock C\\[2ex]
\multicolumn{1}{|p{1.5cm}|}{Boom}\multicolumn{1}{|p{2.6cm}|}{0.66}\multicolumn{1}{|p{1.27cm}|}{0.09}&0.03&0.34\\
\end{tabular}
\begin{tabular}
{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}
\multicolumn{1}{|p{1.5cm}|}{Bust}\multicolumn{1}{|p{2.6cm}|}{0.34}\multicolumn{1}{|p{1.27cm}|}{0.23}&0.29&-0.14\\
\end{tabular}

Part A:

The expected return on an equally weighted portfolio of these three stocks is given by:

0.66[0.33 (0.09) + 0.33 (0.03) + 0.33(0.34)] \\ +0.34[0.33 (0.23) + 0.33(0.29) +0.33(-0.14)] \\  \\ =0.66(0.0297 + 0.0099 + 0.1122)+0.34(0.0759+0.0957-0.0462) \\  \\ =0.66(0.1518)+0.34(0.1254)=0.1002+0.0426=0.1428=\bold{14.28\%}



Part B:

Value of a portfolio invested 21 percent each in A and B and 58 percent in C is given by

For boom: 0.21(0.09) + 0.21(0.03) + 0.58(0.34) = 0.0189 + 0.0063 + 0.1972 = 0.2224 or 22.24%.

For bust: = 0.21(0.23) + 0.21(0.29) + 0.58(-0.14) = 0.0483 + 0.0609 - 0.0812 = 0.028 or 2.8%

Expected return = 0.66(0.2224) + 0.34(0.028) = 0.1468 + 0.00952 = 0.1563 or 15.63%

The variance is given by

0.66(0.2224-0.1563)^2+0.34(0.028-0.1563)^2 \\  \\ =0.66(0.0661)^2+0.34(-0.1283)^2=0.66(0.00437)+0.34(0.01646) \\  \\ =0.00288+0.0056=\bold{0.00848}
4 0
4 years ago
Word problems pre-algebra. Liam and Emma are going to New York. Liam had a Headstart and is 135 miles ahead of Emma. Liam is tra
insens350 [35]

Answer:400miles

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • All I want is the work, I know the answer. (Don't ask)
    12·2 answers
  • 12. A point is blank<br> from two objects if it is the same distance from the objects. (1 point)
    12·1 answer
  • Tell weather the two rates form a proportion. help
    14·1 answer
  • What is 69% of 444.
    5·1 answer
  • Can someone help me out on this ASAP??
    10·1 answer
  • How do you solve this
    15·1 answer
  • 3. WEATHER On a cold January day,
    7·1 answer
  • 12. The following list shows the number of new memberships that a gym
    10·1 answer
  • Pls I need help ASAP
    7·1 answer
  • Seriously need help with this question or I will fail my senior year
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!