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Brums [2.3K]
3 years ago
7

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 72(1.25)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:


t (number of years) 1 2 3 4
f(t) (price in dollars) 65 84.5 109.85 142.81


Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0

Answer:

hey

please mark me brainliest

Step-by-step explanation:

f(x) = 0.69 (1.03)^x

in other words TO THE POWER x

that would be 0.69 when x = 0 years, now

0.69 * 1.03 after one year

0.69 * 1.03 *1.03 after two years

0.69 *1.03*1.03*1.03 after 3 etc

It is getting bigger. Every year you increase by .03 x which is 3%

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Item 20 A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 1
levacccp [35]
Y=mx+c since its at constant rate
at (30,2)
30=m2+c-----(1)
at(12,3)
12=m3+c-----(2)
by multiplying (2)by 2.5,
30=7.5m+2.5c-----(3)
by comparing (1) and (3)
2m+c=7.5m+2.5c
5.5m+1.5c=0
5.5m=-1.5c
m=-1.5/5.5c----(4)
sub 4 into 1,
-6/11c+c=30
c=66
m=-1.5/5.5*66=-18
Equation : y=-18x+66

u can try substituting back 2min and 3 mins to verify it works
7 0
4 years ago
Write an expression for the 15th partial sum of the series 5/3 + 4/3 + 1 using summation notation.
mafiozo [28]

Answer:

Answer choice C

Step-by-step explanation:

3 0
3 years ago
The two figures shown below are congruent. Identify the corresponding sides and angles.
belka [17]
Congruent means they have the exact same dimensions in both length and angles.  If you flip the first shape clockwise by 90 degrees, you will notice that both shapes look identical. From this we can gather that:

BC = PS
AB = SR
AD = RQ
CD = PQ

likewise with the angles:
B = S
C = P
A = R
D = Q

hope this helps! xx

5 0
3 years ago
50 POINTS!!! Type the correct answer in each box. Use numerals instead of words.
Scrat [10]

Answer:

The correct answer to this is 200 and 34.90%

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 3000, so we can write it down as 100%=3000.

4. We know, that x% equals 1046 of the output value, so we can write it down as x%=1046.

5. Now we have two simple equations:

1) 100%=3000

2) x%=1046

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=3000/1046

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1046 is what percent of 3000

100%/x%=3000/1046

(100/x)*x=(3000/1046)*x       - we multiply both sides of the equation by x

100=2.868068833652*x       - we divide both sides of the equation by (2.868068833652) to get x

100/2.868068833652=x

34.866666666667=x

x=34.866666666667

now we have:

1046 is 34.866666666667% of 3000

7 0
3 years ago
Laura buys four BDs at $14 each and six CDs at $12 each. What is her change from $120?
castortr0y [4]

BDs

4 \times 14 = 56

CDs

6 \times 12 = 72

Total

56 + 72 = 128

There is no change from $120 because she doesn't have enough money.

8 0
4 years ago
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