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bonufazy [111]
2 years ago
9

Average national teachers salaries can be modeled using the equation y=9.25(1.06)^n , where y is the salary in thousands of doll

ars and n is the number of years since 1970
A) graph the function
B) using this model, what can a teacher expect to have as a salary in year 2020?
Please help !
Mathematics
1 answer:
kiruha [24]2 years ago
6 0
y=9.25(1.06)^{n}
Plug in n to find y.
n would be 50 because 2020-1970=50.

Use order of operations to solve.
y=9.25(1.06)^{50} \\ y=9.25(18.42) \\ y=170.39

Since y is the salary in thousands, multiply 170.39 by 1000.
170.39*1000=17039

A teacher can expect to have about $17,039 as a salary in the year 2020.
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Fudgin [204]

check the picture below.

namely, which of those intervals has the steepest slope, recall slope = average rate of change.

now, from the picture, notice, those two there are the steepest, the other three are leaning too much to the "ground".

so, from those two, which is the steepest anyway?  let's check their slope.


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\bf \stackrel{\textit{from the 1st to the 2nd hour}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{34})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{34-12}{2-1}\implies \cfrac{22}{1}\implies 22~~\checkmark

4 0
3 years ago
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The fi
mel-nik [20]

Answer:

Lateral Surface Area = 472 m²

Total Surface Area = 486m²

Step-by-step explanation:

The above prism is a Triangular prism

a) Lateral Surface Area = Perimeter of the Base × H

H = 29m

Perimeter of the Base = (7m + 7.28m + 2m)

= 16.28m

Lateral Surface Area = 16.28m × 29m

= 472.12 m²

Approximately to the nearest whole number = 472 m²

b) Total Surface Area

Triangular prism =

2 Triangles and 3 Rectangles

1st Triangle = 1/2 × base × Height

= 1/2 × 2m × 7m

= 7m²

2nd Triangle = 1/2 × base × height

= 1/2 × 2m × 7m

= 7m²

1st Rectangle = Length × Width

= 29m × 2m = 58m²

2nd Rectangle =

Length × Width

= 29m × 7.28m = 211.12m²

Length × Width

= 29m × 7m = 203m²

Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²

= 486.12m²

Approximately to the nearest whole number = 486 m²

Option A is the correct option

6 0
3 years ago
ON THE SAME STUDY GUIDE! PLEASE HELP
Lera25 [3.4K]

Answer:

x = 4 ; y = 8

Step-by-step explanation:

we can use a system of two equation

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y-5 = 2x-5

we can find x in the first equation

x = y -4

we can now substitute x with this value in the second equation

y-5 = 2(y-4)-5

y = 2y-8

y = 8

we can now find x

x = 8-4 = 4

verify

2(4)-5 = 3

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3 0
3 years ago
What is prime factorization?
Mila [183]
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3 years ago
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scoundrel [369]
Three times longer than the second one.
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3 years ago
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