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3 years ago

Simplify the expression.57 – 12 ÷ 4 • 3

Mathematics

1 answer:

JulsSmile [24]3 years ago

7 0

Remember P.E.M.D.A.S

57 - 12 ÷ 4 · 3

= 57 - 3 · 3

= 57 - 9

= 48

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Convert the repeating decimal to a fraction

lilavasa [31]

17. 2/3
18. 1 1/9
20.9 1/11
21. 2 909/100 (closest i could get)
Hope I helped and hope you had a good day!

6 0

3 years ago

Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun

navik [9.2K]

Total = Principal × ( 1 + Rate )^years
Total = 150,000 * (1.055) ^ 30
Total = 150,000 * 4.9839512884
Total = 747,592.69

Total = 150,000 * (1.065) ^ 30
Total = 150,000 * 6.614366163 
Total = 992,154.92

Difference = 992,154.92 -747,592.69 =
244,562.23 

Source:
http://www.1728.org/compint.htm
online interest calculator

7 0

2 years ago

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

6 0

2 years ago

Say that the economy is in a recession, which is causing the value of gold to fall by three percent. If you have gold reserves w

stiv31 [10]

If 100% is 8590$
Than 1% is 85.9$
3% is then 257.7$

5 0

3 years ago

Give the values of a, b, and c needed to write the equation's standard form.(5 + x)(5 - x) = 7A = 1; B = 0; C = -18A = 25; B = 0

Maksim231197 [3]

We need to FOIL that out and then get it into standard form to see what our A, B, and C are. FOILing gives us $25-x^2=7$ . If we move the 7 over by subtraction and set it equal to 0, we have $-x^2+18=y$ . In order to avoid a negative leading coefficient, we can change all the signs to get $x^2-0x-18=0$ so A = 1, B = 0, C = -18, first choice above.

5 0

2 years ago