Max can type 160 words in 5 minutes.

nordsb [41]

Don’t download it it’s a virus

3 0

3 years ago

A tank holds 50 gal of water, which drains from a leak at the bottom, causing the tank to empty in 20 min. The tank drains faste

kirza4 [7]

Answer:

(a) V(0) = 50 gal, V(20) = 0 gal

(b)At t= 0 the tank is full.

At t=0 the tank is empty

(c)

Time volume

0 50 gal

5 37.5 gal

10 25 gal

15 12.5 gal

20 0 gal

(d)

Net change of volume = 50 gal

Step-by-step explanation:

Given that the capacity of the tank is 50 gal.

Torricelli's Law gives the volume of water remaining in the tank after t minutes as

$V(t)=50(1-\frac{t}{20})^2$

(a)

To find V(0), we put t = 0 in the above equation

$V(0)=50(1-\frac{0}{20})^2$

$=50(1-0)^2$

= 50 gal

To find V(20), we put t =2 0 in the above equation

$V(20)=50(1-\frac{20}{20})^2$

$=50(1-1)^2$

= 0 gal

(b)

At t= 0 the tank is full.

At t=0 the tank is empty.

(c)

Time V(t)

0 $50(1-\frac{0}{20})^2=50 \ gal$

5 $50(1-\frac{5}{20})^2=37.5 \ gal$

10 $50(1-\frac{10}{20})^2=25 \ gal$

15 $50(1-\frac{15}{20})^2=12.5 \ gal$

20 $50(1-\frac{20}{20})^2=0$

(d)

Net change of volume = V(0) -V(20)

=(50-0) gal

= 50 gal

3 0

3 years ago

Debby new puppy weighed 10 1/8 pounds. After a month it had gained 6 1/3 pounds. What is the weight of the puppy after a month?

tatuchka [14]

The puppy after a month would weigh 16 11/24

I hope this helps

Have a happy holidays:)

7 0

3 years ago

Danny wants to buy a truck in 4 years. He is going to put away $2,500.00 into his savings account that will pay him 6.75% intere

aniked [119]

Answer:

b $3,272.43

Step-by-step explanation:

A = p(1+r/n)^nt

Where

A= future value

P= principal = $2500

r= interest rate = 6.75% = 0.0675

n = number of periods = 12

t = time = 4 years

A = p(1+r/n)^nt

= 2500(1+0.0675/12)^12*4

= 2500(1+0.005625)^48

= 2500(1.005625)^48

= 2500(1.3089737859257)

= 3272.4344648144

Approximately

A= $3272.43

He will have $3272.43 to give as down payment in 4 years

4 0

3 years ago

Which formula can be used to describe the sequence below? –8, –5, –2, 1, 4, ...

makvit [3.9K]

Answer:

an = -8 +3(n-1)

an = -11 +3n

f(n) = -11 +3n

Step-by-step explanation:

–8, –5, –2, 1, 4, ...

This is an arithmetic sequence.

We are increasing by 3 each time

-8 +3 = -5

-5+3 = -2

-2 +3 = 1

The common difference is 3

The formula for an arithmetic sequence is

an = a1 +d (n-1)

an = -8 +3(n-1)

an = -8 +3n -3

an = -11 +3n

The nth term is -11 +3n

f(n) = -11 +3n

3 0

4 years ago

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