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2 years ago

Use the simple interest formula to find the interest earned and the ending balance. I = Prt

Mathematics

2 answers:

Katena32 [7]2 years ago

7 0

Answer:

$72.90 is the interest earned

Step-by-step explanation:

The appropriate formula is i = prt, where r is the annual interest rate expressed as a decimal fraction.

Here, i = ($270)(0.09)(3 yr) = $72.90 is the interest earned

Airida [17]2 years ago

5 0

Answer:

Step-by-step explanation:

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For the cost function c equals 0.1 q squared plus 2.1 q plus 8, how fast does c change with respect to q when q equals 11? Det

Soloha48 [4]

Answer:

Rate of change of c with respect to q is 4.3

Percentage rate of change c with respect to q is 9.95%

Step-by-step explanation:

Cost function is given as, $c=0.1\:q^{2}+2.1\:q+8$

Given that c changes with respect to q that is, $\dfrac{dc}{dq}$ . So differentiating given function,

$\dfrac{dc}{dq}=\dfrac{d}{dq}\left (0.1\:q^{2}+2.1\:q+8 \right)$

Applying sum rule of derivative,

$\dfrac{dc}{dq}=\dfrac{d}{dq}\left(0.1\:q^{2}\right)+\dfrac{d}{dq}\left(2.1\:q\right)+\dfrac{d}{dq}\left(8\right)$

Applying power rule and constant rule of derivative,

$\dfrac{dc}{dt}=0.1\left(2\:q^{2-1}\right)+2.1\left(1\right)+0$

$\dfrac{dc}{dt}=0.1\left(2\:q\right)+2.1$

$\dfrac{dc}{dt}=0.2\left(q\right)+2.1$

Substituting the value of $q=11$ ,

$\dfrac{dc}{dt}=0.2\left(11\right)+21.$

$\dfrac{dc}{dt}=2.2+2.1$

$\dfrac{dc}{dt}=4.3$

Rate of change of c with respect to q is 4.3

Formula for percentage rate of change is given as,

$Percentage\:rate\:of\:change=\dfrac{Q'\left(x\right)}{Q\left(x\right)}\times 100$

Rewriting in terms of cost C,

$Percentage\:rate\:of\:change=\dfrac{C'\left(q\right)}{C\left(q\right)}\times 100$

Calculating value of $C\left(q \right)$

$C\left(q\right)=0.1\:q^{2}+2.1\:q+8$

Substituting the value of $q=11$ ,

$C\left(q\right)=0.1\left(11\right)^{2}+2.1\left(11\right)+8$

$C\left(q\right)=0.1\left(121\right)+23.1+8$

$C\left(q\right)=12.1+23.1+8$

$C\left(q\right)=43.2$

Now using the formula for percentage,

$Percentage\:rate\:of\:change=\dfrac{4.3}{43.2}\times 100$

$Percentage\:rate\:of\:change=0.0995\times 100$

$Percentage\:rate\:of\:change=9.95%$

Percentage rate of change of c with respect to q is 9.95%

7 0

2 years ago

If v varies directly as w and v=8, when w=1/2, find the equation that relates v and w

hammer [34]

Answer:

v=16w

Step-by-step explanation:

v=16w

8=16(1/2)

8=8✔

5 0

2 years ago

A researcher is curious about the average IQ of registered voters in the state of FL. The entire group of registered voters in F

elixir [45]

Answer:

Option C) population

Step-by-step explanation:

We are given the following situation in the question:

A researcher is curious about the average IQ of registered voters in the state of FL.

Sample:

It is a part of a population. It is always smaller than the population.

Statistic:

Any numerical value or any other measure describing a sample of a population is known as statistic.

Population:

It is the universal data set. Every observation belongs to this group which is of interest. Sampling is done within population to obtain small groups of sample.

Parameter:

Any numerical value or any other measure describing the population is known as a parameter.

In this situation, the entire group of registered voters in FL is an example of a population because it contains all the individual for variable of interest.

Variable of interest:

Average IQ of registered voters in the state of FL.

Individual of interest:

Registered voters in the state of FL.

4 0

3 years ago

If BC = 4 and CD = 27, find AC.

lys-0071 [83]

Answer is 4 because there are both length plus breadth

3 0

3 years ago

Christopher uses 2/3 cup of ice cream to make a root beer float, Sean uses 7/12 cup of ice cream, and Jennifer uses 5/8 cup of i

Deffense [45]

Answer: It could be B.

Step-by-step explanation:

4 0

3 years ago