TAKING TEST PLEASE HELP

The first term of an Ap are x, 2x +1, and 5x+1 Find x and the sum of the l0 terms first

bazaltina [42]

Answer:

145/2

Step-by-step explanation:

d=[2x+1-x] = [5x+1 -(2x+1)]

x+1=3x

x-3x=-1

-2x=-1

x=1/2

therefore first term is 1/2

second term is 2(1/2)+1= 2

common difference d is 2-1/2=3/2

sum of first n terms is n/2 [2a+(n-1)d] where n=10

sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]

=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2

7 0

3 years ago

A train leaves in Zurich at 22 40 and arrives in Vienna 07 32 the next day Work out the Time train takes

myrzilka [38]

Answer:

The train takes 8 hours and 52 minutes.

Step-by-step explanation:

Both Zurich and Vienna are in the same time zone, so there is no time to adjust the time zone.

Leaves: 22:40

Arrives: 7:32

From 23 to 7:32 there are (7 - 0) + (24 - 23) = 8 hours.

32 + (60 - 40) = 32 + 20 = 52 minutes.

The train takes 8 hours and 52 minutes.

7 0

3 years ago

Aaron started at a height of 43 feet in the air. He jumped feet first from the cliff into the water below. The total

Vlad1618 [11]

Answer:

Aaron travelled about 9 feet underwater

Step-by-step explanation:

We need to work with the information we are given in the question.

there are two stages of Aaron's travel. the first distance was in the air, and the second distance was in the water.

We are given both the total distance travelled and the distance travelled in the air.

To get the distance travelled in water, we subtract the distance travelled in the air from the total distance.

This will be 52 feet - 43 feet = 9 feet

Hence Aaron travelled about 9 feet underwater

7 0

3 years ago

Helpppppppppppp plzzzzzzzzzzzz!

r-ruslan [8.4K]

For the first one:
2x + 2 = 3x - 52
2x + 2 + 52 = 3x - 52 + 52
2x + 54 = 3x
2x - 2x + 54 = 3x -2x
54 = x
For the second:
124 + 2x + 4 = 180
124 + 4 + 2x = 180
128 + 2x = 180
128 - 128 + 2x = 180 - 128
2x = 52
2x/2 = 52/2
x = 26

6 0

4 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

inn [45]

Answer:

Product A has a greater percentage change in price.

Step-by-step explanation:

Part A:

The price f product A, f (x) after x years is given by:

$f(x) = 0.69\cdot(1.03)^{x}$

After x = 0 years, the price of product A is:

$f(0) = 0.69\cdot(1.03)^{0}=0.69$

After x = 1 years, the price of product A is:

$f(1) = 0.69\cdot(1.03)^{1}=0.69\cdot (1+0.03)=0.69\cdot (1+3\%)$

After 1 year, the price of product A is 3% times more than the original price.

This means that after one year, the new price is 103% of the original price, which means the price product A is increasing by 3%.

Again after x = 2 years, the price of product A is:

$f(2) = 0.69\cdot(1.03)^{2}=[0.69\cdot (1+3\%)]\times (1.03)$

This implies that after 2 years, the price of product A is 103% of the price after year 1.

This implies that the price of product A is 3% more than the previous year.

Thus, the price of product A is increasing each year by 3%.

Part B:

The data for Product B is as follows:

Time (t) Price [f (t)]

1 10,100

2 10,201

3 10,303.01

4 10,406.04

Product B is clearly increasing in price.

Consider the changes in price of Product B in the following intervals of years:

Year 1 - Year 2:

Price in year 1 = $10,100

Price in Year 2 = $10,201

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10201-10100}{10100}=0.01=1\%$

Year 2 - Year 3:

Price in Year 2 = $10,201

Price in year 3 = $10,303.01

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10303.01-10201}{10201}=0.01=1\%$

Year 3 - Year 4

Price in year 3 = $10,303.01

Price in Year 4 = $10,406.04

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10,406.04-10303.01}{10303.01}=0.09999\approx 0.01=1\%$

It is quite clear that the price of product B increases by 1% each year.

Thus, Product A has a greater percentage change in price.

3 0

3 years ago