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mihalych1998 [28]
3 years ago
8

Is 0.66 greater thab 0.066

Mathematics
2 answers:
mestny [16]3 years ago
6 0

yes because 0.66    has 6 in the place value and 0.066 has a zero

Margarita [4]3 years ago
4 0

Though 0.066 has more digits, it does not mean that it is greater than 0.66. So, yes. 0.66 is greater than 0.066.

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A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the​ playground?
nadya68 [22]
You can think of a square as two isosceles right angle triangles and use Pythagoras.

x^2 + x^2 = 22^2
x^2 + x^2 = 484
2x^2 = 484
x^2 = 242
x = 11√2

One side of the playground is 11√2 m long.
5 0
4 years ago
Use substitution to solve the system.<br> -5x + 3y = 19<br> x = 3y - 11
telo118 [61]

Answer:

x = -2

y = 3

Step-by-step explanation:

-5x + 3y = 19

x = 3y - 11

-5x + 3y = 19

-5(3y - 11) + 3y = 19

-15y + 55 + 3y = 19

-15y + 3y + 55 = 19

-12y + 55 = 19

-12y = 19 - 55

-12y = -36

y = -36/-12

<u>y = 3</u>

x = 3y - 11

x = 3(3) - 11

x = 9 - 11

<u>x = -2</u>

5 0
3 years ago
What is the value of y in the given triangle?
Harlamova29_29 [7]
Answer:



55



Step-by-step explanation:



70+y+y=180 angle sum property

70+2y=180

y=110/2

Y=55
6 0
3 years ago
At an interest rate of 8% compounded annually, how long will it take to double the following investments?
Paladinen [302]
Let's see, if the first one has a Principal of $50, when it doubles the accumulated amount will then be $100,

recall your logarithm rules for an exponential,

\bf \textit{Logarithm of exponentials}\\\\&#10;log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\&#10;-------------------------------\\\\&#10;\qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;

\bf A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &\$100\\&#10;P=\textit{original amount deposited}\to &\$50\\&#10;r=rate\to 8\%\to \frac{8}{100}\to &0.08\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annnually, thus once}&#10;\end{array}\to &1\\&#10;t=years&#10;\end{cases}&#10;\\\\\\&#10;100=50\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 100=50(1.08)^t&#10;\\\\\\&#10;\cfrac{100}{50}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t)&#10;\\\\\\&#10;

\bf log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\&#10;-------------------------------\\\\&#10;

now, for the second amount, if the Principal is 500, the accumulated amount is 1000 when doubled,

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &\$1000\\&#10;P=\textit{original amount deposited}\to &\$500\\&#10;r=rate\to 8\%\to \frac{8}{100}\to &0.08\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annnually, thus once}&#10;\end{array}\to &1\\&#10;t=years&#10;\end{cases}&#10;\\\\\\&#10;1000=500\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 1000=500(1.08)^t&#10;\\\\\\&#10;

\bf \cfrac{1000}{500}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t)&#10;\\\\\\&#10;log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\&#10;-------------------------------

now, for the last, Principal is 1700, amount is then 3400,

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &\$3400\\&#10;P=\textit{original amount deposited}\to &\$1700\\&#10;r=rate\to 8\%\to \frac{8}{100}\to &0.08\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annnually, thus once}&#10;\end{array}\to &1\\&#10;t=years&#10;\end{cases}

\bf 3400=1700\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 3400=1700(1.08)^t&#10;\\\\\\&#10;\cfrac{3400}{1700}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t)&#10;\\\\\\&#10;log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t
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