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Phantasy [73]
3 years ago
15

The temperature in degrees Fahrenheit was recorded every two hours starting at midnight on the first day of summer. The data is

show in the table.
Which type of graph would best display the change in the temperatures throughout the day?
bar graph
line graph
line plot
stem and leaf plot

Mathematics
1 answer:
serg [7]3 years ago
6 0
I’m pretty sure it’s line graph, if not that, bar graph
Hope this helps :D
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A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance t
slavikrds [6]

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

5000 = a + b \\ 153800 = 26a + 40b

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)

5 0
3 years ago
Bob wants $50,000 at the end of 7 years in order to buy a car. if his bank pays 4.2% interest, compounded annually, how much mus
Furkat [3]
<span>The correct answer is $1452.50 per year.

Explanation:<span>
We use the formula
</span></span>P(1+\frac{r}{n})^{nt}+PMT(\frac{[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}})\times (1+\frac{r}{n}),<span><span>

where P is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, PMT is the monthly deposit added, and t is the number of years.

Since the amount of principal is not stated, we will assume that Bob is depositing the same amount every following year as he does the first year, so we will let PMT=P.

Our interest rate, r, is 4.2%; 4.2%=4.2/100=0.042.

The number of times the interest is compounded annually, n, is 1.
The amount of time, t, is 7.

We know he wants $50,000. This gives us the equation
50000=P(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>+P{[(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>]/(0.042/1)}*(1+0.042/1).

Simplifying this a bit, we have
50000=P(1.042)</span></span>⁷<span><span>+P((1.042</span></span>⁷<span><span>)/0.042)*(1.042).

We can factor out P, giving us
50000=P[1.042</span></span>⁷<span><span>+((1.042</span></span>⁷<span><span>)/0.042)*1.042].

This then gives us
50000=P(34.4234).

Divide both sides:
50000/34.4234 = (P(34.4234))/34.4234,

which gives us P=1452.50.</span></span>
4 0
3 years ago
Read 2 more answers
Can you represent the data with an equation? If so write the equation.
dlinn [17]

• Use slope to graph linear equations in two variables. • Find the slope of a line given two points on the line. • Write linear equations in two variables. • Use slope to identify parallel and perpendicular lines. • Use slope and linear equations in two variables to model and solve real-life problems. 2

6 0
3 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
What is the answer to the following problem:<br> 6÷2(1+2)=?
maksim [4K]
Hi, Soldier23!
6/2(1+2)
6/2(3)
6/2=3
3*3=9
I hope this helps;)

7 0
3 years ago
Read 2 more answers
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