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Papessa [141]
3 years ago
13

a train of length 100 m is moving at speed of 50km/ hr. a horse is running alongside the train at a speed of 56km/h. How long wi

ll it take the horse to overtake the train? explain how you did it please
Mathematics
1 answer:
scoray [572]3 years ago
6 0
Distance = 100 m = 100/1000 = 0.1 km speed of train = 50 km/hr speed of horse = 56 km/hr resultant speed = (56 – 50) 6 km/hr time = distance/speed time = 0.1/6 = 1/60 hr = 1 min 
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2x+5y=85 can be used to model how much money will Tim spent on x sodas and y sandwich’s if he brought 15 sodas how many sandwich
Inessa05 [86]
Tim would have bought 11 sandwhiches and 15 sodas.

8 0
3 years ago
Read 2 more answers
NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compou
mixer [17]

Answers:

a) See the table below

b) The equation is y = 32000(1.01125)^x

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\

Repeat for x = 1

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

-----------------------

b)

The template for any exponential equation is y = a(b)^x

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from y = a(b)^x to y = 32000(1.01125)^x

-----------------------

c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\

The investment would be worth $40,024.02 after five years, aka twenty quarters.

-----------------------

d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

8 0
2 years ago
Simplify 6+5m/3=m-2
nikitadnepr [17]

Answer:

m = -12

Step-by-step explanation:

Subtract 6 from both sides

6 + 5m -6 = m - 2 - 6

Simplify

5m/3 = m-8

Multiply both sides by 3

5m * 3 = m * 3 - 8 * 3

Simplify

5m = 3m - 24

Subtract 3m from both sides

5m - 3m = 3m - 24 - 3m

Simplify

2m =  - 24

Divide both sides by 2

2m/2 = -24/2

Simplify

m = - 12

         

4 0
3 years ago
Read 2 more answers
PLEASE GIMMI ANSWER ASAP
Romashka [77]

100% + 5% = 105 %

105/100 x 40$ = 42$

4 0
3 years ago
Read 2 more answers
How would you solve this problem?
Dmitry_Shevchenko [17]
Square both sides:

2s + 8 = s²

0 = s² - 2s - 8

Now factor:

0 = (s-4)(s+2)

s - 4 = 0 OR s + 2 = 0

s = 4 OR s = -2

Since square root cannot be negative, s = -2 is not possible,
so we are left with s = 4
7 0
3 years ago
Read 2 more answers
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