Lossa

The public debt of Apexico is 4,628,599,173,971,366 Apex dollars, while its

Ivanshal [37]

The public debt of Apexico is 4,628,599,173,971,366 Apex dollars, while its

gross domestic product (GDP) is 15,274,449,110,385,172 Apex dollars. What

is Apexico's debt-to-GDP ratio?

Answer: 30%

3 0

3 years ago

From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe

Alexandra [31]

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363 million TVs were sold

Step-by-step explanation:

Given

$n = 26.8(0.85)^t$

Solving (a): The decay factor

An exponential function has the form

$y = ab^x$

Where b is:

$b = decay\ factor\ or\ growth\ factor$

By comparison:

$b = 0.85$

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

$P = 1 - b$

Substitute 0.85 for b

$P = 1 - 0.85$

$P = 0.15$

Convert to percentage

$P = 0.15*100\%$

$P = 15\%$

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in: $n = 26.8(0.85)^t$

$n = 26.8(0.85)^2$

$n = 26.8*0.7225$

$n = 19.363$

4 0

3 years ago

Reagan has a savings account that earns 1.87% interest, compounded quarterly. If she needs $20,857 for a down payment on a house

MatroZZZ [7]

To solve this, we are going to use the compounded interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

We know from our problems that she needs $20,857 for a down payment on a house in 9 years, so $A=20857$ and $t=9$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{1.87}{100} =0.0187$
Since the interest is compounded quarterly, it is compounded 4 times per year; therefore, $n=4$ .
Lets replace the values in our formula to find $P$ :
$A=P(1+ \frac{r}{n} )^{nt}$
$20857=P(1+ \frac{0.0187}{4} )^{(4)(9)}$
$P= \frac{20857}{(1+ \frac{0.0187}{4} )^{(4)(9)}}$
$P= \frac{20857}{(1+ \frac{0.0187}{4} )^{36}}$
$P=17633.17$

We can conclude that the correct answer is: <span>B. 17,633.17</span>

7 0

4 years ago

Jonathan measured 2 cups of flour into a bowl on the counter. Then he spilled part of it, and now there is only 3/8 cup left. Ho

sveticcg [70]

He spilled 1 and 5/8 cups because 2-3/8= 1 5/8. To check that, use 1 5/8+ 3/8= 2 cups.

7 0

3 years ago

If 5 students had to share 7 brownies, how much would each student get?

Furkat [3]

It would be 35 because 7x5 equals 35

7 0

3 years ago