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serg [7]
3 years ago
7

Colin invests £2350 into a savings account. The bank gives 4.2% compound

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

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if the slop of the straight line passing through the two points A (4, k) , B (3, 2) is 5, find the value of K
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Step-by-step explanation:

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Hope this helps!

6 0
3 years ago
Read 2 more answers
What to the third power is equal to 729
atroni [7]

If you had absolutely no idea, then you'd have roughly two choices
of how to find it:

#1).  Try numbers until you find the right one.

        Pick a number.
        Cube it.
        If you get less than 729, go back and try a bigger number.
        If you get more than 729, go back and try a smaller number.
        Eventually you find the right one.  

Try 1.        1³ = 1 .            Too small.
Try 2.        2³ = 8 .            Still too small.
Try 5.        5³ = 125 .        Still too small.
Try 20.     20³ = 8,000.      Ooops.  Too big.
Try 10.     10³ = 1,000       Too big.
Try 8.         8³ = 512.         Oooo.  Too small, but maybe getting close.
Try 8.5.    8.5³ = 614.125   Still too small, but very close.
Try 9.         9³ = 729 .       That's it !            yay !


#2).  x³ = 729

Take the log of each side:      log(x³) = log(729)

                                         3 log(x)  =  log(729)

Divide each side by  3 :         log (x)  =  (1/3) log(729)

Look up log(729) :                 log(x)  =  (1/3) (2.86272...)

                                                      =    0.95424...
Raise 10 to the power
of each side:                      10^log(x)  =  10⁰·⁹⁵⁴²⁴···  

                                               x        =  8.99994...

                                         (That's the way it is with logs.
                                          They never come out even.)
5 0
3 years ago
Read 2 more answers
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