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3 years ago

Johns family has $12 to spend after buying tickets to the Aquarium. Parking costs $3 an hour.

Mathematics

1 answer:

TEA [102]3 years ago

7 0

Answer:

4 hours

Step-by-step explanation:

4 x 3 =12 or 12÷3 = 4

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You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You

wel

Answer:

41.8 years

Step-by-step explanation:

From

$A = P(1+r/n)^{nt}$

A= 39000

r = 10.5%

P = $ 485

n=12

t = the unknown

t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]

t= 10.57 - 6.18/0.105

t= 41.8 years

5 0

4 years ago

Ron walks 0.5 mile on a track in 10 minutes. Stevie walks 0.25 mile on the track in 6 minutes find the unit rate for each walker

Firlakuza [10]

Answer:

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

Step-by-step explanation:

Given:

Ron takes 10 minutes to walk on a track to cover a distance of 0.5 miles

Stevie takes 6 minutes to walk on a track to cover a distance of 0.25 miles

To find their unit rates in mile per hour and choose the faster one.

Solution:

Unit rate in miles per hour signifies their speeds. Thus, we will find out their speeds.

Ron:

Distance= 0.5 miles

Time = 10 minutes = $10\ min\times \frac{1\ hr}{60\ min}=\frac{1}{6}$ hours

Speed = $\frac{Distance}{Time}=\frac{0.5}{\frac{1}{6}}=0.5\times6=3\ miles/hour$

Stevie

Distance = 0.25 miles

Time = 6 minutes = $6\ min\times \frac{1\ hr}{60\ min}=\frac{1}{10}$ hours

Speed = $\frac{Distance}{Time}=\frac{0.25}{\frac{1}{10}}=0.25\times10=2.5\ miles/hour$

Thus, we have

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

4 0

3 years ago

1/2expand the equation 1/2(3+4t-10)=

Ivanshal [37]

$\frac{1}{2} (3 + 4t - 10)$

$\frac{3}{2} + \frac{4t}{2} - \frac{10}{2}$

$(\frac{3}{2} - \frac{10}{2}) + 2t$

$\frac{ - 7}{2} + 2t$

$- 3.5 + 2t$

8 0

3 years ago

Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.

zavuch27 [327]

$f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\
f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\
f(1)>0\\
f(2)$
It does.

3 0

4 years ago

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

garik1379 [7]

Answer:

$area = \frac{8}{3}pie ft^2$

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = $\frac{60}{360}*pie*4^2$

$area = \frac{1}{6}*pie*16$

$area = \frac{1*16}{6}*pie$

$area = \frac{16}{6}*pie$

$area = \frac{8}{3}pie ft^2$

Area of the sector = 8/3π ft²

5 0

3 years ago