Why is is important to convert rates to the same units before comparing them?
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Related Questions
Which of the following represents the zeros of f(x) = 3x^3 − 10x^2 − 81x + 28?A) 7, -4, 1/3 B) 7, -4, -1/3 C) 7, 4, 1/3 D) 7, 4, -1/3
A plant can either have a smooth seed (p) or a rough seed (q). Rough seeds are recessive and smooth seeds are dominant. In a population of 100 plants, 32 of them have rough seeds.p^2 + 2pq + q^2 = 1 a) What is q^2? b) What is q? c) What is p? d) If there are 19 plants with rough seeds in a population of 100, what is the allele frequency for smooth seeds?
A line passes through (1,1) , (-2,4) , and (6,n) . Find the value of n.
What is the tenth term of the geometric sequence 3, 6, 12, 24, 48, … ?
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Answer:
Option 4 is correct
Step-by-step explanation:
The complete question is as follows:
Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually, she:
1.Will have enough money
2.Will have exactly $16,000
3.Will have $18,000
4.Will have $16,126.80
5.None of these
Solution:-
- The plan is to buy a new Hummer that costs C = $28,000 in t = 5 years.
- She invests P = $12,000 now at an interest rate i = 6% compounded semi-annually.
- We will calculate the amount of money, (compound interest formula), that Gracie has at the end of 5 years:
A = P*( 1 + i )^n
- Where, A : Amount after n periods.
n : Compounding period in years.
- The compounding period (n) is denoted as the number of time the interest in compounded over the time period t. Since the interest is compounded semi-annually then the compounding period would be:
n = t* ( 2 periods / year )
n = 5*2 = 10 periods.
- Now use the above "compounded interest" formula for i to be distributed for the whole year i.e half of 6%:
A = (12,000)*( 1 + 6/200)^10
A = 12,000*(1.03)^10
A = $16126.99
Given that the estimated cost of the Hummer is $28,000, and that she invests $12,000 with a 6% rate compounded semiannually. Semiannually, that would be twice a year, so it is the rate every 6 months. Let's get the 6% of $12,000 and it would be $720. Therefore, she will pay a total of $13,440 in a year. Hope this answer helps.
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you when you put a negative inside the square root signs, it is complex and undifined
find which values you can use
x+3
what values make it 0? (the boundary between negative and possivie)
x+3=0
x=-3
has to be more than or equal to 0 (because √0=0)
x>-3
2nd one
1-x=0
1-x>0
add x both sides
1>x
so
x>-3 and 1>x
1>x and x>-3
1>x>-3
-3<x<1
B is answer
circular mural on one wall of the
community center. The area of the
mural is 66 square meters.
what is the radius?
remember,a=pie r^2,use pie=22/7
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Answer:
4.583 meters
Step-by-step explanation:
Divide 66 by pi
=21.01910828
I rounded to 21
Find the square root of 21
4.58257569...
I rounded again, to 3 decimal places
4.583
Hope it helps!
Answer:
√21 akasquare root of 21
Step-by-step explanation:
The person above pretty much explained it lol
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4/3 is an improper fraction.
How many times can 4 go into 3?
once, so the whole number is 1.
4-3 = 1
1 remainder, so 1 is the numerator.
1 1/3
Final answer: 1 1/3
The final answer is 1 1/3~
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Answer:
The simplified form is
Step-by-step explanation:
The goal of the exercise is to apply exponent properties. On this case we need to distribute the exponent to each expression of the fraction, that is to the numerator and to the denominator, using the distribution exponent property.
In a general way we can always distribute exponents over multiplication or division.
Simplifying using exponent distribution property.
Applying the property to the exercise give us
Lastly we know that so we get
And that is the simplified form of the given expression.