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Sonbull [250]
2 years ago
15

I need help I can’t understand this

Mathematics
1 answer:
Lunna [17]2 years ago
6 0

9514 1404 393

Answer:

  P_1=11.7\\P_2=15.21\\P_n=9\cdot1.3^n\\P_{10}\approx124.07

Step-by-step explanation:

An exponential function can be written in the form ...

  y = a·b^x

where x is the independent variable, b is the common ratio, and 'a' is the initial value (when x=0). The "common ratio" is the ratio of each term to the one before. For example, b = P₁/P₀.

Here, you are told the initial value (P₀) is a=9, and the common ratio is b=1.3. The independent variable is given as n, so your population formula is ...

  P(n) = 9·1.3^n

__

You are asked for values when n = 1, 2, and 10. Since you know the common ratio, you can simply multiply P₀ by 1.3 to get P₁:

  P₁ = 1.3·P₀ = 1.3·9 = 11.7

Similarly, ...

  P₂ = 1.3·P₁ = 1.3·11.7 = 15.21

__

You could continue up to P₁₀, but it is easier to use a calculator to evaluate the exponential function.

  P(10) = 9·1.3¹⁰ ≈ 124.07

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Please answer with work explanation (if possible)
andrey2020 [161]

Answer:

$357.42

Step-by-step explanation:

So first I multiplied $425.50 by 20%.

$425.50 * 0.20=  85.10

$425.50- 85.10= $340.40

$340.40 * 0.05 = $17.02

$340.40 * 0.07 = $23.828

$340.40 + 23.828 + 17.02= $ 357.42

The sale price of Dean's guitar is $357.42.

4 0
2 years ago
Hey everyone I need help on the questions please!:)​
Aneli [31]

Answer:

a. 1/2

b. 1 hair cut

c. 2.5

Step-by-step explanation:

4/8 divde by 4 to simplify and that gets you 1/2

8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

8 0
2 years ago
Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

x = 195/5

x = 39

We use that x value to find each missing angle

  • angle1 = 4x = 4*39 = 156 degrees
  • angle2 = x-15 = 39-15 = 24 degrees

Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

6 0
2 years ago
Twelve more than half of a number is equal to the number
tester [92]
Let's consider that number to be 'x'..
So, twice the number (2x) is 12 greater than than the half of the number.
So the equation will be like,
2x=12+x/2
Solving this further,
2x=(24+x)/2
=> 4x=24+x
=>4x-x=24
=>3x=24
=>x=8..
So the number is "8".
5 0
2 years ago
Simplify the equation.​
Phoenix [80]

Answer:

C. 3j^{3}l

Step-by-step explanation:

1) First you cancel k^{2} because they are completely the same. then you take out the constants and simply.

2)You then have to use the Quotient Rule:

\frac{x^{a} }{x^{b} } =x^{a - b}

You should have ...

3j^{6-3} l^{5-4}

3) Simplify 6 − 3 to 3.

3j^{3} l^{1}

4) Simplify 5 − 4 to 1.

5) Use Rule of One: x^{1} =x

Answer is !!!

3j^{3} l

5 0
3 years ago
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