Urgent!! Math help!! Since you can’t see those here: C. 5/4 & D. 5/3

An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of

never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an exponential equation.

General form of an exponential function:

$f(x)=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment decreases by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

$f(x)=1000000(0.978)^x$

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

$\implies f(10)=1000000(0.978)^{10}=800500.1586$

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

brainly.com/question/27949445

brainly.com/question/27955470

3 0

2 years ago

A rocket fired straight up is tracked by an observer from the ground a mile away. (a) show that when the angle of elevation is t

Dahasolnce [82]

Let the height of the rocket be x, then
tan theta = h / 1 mile
h = 1 tan theta miles

But 1 mile = 5280 feets

Therefore, the height in feet = 5280 tan theta.

4 0

3 years ago

Identify the OUTLIER among the following data set: 5, 6, 1, 0, 6, 4, 2, 19, 6, 1, and 3.

Alekssandra [29.7K]

Answer: 19

Step-by-step explanation: It's not close to any of the other numbers, if you put it on a dot plot you can see it's farther down.

6 0

3 years ago

In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?

shusha [124]

Answer:

-2 < AC < 8

Step-by-step explanation:

The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.

8 0

3 years ago

The half-life of iron-52 is approximately 8.3 hours. Step 1 of 3: Determine a so that A(t)=A0at describes the amount of iron-52

Viktor [21]

Answer:

<h2 />

Step-by-step explanation:

Given the half like of a material to be 8.3 hours and the amount of iron-52 left after t hours is modeled by the equation $A(t) = A_0 a^{t}$ , we can get A(t) as shown;

At t = 8.3 hours, A(8.3) = 1/2

Initially at t = 0; A(0) = 1

Substituting this values into the function we will have;

$\frac{1}{2} = 1 * a^{8.3}\\\\Taking \ the \ log \ of\ both \ sides;\\\\log(\frac{1}{2} ) = log(a^{8.3} )\\\\log(\frac{1}{2} ) = 8.3 log(a)\\\\\fr-0.30103 = 8.3 log(a)\\\Dividing\ both\ sides\ by \ 8.3\\\\\frac{-0.30103}{8.3} = log(a)\\\\log(a) = - 0.03627\\\\a =10^{-0.03627} \\\\a = 0.919878 (to\ 6dp)$

4 0

3 years ago