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3 years ago

( 2 x - 3 ) ( 7 x + 4) polynomials

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Answer:

14x-12

Step-by-step explanation:

Simplify (2x-3)(7x+4).

Expand the brackets. Remember brackets mean to multiply.

We multiply the 2x and the 7x to get 14x and we multiply the -3 by 4 to get -12 as shown below;

(2x-3)(7x+4)

14x-12

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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:

The formula for the accrued amount from compound interest is

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

1. Amount in account on 1 Jan 2015

(a) Data:

a = £23 517.60

r = 2.5 %

n = 1

t = 1 yr

(b) Calculations:

r = 0.025

$\begin{array}{rcl}23517.60 & = & P\left (1 + \dfrac{r}{n}\right)^{nt}\\\\& = & P\left (1 + \dfrac{0.025}{1}\right)^{1\times1}\\\\& = & P (1 + 0.025)\\ & = & 1.025 P\\P & = & \dfrac{23517.60 }{1.025} \\\\& = & 22 944.00 \\\end{array}$

The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.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

5 0

3 years ago

Help me smart math people

Paul [167]

Answer:

48 because i720 divided into 15 groups calculate to 48

3 0

3 years ago

What is the volume of a sphere that has<br> a radius of 11.5 units?

Brut [27]

Answer:

6370.63 is the volume

Step-by-step explanation:

V=4

3πr3=4

3·π·11.53≈6370.6263

3 0

4 years ago

Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in h

Rudik [331]

Answer:

58.55Kg

Step-by-step explanation:

450 in Kg is 0.45.

0.45 + 4.5 = 4.95. 4.95 + 53.6 = 58.55.

8 0

2 years ago

A triangle has an area of 45 square units. Its height is 10 units.

arsen [322]

4 units for base length

8 0

3 years ago