Answer:
420
Step-by-step explanation:
Amount in the 45% solution + amount in the 70% solution = amount in the 45% solution
0.15 × 350 + 0.70 × V = 0.45 × (350 + V)
52.5 + 0.70V = 157.5 + 0.45V
0.25V = 105
V = 420
You need 420 mL of the 70% solution.
Answer:
The answer is 16
Step-by-step explanation:
Multiply -3 by 2
(10-6)^2 ^2=power
subtract 6 from 10
4^2
Raise 4 to the power of 2
16
.
Tavius would earn his best value if he invests in a three-year certificate of deposit with a nominal interest rate of 4 percent.
Tavius would invest in the option that yields the highest interest. This is the best value. In order to determine which option is the best, the interest rate of each option has to be determined.
<em><u>Interest rate of the first option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 2 = $150
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<em><u>Interest rate of the second option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 1 = $75
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<em><u>Interest rate of the third option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.04 x 3 = $300
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<em><u>Interest rate of the fourth option</u></em>
FV = P x (1 + r) n
$2500 x (1.03) = $75
A similar question was answered here: brainly.com/question/24748787?referrer=searchResults
Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
Answer: No, it’s rational number
