Answer:
1. $686.94
2. $735.03
3. $10707.55
4. $17631.94
5. $19635.72
Step-by-step explanation:
1st Question:
The interest rate is 7% for each year. This means that each year the person has to pay 7% more than the previous amount. So we need to multiply the initial amount by (0.07+1=1.07) in order to get the interest for the first year. if we want to find the second year's interests then we will have to multiply 2 (1.07)'s and so on.
in this case our function is: 600*(1.07)^t=P(t)
when t=2 P(2)=600*(1.07)^2=$686.94
2nd Question:
Function: 600*(1.07)^t=P(t)
when t=3 P(3)=600*(1.07)^3=$735.03
3rd Question:
initial value=$8500
1+0.08=1.08
Function: 8500*(1.08)^t=P(t)
t=3
P(3)=8500*(1.08)^3=$10707.55
4th Question:
initial value=$12000
1+1.08=1.08
t=5
Function: P(t)=12000*(1.08)^t
P(5)=12000*(1.08)^5=$17631.94
5th Question:
Function: 14000*(1.07)^t=P(t)
P(5)=14000*(1.07)^5
P(5)=$19635.72
Answer:
The area of the pentagon is approximately 21 square units
Step-by-step explanation:
The radius of the circle in which the regular pentagon is inscribed, r = 3
The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;
A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)
Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈ 21
The area of the pentagon, A ≈ 21 square units.
The answer is c because of the graph going up
Answer:
12<14
x<12
14>12
14>x
Step-by-step explanation:
I dont know if it is correct but I think it is that way try
Answer: 71
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
We have 62, 63, 67, 70, 72, 74, 76, 78.
In this set however, notice that there is no 1 middle number.
In this situation, we add the two number that are in the middle and multiply the sum by 1/2. So we have 70 + 72 which is 142.
So we have 142 · 1/2 which simplifies to 71.
So the median is 71.
