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neonofarm [45]
3 years ago
11

Simplify. -11 - (-42)

Mathematics
1 answer:
ozzi3 years ago
6 0
Marcus made a mistake in Step 2. 5/2.5 is 2 not 3.

-11 -(-42) A double negative makes a positive

-11 + 42

31
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Please check the attachment.
inna [77]
(4,6), (6,8), (8,10)

6 0
3 years ago
Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1,5).
lisov135 [29]

Answer:

Step-by-step explanation:

y=a(x-0)(x-2)

=a(x^2-2x)

=a(x^2-2x+1-1)

or y=a(x-1)^2-a

(1,5) lies on it.

5=a(1-1)^2-a

5=0-a

or a=-5

so y=-5(x-1)^2+5

8 0
3 years ago
How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160
Marina CMI [18]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}

\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n
3 0
3 years ago
Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after
Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

Amount = P (1+\frac{r}{4})^{4t}

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

= \frac{5}{100}

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

Amount = 6000(1+\frac{0.05}{4})^{4\times 3}

Amount = 6000(1+0.0125)^{12}

Amount = 6000\times 1.16075452

Amount =\$ 6964.53\ (Approx)

Therefore the amount becomes $6964.53 after 3 years .


3 0
3 years ago
If ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)}, then the range of ƒ is {(1, 5),(2, 6),(3, 7),(1, 8),(7, 9)} {1, 2, 3, 7} {5, 6, 7, 8,
julsineya [31]
You need to just rewrite this
6 0
2 years ago
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