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2 years ago

10

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawls we

re made , how much money , to the nearest hundred dollars , would be on the account after 18 years

1 answer:

boyakko [2]2 years ago

4 0

Answer:

The amount is $418.35 and the interest is $98.35

Step-by-step explanation:

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Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us

Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

$P(x) = 5000000- 20000x - 200000x + 2000x^2$

$P(x) = 5000000-220000x + 2000x^2$

<u>Material 2</u>

$P(x) = 4000000 - 10000x - 160000x+ 1000x^2$

$P(x) = 4000000-170000x+ 1000x^2$

<u>Material 3</u>

$P(x) = 2000000 - 5000x - 54000x - 270x^2$

$P(x) = 2000000 -59000x - 270x^2$

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(151) = 4000000-170000 * 151+ 1000* 151^2$

$P(151) = 1131000$

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(49) = 5000000-220000 * 49 + 2000* 49^2$

$P(49) =-978000$

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using $P(x) = 2000000 -59000x - 270x^2$

So, we have:

$P(45) = 2000000 -59000 * 45 - 270 * 45^2$

$P(45) = -1201750$

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(30) = 4000000-170000*30+ 1000*30^2$

$P(30) = -200000$

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(40) = 5000000-220000*40 + 2000*40^2$

$P(40) = -600000$

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

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2 years ago

If a figure is a square then is it a regular quadrilateral true or false explain

miskamm [114]

I believe so. (TRUE). a square has all equal sides so if the figure is just alike, its a reg quad.

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3 years ago

write the numeral that means the same as "three hundred fifty-two billion, six hundred thirty- five million"

sammy [17]

Answer:

352,635,000

Step-by-step explanation:

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3 years ago

Below are the supply and demand equations for umbrellas in a certain market. in these equations, p represents price, d represent

timurjin [86]

The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of the demand (D) and supply (S) is given below.

$\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36$

Where p is price.

At equilibrium, we have

D = S

Then

$\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}$

More about the linear system link is given below.

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1 year ago

4. Sale of Mathematics and English books in the year 2005, 2006, 2007 and 2008 are given below : Years Mathematics English 2005

Semenov [28]

Step-by-step explanation:

2008because there is no difference between the number of sold notebooks

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2 years ago