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2 years ago

Give an example of a system of linear equations that can be solved by first adding the equations to eliminate one variable.

Mathematics

1 answer:

telo118 [61]2 years ago

5 0

f ( 7 ) = 2.4 ft

Step-by-step explanation:

Solution:-

- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :

f ( x ) = 18 (0.75)^x

Where, x e [ 0 , ∞ ) : The number of bounces.

f (x) : The maximum height after xth bounce.

- The maximum height reached by the ball after its 7th bounce. So, x = 7:

f ( 7 ) = 18 (0.75)^7

f ( 7 ) = 2.4027 ft

- To the nearest tenth:

f ( 7 ) = 2.4 ft

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C. Gage bought a new car for $29,000 to use while he is away at college. The car depreciates (decreases in value) by 11% annuall

OverLord2011 [107]

Answer:

a. The value of the car will be $18,195.25

b. (i) 2.5 hours

(ii) 25 problems each

Step-by-step explanation:

a. To calculate the value of the car after four years, what we shall use is the exponential formula below;

F = PV( 1 - r)^t

where F is the value at year 4

PV is the present price = $29,000

r is the rate = 11% = 11/100 = 0.11

t is the time = 4 years

Substituting these values, we have;

F = 29,000(1-0.11)^4 = 29000(0.89)^4 = $18,195.25

The value of the car when he graduates will be $18,195

b. Let the number of hours it will take for both to have written the same number if problems

be x

For Ms B, the number of problems she would have written at that time will be 10 + 6(x)

For Ms D , the number of problems will be 10 * x = 10x

To get the time it will take for both to write same number of problems, we will need to equate the number of problems they would have written by hour x

Hence;

10 + 6x = 10x

10x-6x = 10

4x = 10

x = 10/4 = 2.5 hours

The number of problems would be;

For Ms B = 6(2.5) + 10 = 15 + 10 = 25

For Ms D = 10(2.5) = 25

They both would have written 25 problems at that time

3 0

2 years ago

Each of 7 students reported the number of movies they saw in the past year. Here is what they reported. 16, 13, 19, 16, 8, 10, 1

nydimaria [60]

Answer:

13.1

Step-by-step explanation:

Finding mean in data set is finding the average. The way to find the average is by adding all the data in the set (the # of movies watched), then divide them by how many numbers are in the data set (7).

16+13+19+16+8+10+10=92

After you add the data in the set, you have to divide it by the pieces of data there is.

So 92/7=

13.1428571

<u />

If you round 13.142...to the nearest tenth, you get <u>13.1.</u>

7 0

2 years ago

Answer this by 4:20 EST and I will mark brainliest

Alexxandr [17]

Answer:

Step-by-step explanation: