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zlopas [31]
3 years ago
7

Select the points that lie on the function g(x) = -x2 (Choose all that apply.) (0, 0) (-3, -9) (3, -9) (-3, 9)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
The function is :

                              \displaystyle{ g(x)=-x^2, 

which means that "g of a number" is equal to "negative, the square of that number".

According to the function we calculate g(0), g(-3), g(3) as follows:

g(0)=-0^2=-0=0\\\\g(-3)=-(-3)^2=-9\\\\g(3)=-3^2=-9

This means that we have the points (0, 0), (-3, -9), and (3, -9) lying on the graph of the function.


Answer: (0, 0), (-3, -9), (3, -9) 
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Megan bought 50 beads for $9.95. she received a 10% discount, she paid a sales tax of 6%. how much did she pay fro the beads
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$9.49; 10% of $9.95 is $0.995 which rounds up to a dollar; $9.95 - $1.00 = $8.95; 6% of $8.95 = $0.537 which rounds up to $0.54, so total paid is $8.95 + $0.54 = $9.49.
4 0
4 years ago
2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account
Studentka2010 [4]

The formula for compound interest is:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}

Given data:

\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}

a. After ten years, that is t = 10 years, the amount in the account will be

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}

b. After twenty years, that is t = 20 years, the amount in the account will be:

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}

c. The time it takes for Harry's initial account value to double will be:

\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}

Therefore, the time it takes Harry's initial account to double is approximately 11 years

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5 0
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90 points please help real answers !!!
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