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3 years ago

Fannie has a life insurance policy that will pay her family $24,000 per year if

Mathematics

2 answers:

gregori [183]3 years ago

5 0

Answer:

The rate is 2% per year.

Step-by-step explanation:

It is given that sum to be $1200000.

The interest per year to be received is $24000.

Let the rate of interest be "r".

The amount interest is given by the formula,

$(Interest) = (Principle amount)(\frac{Rate}{100})(Time)$

$24000 = (1200000)(\frac{r}{100})(1)$

$r = \frac{24000}{12000} = 2$

Thus the rate of interest is given by 2% per year.

Julli [10]3 years ago

5 0

Answer:

Step-by-step explanation:

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Solve the equation below:

oee [108]

Remember the chain rule.
L(x)=f(g(x))

L'(x)=f'(g(x))g'(x)

take the derivative of f(g(x)). just treat them like they are variables. so you get:

h'=f'(g(x))g'(x)

now plug in your x value and evaluate:

h'(1)=f'(g(1))(g'(1))

substitute in values that you know and evaluate again
h'(1)=f'(3)(-3)

h'(1)=(-5)(-3)=15

3 0

3 years ago

A sneaker company can make 50 pairs of sneakers for every 6 yards of material. Make a table to show the relation between materia

Law Incorporation [45]

A sneaker company can make 50 pairs of sneakers for every 6 yards of material.

Then in each case you can consider proportion.

1. 50 pairs -- 6 yards,

80 pairs -- x yards.

Mathematically,

$\dfrac{50}{80}=\dfrac{6}{x},\\ \\x=\dfrac{80\cdot 6}{50}=9.6\ yards.$

2. 50 pairs -- 6 yards,

100 pairs -- x yards.

Mathematically,

$\dfrac{50}{100}=\dfrac{6}{x},\\ \\x=\dfrac{100\cdot 6}{50}=12\ yards.$

3. 50 pairs -- 6 yards,

120 pairs -- x yards.

Mathematically,

$\dfrac{50}{120}=\dfrac{6}{x},\\ \\x=\dfrac{120\cdot 6}{50}=14.4\ yards.$

4. 50 pairs -- 6 yards,

140 pairs -- x yards.

Mathematically,

$\dfrac{50}{140}=\dfrac{6}{x},\\ \\x=\dfrac{140\cdot 6}{50}=16.8\ yards.$

Thus, the table is

$\begin{array}{cc}\text{Pairs}&\text{Yards}\\50&6\\80&9.6\\100&12\\120&14.4\\140&16.8\end{array}$

The domain of the relation is the set $\{50,80,100,120,140\}$ and the range of the relation is $\{6,9.6,12,14.4,16.8\}.$ See attached diagram for the graph of the relation.

4 0

3 years ago

I need to know the answer to part A and B

Viefleur [7K]

Sorry I cannot help you I do not know the answer

7 0

3 years ago

Question 3 (Multiple Choice Worth 1 points)

Evgen [1.6K]

Answer:

$g(x) = x + 6$

Step-by-step explanation:

The parent function is given as:

$f(x) = x + 8$

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

$g(x) = f(x - 2)$

We replace x by x-2 in f(x) to get:

$g(x) = x - 2 + 8$

When we simplify, we obtain:

$g(x) = x + 6$

8 0

3 years ago

Convert 30,000 ML into L

lakkis [162]

Answer:

30 liters

Step-by-step explanation:

To me it's kind of like multiplying and dividing.

So, what I did was 30,000 divided by 30 and got 1,000.

1,000 x 30 = 30,000.

That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)

6 0

2 years ago