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2 years ago

12

If the rate of inflation is 3.7% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following

exponential function, where t is the number of years from today.
p(t)=2000(1.037)^t
current price?
price 9 years from today?

1 answer:

larisa86 [58]2 years ago

8 0

Answer:

50000000

Step-by-step explanation:

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Select the two statements that are true about the equation −10=60(−40)

Aleksandr-060686 [28]

Answer:

The slope of the line is 60

One point on the line is (40, 10)

Step-by-step explanation:

The missing choices are :

1) The slope of the line is 10

2)One point on the line is (40, 10)

3)The slope of the line is 60

4)One point on the line is (10, 60)

Given the equation y−10=60(x−40), applying distributive property we get:

y−10=60x - 60*40

t = 60x - 2400 + 10

t = 60x - 2390

The slope is the number that multiplies x, that is, 60.

To check if the point (40, 10) belongs to the equation, replace the values x = 40 and y = 10 in the equation, as follows:

(10)−10=60((40)−40)

0 = 0

The same number appear at both sides of the equal sign, then the point (40, 10) is on the line. Analogously, for point (10, 60):

(60)−10=60((10)−40)

50 = 60*(-30)

50 = -1800

The two numbers are different, then, the point (10, 60) is not on the line.

4 0

3 years ago

Read 2 more answers

-14x + 15y = 15 <br> -21x - 20y = -10<br> Use substitution to find the x and y coordinates.

denis-greek [22]

          -14x + 15y = 15
      -14x + 14x + 15y = 14x + 15
         15y = 14x + 15
          15    15
         y = ¹⁴/₁₅x + 1
   -21x - 20y = -10
   -21x - 20(¹⁴/₁₅x + 1) = -10
-21x - 20(¹⁴/₁₅x) - 20(1) = -10
       -21x - 18²/₃x - 20 = -10
      -39²/₃x - 20 = -10
      + 20 + 20
      -39²/₃x = 10
       -39²/₃   -39²/₃
   x = ⁻³⁰/₁₁₉
         y = ¹⁴/₁₅x + 1
   y = ¹⁴/₁₅(⁻³⁰/₁₁₉) + 1
   y = ⁻²⁸/₁₁₉ + 1
   y = ⁹¹/₁₁₉
      (x, y) = (⁻³⁰/₁₁₉, ⁹¹/₁₁₉)

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3 years ago

Explain the phrase conservation of energy and provide an example.

liubo4ka [24]

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

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3 years ago

Complete the equation, by supplying the missing exponent.<br> m•n2•m3= m 11n2

MaRussiya [10]

Given:

Consider the given equation is:

$m^?\cdot n^2\cdot m^3=m^{11}\cdot n^2$

To find:

The missing exponent.

Solution:

Let x be the missing exponent. Then the given equation can be written as

$m^x\cdot n^2\cdot m^3=m^{11}\cdot n^2$

It can be rewritten as:

$(m^x\cdot m^3)\cdot n^2=m^{11}\cdot n^2$

$m^{x+3}\cdot n^2=m^{11}\cdot n^2$ $[\because a^ma^n=a^{m+n}]$

On comparing the coefficient of m, we get

$x+3=11$

$x=11-3$

$x=8$

Therefore, the value of the missing exponent is 8. So, the complete equation is $m^8\cdot n^2\cdot m^3=m^{11}\cdot n^2$ .

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2 years ago

What is the value of 2 + b(a? + 4) when a = 2 and b = 4?<br> A 22<br> B 34<br> C 2<br> D 48

lisov135 [29]

Answer: 26

Step-by-step explanation:

lets replace a and b with the numbers provided

2+4(2+4)=2+4(6)=2+24=26

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3 years ago