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3 years ago

Which sequence is modeled by the graph below?

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

The answer is 16(1/2)^n-1.

Now how to get answer without a calculator, I'm afraid I can't tell you an exact answer, but if you are allowed to use them in class, I THOROUGHLY recommend getting a graphing calculator for questions like these. You just have to plug in the equation and see what you get.

For a method without the calculator, take each x (2,3,4,5) and plug them into the equation and see which one will match up. It's a tedious method, but it'll help you get the correct answer.

You might be interested in

34% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mo

tamaranim1 [39]

Answer:

solution below

Step-by-step explanation:

The question says 6 working mother's were selected so n = 6 not 0.6

We are expected to find

P(X = 0,1,2,3,4,4,6)

1. When x = 0

6C0*(0.34)⁰*(0.66)⁶

= 1 *1* 0.827

= 0.0827

2. When X = 1

6C1*(0.34)¹*(0.66)⁵

= 6 x 0.34 x 0.252

= 0.2555

3. When X = 2

6C2*(0.34)²*(0.66)⁴

= 15 x 0.1156 x 0.1897

= 0.3289

4. When x = 3

6C3*(0.34)³*(0.66)³

20 x 0.039304 x 0.2875

= 0.2599

5. When X = 4

6C4*(0.34)⁴*(0.66)²

= 15 x 0.01336 x 0.4356

= 0.8729

6. When x = 5

6C5*(0.34)⁵*(0.66)¹

= 6 x 0.0045 x 0.66

= 0.01782

7. When x = 6

6C6*(0.34)⁶*(0.66)⁰

1 x 0.0015 x 1

= 0.0015

5 0

4 years ago

Katie lunch cost 17 dollars without tax she leaves the waiter a tip of 18 percent of the cost of the lunch without tax what is t

AveGali [126]

Answer:

$20.06

Step-by-step explanation:

17 x 0.18 = 3.06 Multiply the cost by the tip percent

17 + 3.06 = $20.06 Add the tip amount to the original cost

7 0

3 years ago

Cesar invests $8200 in two different accounts. The first account paid 13 %, the second account paid 2 % in interest. At the end

Ugo [173]

a = amount invested at 13%

b = amount invested at 2%

we know the total amount invested is 8200, so if the first amount is say "a", the second amount must be the slack left from subtracting "a", namely b = 8200 - a.

we also know 13% of "a" plus 2% of "b" yielded an interest of $461 in a year.

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{13\% of a}}{\left( \cfrac{13}{100}\right)a\implies 0.13a}~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)b\implies 0.02b} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{sum of the percentages}}{0.13a+0.02b}~~=~~\stackrel{\textit{yield for 1 year}}{461}\implies 0.13a+0.02\left(\boxed{8200-a} \right) = 461 \\\\\\ 0.13a+164-0.02a=461\implies 0.11a+164=461\implies 0.11a=297 \\\\\\ a = \cfrac{297}{0.11}\implies \blacktriangleright a = 2700 \blacktriangleleft ~\hfill b = 8200-2700\implies \blacktriangleright b = 5500 \blacktriangleleft$

3 0

4 years ago

3.045 divided by 1.5

Serjik [45]

It’s 2.03, you just put it into a calculator

6 0

4 years ago

What is the solution to the equation 4x - 6 = 10x - 3?

beks73 [17]

$\huge{\boxed{\tt{Solution:-}}}$

$\sf {4x-6=10x-3}$

What is the solution of the equation:

$\sf{(a.)\:x=\dfrac {-1}{2}}$

$\sf{(b.)\:x=-2}$

$\sf{(c.)\:x=\dfrac {1}{2}}$

$\sf{(d.)\:x=2}$

Now, we solving it :

$\sf{: \implies {4x - 6 = 10x - 3}} \\ \\ \sf{: \implies { - 6 + 3= 10x - 4x}} \\ \\ \sf{: \implies { - 3= 6x}} \\ \\ \sf{: \implies { \dfrac{- 3}{6} = x}} \\ \\ \sf{: \implies {\dfrac{- 1}{2} = x}} \\ \\ : \implies {\boxed{ \sf{x =\dfrac{- 1}{2}}}}$

$\bf{\therefore{Correct \:solution\:is\:(a.)\:x=\dfrac {-1}{2}.}}$

$\rule {307}{2}$

5 0

4 years ago