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3 years ago

Use scientific notation to express your answer. (5x10^8)(4x10^3)

Mathematics

1 answer:

lbvjy [14]3 years ago

8 0

Answer:

2e12

Step-by-step explanation:

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The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.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

The sales tax in your city is 4.4%, and an item costs $3

Aloiza [94]

Answer:

We would pay $.13 or 13 cents

Step-by-step explanation:

To find the tax on an item, multiply the amount by the tax rate

tax =3 * 4.4%

Change to a decimal form

= 3 *.044

=.132

We round to the nearest cent

=.13

We would pay $.13 or 13 cents

7 0

3 years ago

I'll give 19 points to whoever answers this question

otez555 [7]

9: I think it is 48
10: 138

5 0

4 years ago

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How to put a fraction on lowest terms?

djverab [1.8K]

Answer: You simplify it.

Step-by-step explanation: You have to take the numerator and the denominator, find the greatest common factor, and divide it until it is at its simplest form.

Hope that helps

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4 years ago

A train traveling at a constant speed takes a passenger from Elm to Millwood, stopping at Centre along the way. It takes times a

Zigmanuir [339]

What are the numbers? I cant see the answers, but it would be one of the segment addition postulate ones

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3 years ago