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3 years ago

Can some one help please help me

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

$5\:\:and\:\:7$ are the required consecutive odd integers.

Step-by-step explanation:

Let's say, the two consecutive odd integers be, x and x+2.

$x\left(x+2\right)=2\left(x+2\right)+21\\\\x^2+2x=2x+4+21\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\\\x^2+2x=2x+25\\\\x^2+2x-2x=2x+25-2x\\\\x^2=25\\\\x=5$

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On the 1st January 2014 Carol invested some money in a bank account.

Ghella [55]

Answer:

$\large \boxed{\text{\pounds 23 360.00}}$

Step-by-step explanation:

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$A = P \left(1 + \dfrac{r}{n}\right)^{nt}$

1. Amount in account on 1 Jan 2015

(a) Data:

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n = 1

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(b) Calculations:

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The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.

She must have had £23 944 in her account on 1 Jan 2015.

(2) Amount originally invested

(a) Data

A = £23 944.00

$\begin{array}{rcl}23 944.00 & = & 1.025 P\\P & = & \dfrac{23 944.00 }{1.025} \\\\& = & \mathbf{23 360.00} \\\end{array}\\\text{Carol originally invested $\large \boxed{\textbf{\pounds23 360.00}}$ in her account.}$

3. Summary

1 Jan 2014 P = £23 360.00

1 Jan 2015 A = 23 944.00

Withdrawal = <u> -1 000.00 </u>

P = 22 944.00

1 Jan 2016 A = £23 517.60

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