Answer:
{48, 64, 81}
Step-by-step explanation:
1). $2,700 is (2,700/6,000) = 45% of 6,000.
It took 6 years to earn it, so it earned (45%/6) = 7.5% each year.
That's the simple-interest rate.
_________________________________
2). The investment earns 4.5% each year, so it earned 9% in 2 years.
The $1,150.65 is the 9% of the original investment. Call it V.
1150.65 = 0.09 x V .
Divide each side by 0.09 :
V = 1150.65 / 0.09 = $12,785 .
____________________________________
3). There are 18 marbles in the bag all together.
a). 8 of them are green. If you close your eyes and pull out 1 marble,
the probability that it's a green one is
8/18 = 4/9 = 44.4% .
b). If it was a red marble, and you put it in your pocket, then
there are only 17 in the bag now, and 8 of them are still green.
If you pull another one, the probability that it's green is
8/17 = 47.1% .
____________________________________
5). There are 10 marbles in the bag all together.
(The second sentence doesn't say anything, and doesn't mean anything.)
If you pull out a silver marble and put it in your pocket, then
there are 9 marbles in the bag, and 2 of them are orange.
The probability of pulling an orange marble now is
2/9 = 22.2% .
Answer:
Step-by-step explanation:
we will use distributive property to write an equivalent expression:
7(-2x)+7(6)
<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:
let X = retail price.
X - 0.30 </span>× X = Y ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z ⇒ second discounted price.
<span>
Z - 0.15*Z = T </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z = (1 - 0.15) × Z = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount
= 0.85 </span>× 0.75 × 0.70 × X
= 0.44625X<span>
30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
8 / x = 12 - 3(8)
8 / x = 12 -24
8 / x = -12
x = -0.66666666667
Check your work
8 /(-0.66666666667) = 12- 3(8)
-12 = 12 - 3(8)
-12 = -12
x = -0.66666666667 Exactaly (Ten 6's One 7)
Hope this helps :)
