Answer:
According to the given problems the one that gets closer is the first option. ^12sqrt27/2
Step-by-step explanation:
<em>Simplify the radical by breaking the radicand up into a product of known factors.</em>
The answer for the first question is 12
√
27
/ 2
The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
Take antilog, then we have
Then the value of the x is 2 and 4.
More about the factorization link is given below.
brainly.com/question/6810544
Answer: 10350
Step-by-step explanation:
Amount invested = Principal = 180,000
Interest rate = 5.75%
Time = 1 year
The interest that is earned at the end of the first year will be:
= PRT
= 180,000 × 5.75% × 1
= 180,000 × 0.0575 × 1
= 10350
Answer:
$18.96
Step-by-step explanation:
Now the mechanics earn $14.2 per hour, which is 25.1% less than before.
If we say that the earnings before were 100% (to facilitate our calculation and understand better), now the earrings are (100-25.1)%=74.9%. This is, now they make the 74.9% of what they used to made.
So:
74.9% = 14.2
Let's multiply both sides by 100%/74.9% to make a 100% appear at the left side (see that multiply and divide by 74.9 will make it desapear):
74.9% *(100%/74.9%) = 14.2 * (100%/74.9%)
100% = 14.2 * (100%/74.9%)
And (100%/74.9%) is equal to 1/0.749, they are the same. So:
100% = 14.2 * 1/0.749
100% = 18.96
So, before the new manager they used to make $18.96. (you can verify by multiplying it by 74.9% and the result is 14.2)
Answer:
1
Step-by-step explanation:
Given:
<u>Substitute the values into the expression:</u>
1/2(m - 4) × n
⇒ 1/2(12 - 4) × 1/4
<u>Simplify the expression:</u>
⇒ 1/2(8) × 1/4
⇒ 4 × 1/4
⇒ 4 ÷ 4
⇒ 1 (Option B)
