For the place values that occur to the right of the decimal point, each place value is ten times ____ than the place value to its left a.exponential
b.fractional
c.smaller
d.larger

Answers

Answer 1
Answer: In the question "for the place values that occur to the right of the decimal point, each place value is ten times ____ than the place value to its left" The correct answer is smaller because in the place value system, the place values to the left of the decimal point decreases by a factor of ten for every number to the right. Thus, each new number is ten times smaller than the number to its left.
Answer 2
Answer:

The answer is smaller, and the other options: exponential, fractional, and larger, are wrong. Reason is because the place value on the right side of the decimal area is ALWAYS going to be larger than when the place value is to the right of the decimal.

Hope this helped!

Nate


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Evaluate the integral: \[\int\limits_{}^{}ye ^{0.2y}dy\]
The problem we are having is the antiderivative of
\[e ^{0.2y}.\] We decided to split the problem into:
u = y
\[uv = e^{0.2y}\]
We just aren't sure where to go from here. Help?

Answers

\int\limits_{}^{}ye ^(0.2y)dy\n\nu=y,du=dy\ndv=e ^{(y)/(5)}dy,v=\int\limits_{}^{}e ^{ (y)/(5) }dy=5e ^{ (y)/(5) }\n\n \int\limits_{}^{}ye ^{(y)/(5) }}dy=uv- \int\limits {v} \, du=y 5e ^{ (y)/(5) }-\int\limits {5e ^{ (y)/(5) }} \, dy= 5ye ^{ (y)/(5) }-25e ^{ (y)/(5) }=5e ^{ (y)/(5) }(y-5)

Subtract 5-3 1/3 fraction

Answers

5 = 15/3

3 1/3 = 10/3

15/3 - 10/3 = 5/3

so 5-3 1/3 is either 5/3 or 1 2/3.

2y = x + 3 5y = x - 7 What is the solution set of the given system? {(-1/3, -4/3)} {(1/3, 4/3)} {(-29/3, -10/3)} {(29/3, 10/3)}

Answers

I hope it cleared your doubt.

The answer for this question is option C.


8 is what percent of 16

Answers

8 is...... 50% of 16.
Eight is fifty percent of sixteen

When Frederick was born, his grandparents gave him a gift of 2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have when he collects the money at the age of 18? Give your answer to the nearest hundredth of a dollar.

Answers

Answer:

Frederick collects the an amount of $4813.24 at the age of 18 out of which $2000 was the beginning amount.

Step-by-step explanation:

We are given the following information in the question:

Amount = 2000

Interest rate = 5%

The money is compounded annually or yearly.

Time = 18 years

Compound interest =

A = P\bigg(1+\displaystyle(r)/(n)\bigg)^(nt)

where P is the principal amount, r is the interest rate, t is the time in years and n is the number of compounding in a year.

Since, the money is compounded yearly we put n = 1.

Putting all the values, we get,

A = P\bigg(1+\displaystyle(r)/(n)\bigg)^(nt)\n\nA = 2000\bigg(1+(5)/(100)\bigg)^(18)\n\nA = 4813.24\n\n\text{Interest, I} = \text{Amount - Principal} = A - P\n\nI = 4813.24 - 2000 = 2813.24

Thus, Frederick collects the an amount of $4813.24 at the age of 18 out of which $2000 was the beginning amount.

Answer:

$4813.24

Step-by-step explanation:

Five percent growth corresponds to multiplication by 1+5%=1.05. So, the amount of money Frederick will have in 18 years is 2000(1+.05)^18= $4813.24

0.135 written as a fraction is _____.
5/37
27/100
27/200

Answers

0.315 is the written as a fraction.
convert to fraction
=> 0.315 / 1000
=> 315 / 1000
=> 63 / 200
Thus in the given choices, the answer is not in there.