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2 years ago

7

A catering service offers 6 apps, 11 main, and 4 desserts. A person is to select 4 app, 9 main, and 2 desserts. In how many ways

can this be done?

1 answer:

adoni [48]2 years ago

7 0

Read it all in this pic

Hope this helps

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How long does it take a 2700 dollar investment compounded monthly at 9% to make 500 dollars

valina [46]

Answer:

23 months

Also please note that it's everytime ^t/12 not (^t)/12

Step-by-step explanation:

Principal (P) = $2700

rate = 9%

t = ?

Amount = $P(1+\frac{r}{100} )^(t/12)$

Amount = 2700 +500 = $3200

So substituting all our values we get :

$3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700} =1.09^(t/12)$

So we use log to solve for t :

$t/12=log_{1.09} (\frac{3200}{2700})\\$

Solving this using a calculator we get:

1.9714966193*12

=23 months

7 0

3 years ago

Solve the equation without the use of a calculator. please Help!!! Thank you!!!<br> 12x^3-30x=5-2x^2

nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

$12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0$

Now that we've factored our equation, we can use ZPP and break it up:

$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$

So, our solutions are:

$x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}$

4 0

3 years ago

Help me pleaseeeeeeeeeeeeee

gavmur [86]

Answer:

68/35 hope this helps

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which inequality represents the phrase "paid more than $2.00"?

Nastasia [14]

Is greater than or equal to $.00

6 0

2 years ago

The equation of a circle is given below.<br> What is its center?

svp [43]

Answer:

$( \frac{2}{3}, 0)$

Step-by-step explanation:

The general equation for a circle is

${(x - a) }^{2} + {(y - b) }^{2} = {r}^{2}$

Where a and b are the x and y values of the centre. So comparing to your equation you can see that a is 2/3 and b is 0

6 0

3 years ago