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stellarik [79]
2 years ago
12

PLEASE HELP ME PLEASE PLEASE

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
3 0

Answer: D: $5272.

Step-by-step explanation:

Considering that all of the information is given to you already, the only thing that you need to do is plugin 9 for n.

So the final equation will look like this: 4500(1+0.02)^9^-^1

The answer comes out to $5272.46721451 but rounding that to the nearest dollar would be answer choice D: $5272.

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Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).
insens350 [35]

Answer:

\cos{\theta} = \dfrac{1}{52}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

\sec{\theta} = \dfrac{1}{\cos{\theta}}

we can substitute the value of sec(θ) in this equation:

52 = \dfrac{1}{\cos{\theta}}

and solve for for cos(θ)

\cos{\theta} = \dfrac{1}{52}

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by \theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ

b) since right triangle is mentioned in the question. We can use:

\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

  • length of the adjacent side = 1
  • length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2

(52)^2=(1)^2+(\text{opp})^2

\text{opp}=\sqrt{(52)^2-1}

\text{opp}=\sqrt{2703}

  • length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}

\sin{\theta} = \dfrac{\sqrt{2703}}{52}}

and since \csc{\theta} = \dfrac{1}{\sin{\theta}}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

4 0
3 years ago
(7x-49x^2)/(7x) can smeone solve this? Thank you! I hope you have a great day!
svp [43]

Answer:

x = 1/7

Step-by-step explanation:

\frac{(7x-49x^2)}{7x}\\\\\frac{7x(1-7x)}{7x} \\\\1-7x=0\\\\1=7x\\\\

x = 1/7

3 0
3 years ago
A coin is tossed 10 times resulting in 7 heads and 3 tails. The same coin is tossed 1000 times resulting in 510 heads and 490 ta
KiRa [710]
The answer is <span>C. 50%.

The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .</span><span>one probability of two probability in total (head and tail).</span>
8 0
3 years ago
The expression 3 ( 1 . 5 )^ t models the number of bacteria in a culture as a function of the number of hours since the culture
Masteriza [31]

Answer:

A

Step-by-step explanation:

Given

3(1.5)^{t}

When the culture was created t = 0, thus

3(1.5)^{0} = 3 × 1 = 3

That is there were initially 3 bacteria in the culture → A

4 0
3 years ago
I have no clue what to do... please help
strojnjashka [21]

Answer:

Multiply the base by the exponent

Step-by-step explanation:

7 0
3 years ago
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