The new girth is 22 inches; the reference girth is 20 inches. The weight is proportional to the girth, so the reference weight will get multiplied by 22/20 = 11/10.
Step-by-step explanation:
The answer is for the vertex is (7,1)
Answer:
The proposed rule correctly works.
Step-by-step explanation:
As the original triangle has the vertices with the coordinates
From the given diagram, the image of the triangle has the vertices
A'(10, 4)
B'(5, 4)
C'(5, 0)
According to the proposed rule, the image should have the following vertices.
(x,y) ➝ (y+4, -x-2)
A(-6, 6) ➝ (6+4, -(-6)-2) = A'(10, 4)
B(-6, 1) ➝ (1+4, -(-6)-2) = B'(5, 4)
C(-2, 1) ➝ (1+4, -(-2)-2) = C'(5, 0)
So, the coordinates of the image of the triangle are correctly drawn as per the proposed rule.
Therefore, the proposed rule correctly works.
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:
$5,003.23
Step-by-step explanation:
A = P x e^rt
= 4,200 x (e^0.035 x 5 )
= $5,003.23
