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KonstantinChe [14]
3 years ago
7

Station A and Station B are 120 miles apart. A train traveling from station A to station B travels exactly 1/3 of the distance w

hen it is held up and stops for 16 minutes. When the train continues its journey, the engineer increases its average speed by 15 mph so that the train will arrive at station B on schedule. Find the average speed of the train before it stopped for 16 minutes.
Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

60

Step-by-step explanation:

60

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Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was
kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

P = $50,000

I = $9,375

t = 3 years

r = ?

The formula for simple interest is given by

I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%

Therefore, the annual interest rate is 6.25%

6 0
3 years ago
A manufacturer of skis produces two types: downhill and cross country. The times required for manufacturing and finishing each s
pogonyaev

Answer:

So to maximize profit 24 downhill and 20 cross country shouldbe produced

Step-by-step explanation:

Let X be the number of downhill skis and Y the number of cross country skis.

Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours

Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.

Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90

total finishing time taken = 0.5x+1.5 y≤42

Profit function

Z = 50x+50y

Objective is to maximize Z

Solving the two equations we get intersecting point is

(x,y) = (24,20)

In the feasible region corner points are (0.28) (36,0)

Profit for these points are

i) 2200 for (24,20)

ii) 1400 for (0,28)

iii) 1800 for (36,0)

So to maximize profit 24 downhill and 20 cross country shouldbe produced.

6 0
3 years ago
Eyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a g
9966 [12]

Answer:

the  money spend on tomatoes is $4.20

Step-by-step explanation:

The computation of the money spend on tomatoes is shown below

Let the money spend on tomatoes be x

So

2 \frac{3}{4} \times \$1.32 + 1\frac{1}{2} \times \$1.20 + x = \$9.63\\\\

$3.63 + $1.80  + x = $9.63

x = $9.63 - $3.63 + $1.80

= $4.20

Hence, the  money spend on tomatoes is $4.20

4 0
3 years ago
If the sphere shown above has a radius of 10 units then what is the approximate volume of the sphere
Sophie [7]

Answer: 4,188.79 u^3

Step-by-step explanation: Volume of a sphere is (4/3)pi•r^3

10^3 = 1000

(4/3) • pi • 1000 = 4,188.79 (rounded to 2 decimals)

3 0
3 years ago
Read 2 more answers
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordin
fenix001 [56]

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

3 0
3 years ago
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