Answer:
some
Step-by-step explanation:
Answer:
infinitely many
Step-by-step explanation:
Rewrite these equations as
y = (1/2)x + 1
2y = x + 2
and then solve the second for y: y = (1/2)x + 1. Note that these end results are identical. The two lines coincide; that is, one lies right on top of the other. Thus, there are infinitely many solutions.
128 pencils divided by 6 pencils that can be put in a box; 128÷6=21 with a remainder of 3
Martin needs 3 more pencils for the last box, beacuse he has 3 leftovers and 6 can go into the box. 6-3=3
Answer:
P = $300
r = 0.15
n = 12
$544.61 (to the nearest cent)

$524.70 (to the nearest cent)
Step-by-step explanation:
P = principal amount = $300
r = annual interest rate in decimal form = 15% = 15/100 = 0.15
n = number of times interest is compounded per unit t = 12
<u>How much she'll owe in 4 years</u>
P = 300
r = 0.15
n = 12
t = 4

= $544.61 (to the nearest cent)
<u>Yearly compounding interest rate</u>

<u>How much she'll owe in 4 years at yearly compounding interest</u>

= $524.70 (to the nearest cent)
Answer:
x = 4
Step-by-step explanation:
1.3x - 10 = 0.8x - 8
Add 10 to both sides.
1.3x = 0.8x + 2
Subtract 0.8x from both sides.
0.5x = 2
Divide by 0.5.
x = 4.
Proof:
1.3x - 10 = 0.8x - 8
1.3(4) - 10 = 0.8(4) - 8
5.2 - 10 = 3.2 - 8
-4.8 = -4.8