MATHEMATICS HIGH SCHOOL

$1500 at 4% for 5 years

show your work please.

Answers

Answer 1

Answer:

Answer:

$12825

Step-by-step explanation:

If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825

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I NEED HELP!!! THE QUESTIONS AND THE ANSWERS ARE DOWN BEELOW!!!
Cube root of 8x minus 2 equals 4
36% of what number is 27?

What is the number of real solutions?-7x²-11x-2=0

One solution?
two solutions?
no real solution?
cannot be determined

Answers

Answer: [B]: Two (2) real solutions .
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Explanation:
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  Given:   -7x² − 11x − 2 = 0 ;
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  We see that it is in "quadratic format" ; that is:
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  " ax² + bx + c = 0 ; a ≠ 0 ; "
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Multiply the entire equation by "-1" ; to get rid of the "negative number" :
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→ -1 * {-7x² − 11x − 2 = 0} ;
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to get: → 7x²  + 11x + 2 = 0 ;
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This expression is written in the "quadratic format";

ax² + bx + c = 0 ; in which: a = 7 ; b = 11; c = 2 ;
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     The expression cannot be "factored"; so, we can solve for "x" ; by using the "quadratic equation formula" ;
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x = {-b ± √(b² − 4ac)} / {2a} ;
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Let us solve for:  "(2a)" : 2a = 2 * a = 2 * 7 = 14 ;

Let us solve for: "(b² − 4ac)": 11² − 4*7*2 = 121 − 56 = 65;

→ √(b² − 4ac) = √65
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  → " -b" = -11 ;
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So, x = (-11 ± √65) / 14 ;
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There are TWO (2) solutions:
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Solution 1) x = (-11 + √65) / 14 = - 0.2098387322643893071; AND:
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Solution 2) x = (-11 − √65) / 14 = -1.3615898391641821214 ;
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So, there are TWO (2) real solutions.
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Please please help me

Answers

Answer:

Step-by-step explanation:

(Tangent Length)^2 = y*(y + 11) You are going to have to use the quadratic formula on this.

Tangent Length = 7

7^2 = y * (y + 11)

49 = y^2 + 11y

0 = y^2 + 11y - 49

a = 1

b = 11

c = - 49

When you solve this quadratic equation you get

x1 = 3.40 which is the answer you go with.

x2 = -14.40 which can't be used. A negative length has no meaning.

Three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1. what is the number?

Answers

Let the number be y;
3+8y=3(2y-1)
8y+3=6y-3
Putting like terms together;
8y-6y=-3-3
2y=-6
y=-3
The number is -3

Answer: The required number is -3.

Step-by-step explanation: Given that three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1.

We are to find the number.

Let x represents the given number.

Then, according to the given information, we have

$8x+3=3(2x-1)\n\n\Rightarrow 8x+3=6x-3\n\n\Rightarrow 8x-6x=-3-3\n\n\Rightarrow 2x=-6\n\n\Rightarrow x=-(6)/(2)\n\n\Rightarrow x=-3.$

Thus, the required number is -3.

An angle measures 52° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

64º and 116º

Step-by-step explanation:

x + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º

What is the simplified form of the expression square root of 1/144?

Answers

$\sqrt{ (1)/(144)} = \sqrt{ (1)/( 12^(2)) } = (1)/(12)$

1/12

When simplifying a radical, pull out any perfect squares. In this case it works out nicely. 1 is the square of 1 and 144 is the square of 12, so you get 1/12.

In another case such as sqrt(20) you can pull out a 4 which is a perfect square which leaves 5. So the answer would be 2sqrt(5).

Figure A is a scale image of Figure B.A
11
1
Figure A
10
Figure B
What is the value of x?