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ANTONII [103]
3 years ago
8

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

much will Colin have after 10 years to the nearest pound?​
Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0

Answer:

£3,692

Step-by-step explanation:

First four years

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

P = £2350

r = 4.2% = 0.042

n = 1

t = 4

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

Next 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

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The large bottle of nasal spray is 9.46 centimeters tall. The small bottle is 5.29 centimeters tall. How much shorter is the sma
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Answer:

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Step-by-step explanation:

The large bottle of nasal spray is 9.46 centimeters tall. Assuming that the large bottle of nasal spray has the shape of cylinder, then the height of the cylinder is 9.46 centimeters.

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5 0
3 years ago
28/29 and 30 plz short explanation thanks
Feliz [49]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:


28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:


a.b.c = -3


The possible values of the factors are:

  • Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

  • Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3


29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:


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(-9)(2) = -18, So -18 is less than -9 and 2


Another example:


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(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.


30. The sign of the product of two integers with the same sign is positive, that is:


(+)(+) = (+) and

(-)(-) = (+)


So, the sign of the product of three integers with the same sign are two options:

  • <u>Option 1.</u> The three integers are positive in which case:

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  • <u>Option 2.</u> The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.


This option two gives us that result because:


(-)(-) = (+) and (+)(-) = (-)

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\bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\qquad &#10;\begin{cases}&#10;I=\textit{interest earned}\to &\$1\\&#10;P=\textit{original amount deposited}\to& \$2\\&#10;r=rate\to 10\%\to \frac{10}{100}\to &0.10\\&#10;t=years&#10;\end{cases}&#10;\\\\\\&#10;1=2\cdot 0.10\cdot t\implies 1=0.2t\implies \quad \cfrac{1}{0.2}=t\implies 5=t
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