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Algebra II

Consider the exponential function $f (x) = 1, 250 \cdot {1.08}^{x}$ which models the amount of money invested in a bond fund where x represents the number of years since the money was invested. a. What is the rate of growth or decay?
b. What does 1,250 represent?

Annette Arroyo 2021-01-31

Identify each function as exponential growth or decay, and find the growth or decay factor.
$y = 3 \cdot {(\frac{1}{2})}^{x}$

aortiH 2021-01-30

A rational expression whose numerator or denominator or both contain rational expressions is called $a / a n$ _ rational expression or $a / a n$ fraction___.

ringearV 2021-01-30

Solve:
$x^{3} - 3 x^{2} + 27$ is congruent to 0 (mod 225)

UkusakazaL 2021-01-30

$(\frac{y}{y^{2} - 16} - (\frac{2}{y^{2} + 9 y + 20}) = \frac{1}{y - 4}$

iohanetc 2021-01-28

Rational numbers: wha is -9 as a rational number

texelaare 2021-01-28

The loudness L(x), measured in decibels (dB), of a sound of intensity x, measured in watts per square meter, is defined as $L (x) = 10 \log (\frac{x}{10})$ , where $I_{0} = 10^{- 12}$ watt per square meter is the least intense sound that a human ear can detected. Determine the loudness, in decibels, of each of the following sounds.
Heavy city traffic: intensity of $x = 10^{- 3}$ watt per square meter.

Tobias Ali 2021-01-27

Determine whether statement, I’ve

jernplate8 2021-01-27

An object moves in simple harmonic motion with period 8 minutes and amplitude 16 m. At time $t = 0$ minutes, its displacement d from rest is 0 m, and initially it moves in a positive direction. Give the equation modeling the displacement d as a function of time f.

geduiwelh 2021-01-27

Marcus rowed 20 miles downstream in 2 hours. The trip back, however, took him 4 hours. Find the rate that Marcus rows in still water and the rate of the current. If x is Marcuss

allhvasstH 2021-01-27

Find the sum of a given arithmetic sequence:
$\sum n = 1 100 (6 - 12 n)$

Emily-Jane Bray 2021-01-27

Find an exponential function of the form $P (t) = P_{0} n^{\frac{t}{T}}$ that models the situation, and then find the equivalent exponential model of the form $P (t) = P_{0} e^{r t}$
1) Doubling time of 25 weeks, initial population of 1300

jernplate8 2021-01-25

You just bought a new car for $22,000. Assume that the value of your new car depreciates at a constant $12 %$ per year.

1) The decay rate is square

2) The decay factor is square

3) The equation of the function that represents the value, V(t), of the car in dollars t years from now is $V = ◻$ (Write an expression that completes the function's equation.)

Armorikam 2021-01-25

Solve for x using $\log 50 = 600 e^{- 0.4 x}$

Dolly Robinson 2021-01-24

A bird flies in the xy-plane with a position vector given by $\vec{r} = (α t - β t^{3}) \hat{i} + γ t^{2} \hat{j}$ , with $α = 2.4 \frac{m}{s}, β = 1.6 \frac{m}{s^{3}}$ and $γ = 4.0 \frac{m}{s^{2}}$ . The positive y-direction is vertically upward. At the bird is at the origin.
Calculate the velocity vector of the bird as a function of time.
Calculate the acceleration vector of the bird as a function oftime.
What is the bird's altitude(y-coordinate) as it flies over x=0 for the first time after ?

Haven 2021-01-24

Solve the equation or formula for the variable indicated. $10 c - f = - 13 + c d$ , for c

waigaK 2021-01-24

Consider the the equations:
Equation 1 is 5x - 2y - 4z = 3
and
Equation 2 is 3x + 3y + 2z = -3.
Eliminate z by copying Equation 1, multiplying Equation 2 by 2, and then adding the equations.

Clifland 2021-01-23

Find the multiplier for the rate of exponential growth or decay. 3% decay ________

nagasenaz 2021-01-23

What is the solution to this system of equations?
3x-y+5=0
2x+3y-4=0

Nannie Mack 2021-01-23

Put each fractional expression into standard form by rationalizing the denominator. Gives the fraction $\frac{9}{4 t h r o o t} (2) .$ Should I be multiplying the fraction by the starting denminator, or should I change the exponents?

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