Answer:
A) 3%
B) Product A
Step-by-step explanation:
<u>Exponential Function</u>
General form of an exponential function: 
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
<u>Part A</u>
<u>Product A</u>
Assuming the function for Product A is <u>exponential</u>:
The base (b) is 1.03. As b > 1 then it is an <u>increasing function</u>.
To calculate the percentage increase/decrease, subtract 1 from the base:
⇒ 1.03 - 1 = 0.03 = 3%
Therefore, <u>product A is increasing by 3% each year.</u>
<u>Part B</u>
To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:
Check using different two consecutive values of f(t):
Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.
Although the question has not asked, we can use the given information to easily create an exponential function for Product B.
Given:
- a = 10,100
- b = 1.01
- n = t - 1 (as the initial value is for t = 1 not t = 0)
To check this, substitute the values of t for 1 through 4 into the found function:
As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
1. Go on a vacation that costs $3,500
Paying off money for buying a car will not decrease your net worth as you get the car as assets for the money you use. But the depreciates 20% will cause you to lose $3,000 assets. Assuming you are not buying assets at all, go on a vacation that costs $3,500 will increase liability without any effect on assets. Paying up bills will decrease your asset but it also decreases your liability so the net worth wouldn't change.
2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.
3. $200,000
The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
Then the rest of the money that needs to be paid by the mortgage would be: $250k-$50k=$200k
4. Lower, Increase
In variable rate loans, the interest will be adjusted by the market. That means the rates will be unpredictable since it was based on the condition of the market. It will be safer for the creditor since he/she will absolutely get the revenue no matter how the market goes. This change is a bit dangerous for the borrower because the number of rates can increase dramatically.
5. Higher, lower
When you pay 30 years mortgage, the total loan is divided by 30 years which was 2 times more than 15 years. Excluding the rates, you can estimate that the 15 years mortgage payment will be twice than 30years mortgage. The total cost would also be lower since the interest rate is applied for 15 years, about half than 30 years.
6. Negative $3,500
Net worth is assets minus liability.
The list of the assets would be:
$500 in short-term savings
$5,000 in her retirement savings account
Total assets= $500+$5,000= $5,500
The list of liability would be:
$1,500 in credit card debt
student loan debt of $7,500
Total liability= $1,500+ $7,500= $9,000Net worth= $5,500- $9,000= - $3,500
For June:
Bike:
(4) * (3 1/4) = 13 miles
Swim:
(4) * (2 1/2) = 10 miles
Total:
13 + 10 = 23 miles
For July:
Bike:
(3) * (4 3/4) = 14.25 miles
Swim:
(3) * (3 1/2) = 10.5 miles
Total:
14.25 + 10.5 = 24.75 miles
The difference between both months is:
24.75 - 23 = 1.75 miles
Answer:
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater
X - y = 5,
x = 5 + y
substitute (x = 5 + y) into the first equation,
5 + y + 2y = -1
3y = -6
y = -2,
substitute y = -2 into (x - y = 5),
x + 2 = 5
x = 3
Hence, x = 3, y = -2
