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4 years ago

Need help with this assoon as possible

Mathematics

2 answers:

mrs_skeptik [129]4 years ago

4 0

It's asking for the rate of change, which is the 10
so I think that means that a plain pizza costs $10

Ierofanga [76]4 years ago

4 0

C is the answer number of topping cost2$ each

and rate of change will be d=2t+10
if t=1 then d=12,
t=2 d=14
t=3 d=16

rate of change is change in d/change in t
2

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The sum of two numbers is 14. When one number is added to twice the other number, the result is 25. Find the numbers

ELEN [110]

Let x and y be the two numbers. We have:

$\begin{cases}x+y=14\\x+2y=25\end{cases}$

Subtract the first equation from the second to get

$y=11$

And deduce

$x+11=14 \iff x=3$

The two numbers are 3 and 11.

5 0

3 years ago

What value of t makes P(t) = 21?<br> A. 1<br> B. 2<br> C. 3<br> D. 4

Ksju [112]

I don't understand the question, but I did get this:
$t=21/P$
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5 0

3 years ago

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$