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Sveta_85 [38]
2 years ago
3

Marta’s starting annual salary is $24,500. At the beginning of each new year, she receives a $2850 raise. Write a recursive form

ula to find Marta’s salary f(n) after n years. What will Marta’s salary be after 5 years?
Mathematics
1 answer:
vivado [14]2 years ago
3 0
There are several information's already given in the question. Let us write them down first.
Marta's <span>starting annual salary = $24500
Amount of raise she gets each year = $2850
The number of years is represented by = n years
Then
f(n) = 24500 + 2850(n)
After 5 years, salary of Marta = 24500 + (2850 * 5)
                                                = 24500 + 14250
                                                = 38750 dollars.</span>
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Answer:

Step-by-step explanation:

Hello!

X₁: speed of a motorcycle at a certain intersection.

n₁= 135

X[bar]₁= 33.99 km/h

S₁= 4.02 km/h

X₂: speed of a car at a certain intersection.

n₂= 42 cars

X[bar]₂= 26.56 km/h

S₂= 2.45 km/h

Assuming

X₁~N(μ₁; σ₁²)

X₂~N(μ₂; σ₂²)

and σ₁² = σ₂²

<em>A 90% confidence interval for the difference between the mean speeds, in kilometers per hour, of motorcycles and cars at this intersection is ________.</em>

The parameter of interest is μ₁-μ₂

(X[bar]₁-X[bar]₂)±t_{n_1+n_2-2} * Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }

t_{n_1+n_2-2;1-\alpha /2}= t_{175; 0.95}= 1.654

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{134*16.1604+41*6.0025}{135+42-2} } = 3.71

[(33.99-26.56) ± 1.654 *(3.71*\sqrt{\frac{1}{135} +\frac{1}{42} })]

[6.345; 8.514]= [6.35; 8.51]km/h

<em>Construct the 98% confidence interval for the difference μ₁-μ₂ when X[bar]₁= 475.12, S₁= 43.48, X[bar]₂= 321.34, S₂= 21.60, n₁= 12, n₂= 15</em>

t_{n_1+n_2-2;1-\alpha /2}= t_{25; 0.99}= 2.485

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{11*(43.48)^2+14*(21.60)^2}{12+15-2} } = 33.06

[(475.12-321.34) ± 2.485 *(33.06*\sqrt{\frac{1}{12} +\frac{1}{15} })]

[121.96; 185.60]

I hope this helps!

3 0
2 years ago
What is the value of x in the equation x3=27125 ?
alina1380 [7]

Answer:

x = 30.0462

Step-by-step explanation:

  1. Divide each side by 3 to cancel out the 3 next to x. It should now look like this: x = 30.0462

I hope this helps!

4 0
2 years ago
Read 2 more answers
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
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Answer:

$222

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We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

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Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

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2 years ago
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zvonat [6]

Answer:

X= -1/3, X= 19/3

Step-by-step explanation:

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2 years ago
Find the unknown side length, x. Write your answer in simplest radical form.
Anna [14]

Answer:

The length of he hypotenuse of the triangle is  x = 65.

Step-by-step explanation:

Here, the base of the right triangle = 56

The perpendicular = 33

The hypotenuse of the triangle = x

Now, by PYTHAGORAS THEOREM: In a right angled triangle

(Base)^{2}    + (Perpendicular)^{2}   = (Hypotenuse)^{2}

or, here  

(56)^{2}    + (33)^{2}   = (x)^{2}

or, x^{2}  = 3136 + 1089 \implies x = \sqrt{4225} \\x = 65

Hence, the length of he hypotenuse of the triangle is 65.

3 0
2 years ago
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