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3 years ago

Section 1

Mathematics

1 answer:

Paladinen [302]3 years ago

4 0

Answer:

1/2

Step-by-step explanation:

A nickel doesn't matter - it is just 1/2.

Hope this helps :D

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Part a : find the value of y.

uranmaximum [27]

Part A...Y=9, Part B, m=54 degrees

5 0

4 years ago

Read 2 more answers

Which expression is equivalent to square root 55x^7y6/11x^11y^8

Novay_Z [31]

Answer:

$\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}$

Step-by-step explanation:

$\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a$

$=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}$

6 0

3 years ago

Please help!!! ASAP someone please

murzikaleks [220]

Answer:

0.31 yr

Step-by-step explanation:

The formula for interest compounded continuously is

$FV = PVe^{rt}$

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

$\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}$

1. Brianna's doubling time

$\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.065}\\\\& = & \textbf{10.663 yr}\\\end{array}$

2. Adam's doubling time

The formula for interest compounded periodically is

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

where

n = the number of payments per year

If FV is twice the PV, we can calculate the doubling time.

$\begin{array}{rcl}2 & = & \left (1 + \dfrac{0.0675}{4} \right )^{4t}\\\\&= & (1 + 0.016875 )^{4t}\\& = & 1.016875^{4t}\\\ln 2& = & 4 (\ln 1.01688)\times t \\& = & 0.066937t\\t& = & \dfrac{\ln 2}{0.066937}\\\\& = & \textbf{10.355 yr}\\\end{array}$

3. Brianna's doubling time vs Adam's

10.663 - 10.355 = 0.31 yr

It would take 0.31 yr longer for Brianna's money to double than Adam's.

3 0

3 years ago

A line containing the points (3,7) and (-1,5) is perpendicular to and has a y-intercept of 3. Where do they intersect?

Phoenix [80]

Answer:

they intersect at coordinates (-2,6)

Step-by-step explanation:

i hope this helped

3 0

3 years ago

If the restaurant bill is $21.60, and I want to leave a 15% tip for my waitress, how much money should I leave for the tip?

Nadusha1986 [10]

Answer:

$3.24

Step-by-step explanation:

3 0

4 years ago