Answer:
8.43 years
Step-by-step explanation:
Given data
Cost price P= $4995
Rate r= 10%
FInal amount A= $2150
The expression for the time/duration is given as
t= ln(A/p)/r
t= ln(2150/4995)/0.1
t= ln(0.430)/0.1
t= 0.843/0.1
t= 8.43
Hence the time it will take is 8.43 years
Answer:
#adult tickets sold = 346
#student tickets sold = 812
Step-by-step explanation:
let 'x' = # adult tickets sold
let 'y' = # students tickets sold
System of Equations:
x + y = 1158
5x + y = 2542
I used the elimination method and multiplied the first equation by -1
-x - y = -1158
+<u> 5x + y = 2542</u>
4x = 1384
x = 346
346 + y = 1158
y = 812
Answer:
5 felt pads.
7 cards.
Step-by-step explanation:
Remark
- The total number of items is 12
- So let the felt sheets be x
- Let the cards = y
Equations and Solution
x + y = 12
Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.
0.5x + 0.75y = 7.75 Multiply this equation by 2
x + 1.5y = 15.50 write the first equation underneath and subtract.
<u>x + y = 12</u>
.5y = 3 Divide by 0.5
y = 3/0.5
y = 7
So she can get 7 cards.
x + y = 12
x + 7 = 12
x = 12 - 7
x = 5
So she can buy 5 felt pads.
Answer:
Option B
Step-by-step explanation:
Dilation does not change the value of angle.
so angle measurement should be same as before .
Angle A= 37
Scale factor is 3 so multiply length by 3
So A'C'= 3×5 =15
The answer tour question is D
