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Mandarinka [93]
2 years ago
9

Question 16 of 50

Mathematics
1 answer:
saul85 [17]2 years ago
8 0
Equation:

y=6,000(1.05)^5

Answer:
7657
You might be interested in
Can you guys help please im so confused
marissa [1.9K]

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

A = x \cdot y

- The length of the fencing is 80 meters, so

2y + x = 80

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

y = 40 - \frac12 x

Then substitute for y in the first:

A = x (40 - \frac12 x) = 40x - \frac12x^2

b) To maximize A, find the zero of the first derivative:

A'(x) = 40 - x = 0 \implies x=40

So y = (80-40)/2 = 20 meters.

8 0
3 years ago
HELP! <br> What is the determinant of [-4 3, -7 6]?<br><br> a. -24<br> b.-3<br> c. 3<br> d.45
slamgirl [31]

Answer:

-3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jill and Jack are exercising at a beach. They both start from the car park at one end of the beach. Jill runs at a constant spee
mina [271]

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

<h3>How far along the beach will Jack be when JIll next passes him?</h3>

Let's think that the whole beach is like a line track of length L.

We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.

So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).

At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.

Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.

A third of that distance is:

(L/2)/3 = L/6

So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:

L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

If you want to learn more about distances:

brainly.com/question/4931057

#SPJ1

4 0
2 years ago
10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the hou
Charra [1.4K]
Speed=distance / time  ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance  traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours=  80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt    ⇒d=80+40t      (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t      ⇒d=48t       (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.
3 0
3 years ago
What part of 40 is 16? *not precent
podryga [215]

By definition of ratios, if you consider 16 elements out of a total of 40 elements, you are considering the 16/40 of the total.

You may simplify this ratio, since both numerator and denominator are multiple of 8:

\dfrac{16}{40} = \dfrac{2\cdot 8}{5\cdot 8} = \dfrac{5}{8}

6 0
4 years ago
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