X is Andrews age and if x stands for Andrew then
x-28=5x-160
then you would do =+160 to both sides getting x+132=5x
subtract the x from the side with 132 and then do 4 divided by 132
getting 33
Andrew is 33
9514 1404 393
Answer:
y = 2200(1.08^t)
Step-by-step explanation:
The interest earned the first year is ...
(2376 -2200)/2200 = 0.08 = 8%
The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...
y = 2200(1.08^t)
_____
The compound interest formula is ...
A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years
Answer:
x =4 ,y =4 and z =0 is the solution.
Step-by-step explanation:
We shall solve the equations using elimination method
In equation 2 and 3 we can see that coefficient of z in both equations are same with opposite sides , adding equations (2) and (3)
3y+5z = 12
y -5z = 4 adding the equations
___________
4y = 16
dividing both sides by 4
y =
y = 4
Plugging the value of y in equation 2 or equation 3 ,we get
3(4) +5z = 12
12+5z = 12
5z = 12-12 or 5z =0 gives z =0
plugging y =4 and z =0 in equation 1
2x+3(4)+ 0 = 20
2x+12 = 20
2x =20-12
2x = 8
x = 8 divided by 2 gives
x =4
therefore solution of the system is given by
x=4 , y =4 and z =0
The fabric cost $181.875
Step-by-step explanation:
Blue fabric bought = 3 3/4 yards , change to improper fraction (4*3)+3/4 = 15/4 yards
Red fabric= 12 5/6 yards = 77/6 yards
Purple fabric= 7 2/3 yards= 23/3 yards
Find total length of fabric bought, 15/4 +77/6 +23/3 =291/12 yards
Cost per yard= $7.50
Total cost will be, 291/12 * 7.50 =$ 181.875
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Answer:b
Step-by-step explanation:
The terms in Pattern B are one third the corresponding terms in Pattern A.