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S_A_V [24]
2 years ago
12

The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:

Mathematics
1 answer:
Paul [167]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The 2 equations are

x + 2y = 8 → (1)

2x + 4y = 20 → (2)

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Write an explicit formula for an,the Nth term of the sequence 4,12,36
Rudik [331]

Answer:

3^{n}+3^{n-1}

Step-by-step explanation:

Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be x^n + yn

Because the sequence multiplies by 3 each time, The base number in that equation would be 3^n +yn.

So 3^n of the equation would be:
3, 9, 27.

Compare the 2 equations:
4, 12, 36

3, 9 ,27

The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 3^{n-1}.

Combine these 2 equations together and you get:

3^{n}+3^{n-1}.

6 0
2 years ago
Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
842.72+412.38+1/8+1/2=
tatuchka [14]

the answer will be 1255.725

3 0
3 years ago
Read 2 more answers
The side lengths of cube 1 are 2/3 inch. and cube 2 is 2 inches. How many cube 1's to fill cube 2. if you don't understand I hav
kati45 [8]

Answer:

A or 3

Step-by-step explanation:

2/3+2/3=4/3 or 1 1/3

4/3+2/3= 6/3 or 2

7 0
3 years ago
You need to solve for x.
Serhud [2]

I'm pretty sure it's 28 but sorry if I'm wrong it might be 44

4 0
2 years ago
Read 2 more answers
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