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Dominik [7]
2 years ago
10

If the simple interest on ​$4000 for 3 years is ​$720​, then what is the interest​ rate?

Mathematics
1 answer:
solong [7]2 years ago
4 0

Answer:

0.06% annually

Step-by-step explanation:

Divide $720 by 3. We get $240, so we know this is the amount of interest we get per year. Dividing $240 by $4,000 gives us

\frac{240}{4000} = 0.06

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Step-by-step explanation:

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3 years ago
The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje
algol13

Answer: 116\text{ joules}


Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression \frac{1}{2}mv^2 , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball=\frac{1}{2}(0.145)(40)^2

\frac{1}{2}(0.145)(1600)=116\text{ joules}

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3 years ago
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If f(x) = 7x − 1, what does f(12) represent?
Rasek [7]
Hello : 
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3 years ago
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Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi
vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx

(a) For Trapezoidal Rule : Composite error is,

E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)||

\leq \frac{4(-3-3)^3}{12n^2}

=\frac{72}{n^2}

According to the question, we must choose n such that,

\frac{72}{n^2}

\implies n>424.2640686

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)

where, f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|

In this problem f^{(iv)}(x)=0, so that,

|E_S|\leq 0

that is there exist no error. So n=0.

6 0
3 years ago
The table below shows the amount of nuts for a certain number of servings of trail mix.
AveGali [126]

Answer:6:16

Step-by-step explanation:

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