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iogann1982 [59]

3 years ago

8

Write a formula that describes the value of an initial investment of $1200, growing at an interest rate of 4%, compounded monthl

y

1 answer:

Flauer [41]3 years ago

4 0

Answer:

f(x)=1200(1.04)^n

Step-by-step explanation:

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What would be the equation for #23???

Rufina [12.5K]

Hi there!

Let r be the number of matches that Rebecca's team won.

We know that Katheryn's team won 9 more matches than Rebecca's team, and we know that Katheryn's team won 52 matches.

Using this given information, we can create the following equation.

$r+9=52$

If you wish to solve this, we can subtract both sides by 9 to get the following value for r.

$r=43$

Have an awesome day! :)

~collinjun0827, Junior Moderator

8 0

3 years ago

Read 2 more answers

natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

$\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.$

b) In matrix form this is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)$

c) The determinant is

$\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16$

d) Find three determinants:

$\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608$

$\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368$

$\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304$

So,

$x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19$

e) If the store doubled all prices and inventory, then the new matrix is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)$

7 0

3 years ago

One condition for performing a hypothesis test is that the observations are independent. Marta is going to take a sample from a

AleksandrR [38]

Answer:

The correct answer to the following question will be "60 students".

Step-by-step explanation:

Marta will be taking a sampling frame from some kind of 600 student group.

Mean,

N = 60

Although the sampling method could perhaps consist of the following components 10% of the population,

⇒ $600\times 10 \ percent$

⇒ $60$

In order to view these findings as autonomous, 60 students would then have to analyze Marta lacking replacements.

6 0

3 years ago

13. Show that 500 is not a prefect square

avanturin [10]

Answer:

when we take the square root of 500 we get number with decimal value so its not a perfect square

Step-by-step explanation:

x^2=500

x=square root of 500

3 0

3 years ago

Help help help help help help

Rzqust [24]

I’m pretty sure it’s A sorry if I’m wrong

8 0

3 years ago

Read 2 more answers