Rachel deposits $100 in a bank account and she gets 8% simple interest on it. Which linear model gives the return on her investment in terms of time t in years?a. R = 8t – 100
b. R = 8t + 100
c. R = 2t + 100
d. R = 88t + 100
e. R = 3t + 108

Answers

Answer 1

Answer: The answer would be B because the 100 stays in there and you are adding 8% per year. Hope this helps.

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PLEASE HELP Solve |4x - 7| = 13.

Answers

the absolut value signs mean that whatever is inside of them, you make it positive. so 4x-7 could equal 13 or -13 or both

so 4x-7=13
add 7 to both sides
4x=20
divide both sides by 4
x=5
this is one solution

4x-7=-13
add 7 to both sides
4x=-6
divide both sides by 4
x=-1.5

x=5 or -1.5

$|4x - 7| = 13\n4x-7=13 \vee 4x-7=-13\n4x=20 \vee 4x=-6\nx=5 \vee x=-(6)/(4)=-(3)/(2)$

Solve.

$√(x-1)+3=x$

Answers

$√(x-1)+3=x;\ Domain:x-1\geq0\ \wedge\ x\geq3\to x\geq1\ \wedge\ x\geq3\nD:x\in[3;\ \infty)\n\n√(x-1)=x-3\ \ \ \ |square\ both\ sides\n\nx-1=(x-3)^2\ \ \ \ |use\ of\ the\ formula:(a-b)^2=a^2-2ab+b^2\n\nx-1=x^2-6x+9\n\nx^2-6x+9=x-1\n\nx^2-6x-x+9+1=0\nx^2-7x+10=0\ \ \ \ |use\ quadratic\ formula$

$a=1;\ b=-7;\ c=10\n\n\Delta=b^2-4ac\to\Delta=(-7)^2-4\cdot1\cdot10=49-40=9\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=\sqrt9=3\n\nx_1=(7-3)/(2\cdot1)=(4)/(2)=2\notin D\n\nx_2=(7+3)/(2\cdot1)=(10)/(2)=5\in D\n\nSolution:x=5$

$√(x-1)+3=x\n √(x-1)=x-3\n D:x-1\geq0 \wedge x-3\geq0\n D:x\geq1 \wedge x\geq3\n D:x\geq3\n x-1=(x-3)^2\n x-1=x^2-6x+9\n x^2-7x+10=0\n x^2-2x-5x+10=0\n x(x-2)-5(x-2)=0\n (x-5)(x-2)=0\n x=5 \vee x=2\n 2\not \in D \Rightarrow x=5$

1) 5x-2y=4. 2) 3x-5y=13 x-2y=5
3x+y=9

Answers

$\left\{\begin{array}{ccc}5x-2y=4\n3x+y=9&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}5x-2y=4\n6x+2y=18\end{array}\right\n----------\n.\ \ \ \ \ 11x=22\ \ \ \ /:11\n.\ \ \ \ \ \ \ x=2\n\n3\cdot2+y=9\n6+y=9\ny=9-6\ny=3\n\nAnswer:x=2;\ y=3$

$\left\{\begin{array}{ccc}3x-5y=13\nx-2y=5\end{array}\right\n\left\{\begin{array}{ccc}3x-5y=13\nx=2y+5\end{array}\right\n\nsubstitute:\n\n3(2y+5)-5y=13\n6y+15-5y=13\ny=13-15\ny=-2\n\nx=2\cdot(-2)+5=-4+5=1\n\nAnswer:x=1;\ y=-2.$

What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

Answers

Answer:

Mean = 26.8

Step-by-step explanation:

In order to calculate the mean of a data set, we add up all the values in the data set and divide the sum by the number of values.

The formula for the mean is:

$\sf Mean = \frac{\textsf{Sum of all values}}{\textsf{Number of values}}$

In this case, the data set is:

{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

The sum of all the values in the data set is:

21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268.

The number of values in the data set is 10.

Substitute the given value in the above formula:

$\sf Mean = ( 268 )/( 10)\n\n = 26.8$

Therefore, the mean of the data set is 26.8.

Answer: 26.8

Step-by-step explanation:

First, we add all the numbers together.

21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Now, we divide the sum by the amount of numbers we added. Since we added 10 numbers, we divide 268 by 10.

268/10 = 26.8

What is y?

Enter your answer in the box

Answers

The answer is 97, because when you add up 42 and 55 you get 97. Then you subtract that by 180 because a triangles angles add up to 180. 180-97=83. Z=83. Z and y are supplementary to eachother, so therefore 180-83= 97. Supplementary means they add up to 180.

Find the value of x in circle O.