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IrinaVladis [17]
3 years ago
8

What is the 8th term in the sequence? 14, 18, 116, 132, ...

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0
a_1=14;\ a_2=18\\\\d=a_2-a_1\to d=18-14=4\\\\a_n=a_1+(n-1)d\\\\a_n=14+(n-1)\cdot4=14+4n-4=10+4n\\\\a_8=10+4\cdot4=10+16=36\\\\Answer:\boxed{a_8=36}
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PLEASE ANSWER!
Rama09 [41]

Answer:

a. 48

b. You need 6 packs of cups and 8 packs of plates

c. 72 is another one she would need 9 packs of cups and 12 packs of plates to get this one

6 0
3 years ago
Read 2 more answers
Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
Whitch three capital letters have rotational symmetry but do not have line symmetry
deff fn [24]
First you want to figure out what exactly it is you are looking for. We are looking for "capital letters that have rotational symmetry but do not have line symmetry"

So:
1. Must have rotational symmetry.
This means that if we rotate the capital letter 180 deg, either clockwise or counterclockwise, it will still look the same

2. Must not have line symmetry.
If an object has line symmetry, it means that if you draw a line down the middle (in any way), it will be symmetrical on both sides. We need capital letters that do not fit that condition. 

Now we look at all capital letters. 
We find that H, I, N,O, S, X, and Z are all rotationally symmetrical. Think about it. If you rotate them, they still look the same. 

But, we have to make sure they do not have line symmetry. If we draw a line right down the middle of H, I, O and X (**note, the have multiple lines of symmetry), they are symmetrical on both sides of the line. 

Now we are left with N, S, and Z
4 0
3 years ago
Read 2 more answers
271403 rounded to the nearest ten thousand
ella [17]

Answer:

271,403 is rounded to 270,000 because the 1403 before it is less than 5000, 4 and below drop it down, 5 or more bump it up.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If a = 2, find b, c, and d.<br> a + b = c<br> a-c=d<br> a+b=5
Doss [256]

Answer:

a=2

b=3

c=5

d=-3

Step-by-step explanation:

a + b = c

a-c=d

a+b=5

a+b =5

a = 2

2+b =5

Subtract 2 from each side

2+b-2 =5-2

b=3

a + b = c

2+3 = c

5=c

a-c=d

2-5 =d

-3 =d

3 0
3 years ago
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