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PilotLPTM [1.2K]
3 years ago
5

anna has $50.00 in the bank. she adds $5.00 in the first week,$10.00 in the second week,and $15.00 in thr third week. at this ra

te, how much money will she have in the bank at the end of 6 weeks
Mathematics
1 answer:
Ronch [10]3 years ago
5 0
At the end of six weeks, she would have $155 in the bank. At this rate, the expression is as follows: $5 + $10 + $15 + $20 + $25 + $30 = $105. Because she already had $50 in the bank, that is another $50 added to the total. This gives the answer $155.
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Is amount off an increase or decrease​
Mashutka [201]
Decrease because you taking something off of something
7 0
4 years ago
Evaluate log 2 base 8​
iren2701 [21]

Answer:  The correct answer is:  " 3 " .

_______________________________

Step-by-step explanation:

_______________________________

The problem given is:

_______________________________

Evaluate:  log 2 base 8 .

_______________________________

Rewrite as:  " log_2}8 = ? _______________  " ;  log_2}8 = ? _______________

_______________________

Take note of the following definition of a logarithm:

_______________________

"   log_{m}n = a " ;  ↔  " m^{a} =n  "  ;

_______________________

in which:  m  refers to the "base" ;

               n  refers to the "argument" ;

               a  refers to the "exponent" ;

______________________________

As such:

       " log_2}8 = ? _______________ "

      ⇔ " 2^{x} = 8 " ; Solve for "x" ;  

 _______________

 Note:  

  2⁰ = 1 ;

  2¹ = 2 ;

  2² = 2 * 2 = 4 ;

  2³ = 2 * 2 * 2 = 8 .

___________________

 → " 2^{x} = 8 " ;

 → " 2^{3} = 8 " ;  since: " 2^{3} = 2  *2 *2 = 8 " ;

 → as such:   " x = 3  " ;

______________________

Thus:

"log 2 base 8 " ;

          = log{_{2}}8 = 3  .

_______________________

Hope this helps!

Best wishes to you!

3 0
3 years ago
I need help with #8. I need to use the quadratic formula. I have a calculator that is programmed for the quadratic formula so al
GuDViN [60]

Answer:

  x = 14

Step-by-step explanation:

Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.

The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:

  138 = (376 -23x) +(x^2 -8x)

Subtracting 138 and collecting terms we have ...

  x^2 -31x +238 = 0

For your calculator, a=1, b=-31, c=238.

__

<em>Additional comment</em>

You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.

For x=14, the marked angles are A = 84°, C = 54°.

8 0
3 years ago
What’s the volume of the prism
likoan [24]

Answer:

384 cubic inches (in^3)

Step-by-step explanation:

volume = length * width * height

So find the volume of the large rectangle of the prism, then find the volume of the small rectangle of the prism. Add the two volumes together and the sum is your final answer.

<u>I would appreciate Brainliest, but no worries.</u>

4 0
3 years ago
Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,
Olegator [25]

Answer:

Step 3 is not correct (should be (x-4)^2, not (x+4)^2

Step-by-step explanation:

The expression that we have to simplify is:

5x^2-40x+15

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3) --> this step is correct

2) We add +16 and -16 inside the brackets:

5(x^2-8x+16-16+3) --> this step is correct

3) We rewrite the term (x^2-8x+16) as the square of a bynomial, which is (x-4)^2, so the expression becomes

5((x-4)^2-16+3) --> we notice that this step is wrong: in fact, Cedric wrote (x+4)^2, which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

5((x-4)^2-13)

5) Finally, we multiply the 5 by the terms in the bracket:

=5(x-4)^2-65

5 0
3 years ago
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