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andrezito [222]
3 years ago
10

Question number 2 answer asap please​

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

The ordered pair that is the solution to the system lies in Quadrant IV

The x-coordinate of the solution is 9

The y-coordinate of the solution is -8

Step-by-step explanation:

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Three times a number +12-5 times the same number is 22. What is the number?
igomit [66]

Let the number be x, then:-

3x + 12 - 5x = 22

-2x = 10

x = -5

4 0
3 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

8 0
1 year ago
3.1 Write the following in scientific notation<br>a) 217 000 000 b) 0,000 253​
AlekseyPX

Answer:

2.17 x 10^8

0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253

Step-by-step explanation:

6 0
3 years ago
I’m about to smash my laptop with a brick please please help
RSB [31]

Answer: y = 800

Step-by-step explanation:

3(y+200) = 3000

y+200 = 1000 (dividing 3 from both sides)

y = 800

6 0
2 years ago
Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
meriva
The points where the 2 graphs intersect is  where x = 0 and x = 2.

-                 2                                  2
x   =    INT               x dA     /    INT        dA
                  0                                  0

INT dA   = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx  =      INT -2x^2  + 4x
               =   -2 x^3/3 + 2x^2
               =   2.667  between 0 and 2

xdA  =   -2x^3 + 4x^2  INT xdA  =   -x^4/2 + 4x^3/3 = 2.667

centroid = 2.667 / 2.667  = 1  (x = 1)
3 0
3 years ago
Read 2 more answers
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