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prohojiy [21]
2 years ago
7

The Tropical Bay Resort complex is building a new irrigation system to ensure proper watering of their luscious landscape. Assum

ing $10 per linear foot, what is the cost for the minimum spanning tree
Mathematics
1 answer:
mafiozo [28]2 years ago
3 0

The minimum cost for this spanning tree has been calculated as $1100.

<h3>How to solve for the minimum spanning tree</h3>

This is solves as

AC + CD + DF + FE + EB

This would be

15 + 25+ 23 + 22 + 25

= 110

The minimum cost would be gotten by multiplying this valus with the amount per foot

= 10 * 110

= $1100

Hence the minimum cost of the spanning tree is $1100

Read more on minimum cost here:

brainly.com/question/1476828

#SPJ1

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
If the volume is 400 in. cubed and height is 5 in. The width is 8 in. What is the length
makvit [3.9K]

Answer:

its 10 in

Step-by-step explanation:

∵∴∵∴∵∴∵∴∵        

⊕ΘΞΠΤ⊕        

∵∴∵∴∵∴∵∴∵

6 0
3 years ago
1) During skating practice, Sasha landed 7 out of 12 jumps. What is the experimental
balandron [24]

Answer:

14 maybe

Step-by-step explanation:

5 0
3 years ago
In zoe's class, 4/5 of the students have pets. of the students who have pets, 1/8 have rodents. what fraction of the students in
olasank [31]
Let us assume the number of student's in Zoe's class = x
Then
Number of students that have pets = 4x/5
Number of students that have rodents as pets = (1/8) * (4x/5)
                                                                          = x/10
Number of students in Zoe's class
that have pets that are not rodents = (4x/5) - (x/10)
                                                         = (8x - x)/10
                                                         = 7x/10
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
8 0
3 years ago
Read 2 more answers
Find the equation of a line perpendicular to −4x+4y=4 that contains the point (−4,5).
kati45 [8]

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides

4y = 4x + 4 ( divide all terms by 4 )

y = x + 1 ← in slope- intercept form

with slope m = 1

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{1} = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (- 4, 5) into the partial equation

5 = 4 + c ⇒ c = 5 - 4 = 1

y = - x + 1 ← equation of perpendicular line

4 0
3 years ago
Read 2 more answers
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