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NemiM [27]
3 years ago
8

Share £12 in the ratio 1:2

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Answer:

£4 and £8.

Step-by-step explanation:

There are 3 parts to the sharing ( 2 + 1 = 3).

So one part is 1/3 of 12.

One part is 1/3 * 12 =  £4

and 2 parts = 2/ * 1/3 * 12 = £8.

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Find the 27th term in the arithmetic sequence of 59,56,53,50
statuscvo [17]

solution:

A_{n}=59-3(n-1)\\where, n=1,2,3,.....\\A1=59\\A2=56\\A3=53\\A_{n}=a+(n-1)dA27=59+(27-1)3\\=59-78\\=-19\\A27 term is -19

5 0
3 years ago
A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k
Paraphin [41]
Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore  time for forward journey  =  x / 60
Return journey                                   =  x / 50

The total trip should not exceed 8 hours.
Therefore:              x / 60 + x / 50  <= 8.      LCM = 300

Taking LCM and multiplying on both sides:
                                5x  +  6x  <=  8(300)
                                       11x    <=  2400
                                           x    <=    2400/11
                                           x   <=  218.18
The picnic spot must be less than or equal to 218.18 km.
5 0
2 years ago
How much more interest will Maria receive if she invests $1,000 for one year at x percent annual interest, compounded semiannual
notka56 [123]

Answer:

  $0.025x² . . . where x is a number of percentage points

Step-by-step explanation:

The multiplier for semi-annual compounding will be ...

  (1 + x/2)² = 1 + x + x²/4

The multiplier for annual compounding will be ...

  1 + x

The multiplier for semiannual compounding is greater by ...

  (1 + x + x²/4) - (1 + x) = x²/4

Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.

If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...

  $250·(x/100)² = $0.025x² . . . where x is a number of percentage points

_____

<u>Example</u>:

For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.

3 0
3 years ago
The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th
natali 33 [55]

Answer: see Explanation

Step-by-step explanation:

THE GAINEY'S:

Recursive Formula :

A1 = $10

An = An-1 + $10

A2 = $10 + $10 = $20

Where n = day of the month

Explicit formula :

y = a + b(c - 1)

WHERE:

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

THE ARNOLD'S :

Recursive formula:

First day of the month (A1) = $10

An = 2(An-1)

A2 = 2(A1) = 2(10) = $20

A3 = 2(A2) = 2(20) =$40

Explicit formula:

y = a(b)^c

Where :

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

5 0
2 years ago
Help me Asap!! please
UkoKoshka [18]

Answer:

I believe the perimeter is 90 and the area is 300sqft

Step-by-step explanation:

3 0
2 years ago
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