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Tamiku [17]
4 years ago
12

the points (4,-4) and (4,-6) lie on a circle with the radius of 1. what is the center point of the circle

Mathematics
1 answer:
ycow [4]4 years ago
7 0
The centre point is given by;
( \frac{ x_{2}+ x_{1}  }{2} , \frac{ y_{2} + x_{1} }{2} )
=(  \frac{4+4)}{2}  + \frac{-4+(-6)}{2} )
=( \frac{8}{2} , \frac{-10}{2} )
=(4, -5)
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Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.
Leya [2.2K]

\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}

\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill

\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}

\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6

6 0
3 years ago
Ariana’s annual(year) pay is $34,320. What is her average gross pay?
MArishka [77]

Answer:

9. $2,860 per month

10. $660 per week

11. $94 per day <u><em>(not 100% sure on this one, not sure if its getting techinical with working 5 days a week)</em></u>

Step-by-step explanation:

9. $34,320 divide by number of months in a year (12)

10. $34,320 divide by number of weeks in a year (52)

11. $34,320 divide by number of days in a year (365)

4 0
3 years ago
Please help me with this!
GREYUIT [131]

Answer:

p=-7

Step-by-step explanation:

-11+10(p+10)=4-5(2p+11)

Firstly, expand the bracket

-11+10p+100=4-10p-55

Next, you collect like terms

10p+10p=4-55-100+11

20p=-140

Divide through by the coefficient of p

20p/20=-140/20

p=-7

5 0
3 years ago
Please answer this sum correctly which is the correct options
Sergio [31]
The first one and the second one are the correct sums

6 0
3 years ago
9. Find the area of the right triangle with<br> height of 3 2/3 feet and a base of 2 feet.
drek231 [11]

Step-by-step explanation:

Area= 1/2 * b*h

h= 3 2/3 = 11/3

Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet

3 0
3 years ago
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