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Hitman42 [59]
4 years ago
9

HELP ME ASAP WILL GIVE 5 STARS AND A THANKS

Mathematics
2 answers:
TEA [102]4 years ago
6 0

Answer:

The mayor will lose by a large percentage.

Svetllana [295]4 years ago
6 0

Answer:

D??

Step-by-step explanation:

It may be D or A I’m not sure!!

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What is the ratio of 7 :21 in their simplest form​
Anon25 [30]

divide both sides by 7

>>>>>> 1 : 3

8 0
3 years ago
How to solve 5 + 5 x 5 -5 ÷ 5
balandron [24]

Answer:

25? to be honest i really dont know :/

Step-by-step explanation:

um pemdas says 5x5 is 25 so 5+(25)-5/5 then you do -5/5 is -1 and thats 5+(25)-5 then you add 5 to 25 and thats 30 and minus 5 is 25

7 0
3 years ago
Read 2 more answers
Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t),[0, π/2].
castortr0y [4]

Answer:

The absolute maximum is \frac{3\sqrt 3}2 and the absolute minimum value is 0.

Step-by-step explanation:

Differentiate of f both sides w.r.t.  t,

f(t)=2 \cos t+\sin 2t

\Rightarrow f'(t)=-2\sin t+2\cos 2t

Now take f'(t)=0

\Rightarrow -2\sin t+2\cos 2t=0

\Rightarrow 2\cos 2t=2\sin t

\Rightarrow \cos 2t=\sin t

\Rightarrow 1-2\sin ^2t =\sin t  \quad \quad  [\because \cos 2t = 1-2\sin ^2t]

\Rightarrow 2\sin ^2t+\sin t-1=0

\Rightarrow 2\sin ^2t+2\sin t-\sin t-1=0

\Rightarrow 2\sin t(\sin t+1)-1(\sin t+1)=0

\Rightarrow (\sin t+1)(2\sin t-1)=0

\Rightarrow \sin t+1=0  \;\text{and}\; 2\sin t-1=0

\Rightarrow \sin t =-1  \;\text{and}\;   \sin t =\frac 12

In the interval 0\leq t\leq \frac {\pi}2, the answer to this problem is \frac {\pi}6

Now find the second derivative of f(t) w.r.t.   t,

f''(t)=-2\cos t-4\sin 2t

\Rightarrow \left[f''(t)\right]_{t=\frac {\pi}6}=-2\times \frac {\sqrt 3}2-4\times \frac{\sqrt 3}2=-3\sqrt 3

Thus, f(t) is maximum at t=\frac {\pi}6 and minimum at t=0

\left[f(t)\right]_{t=\frac {\pi}6}=2\times \frac {\sqrt 3}2+\frac{\sqrt 3}2=\frac{3\sqrt 3}2\;\text{and}\;\left[f(t)\right]_{t=\frac{\pi}2}= 2\times 0+0=0

Hence, the absolute maximum is \frac{3\sqrt 3}2 and the absolute minimum value is 0.

7 0
3 years ago
The principal "P" is borrowed and the​ loan's future value "A" at time "t" is given. Determine the​ loan's simple interest rate
Sever21 [200]
Now.... "t" is in years, 3months off 12 months is 3/12 years

\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$2525\\
P=\textit{original amount deposited}\to& \$2500\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to \frac{3}{12}\to &\frac{1}{4}
\end{cases}

\bf 2525=2500\left(1+r\cdot \frac{1}{4} \right)\implies \cfrac{2525}{2500}=1+\cfrac{1}{4}r\implies \cfrac{101}{100}=1+\cfrac{r}{4}
\\\\\\
\cfrac{101}{100}-1=\cfrac{r}{4}\implies \cfrac{1}{100}=\cfrac{r}{4}\implies \cfrac{4}{100}=r\implies 0.04=r
\\\\\\
\textit{to convert to percentage format}\implies 0.04\cdot 100\implies 4\%
8 0
3 years ago
Tanner has 80$ in an savings account. The interest rate is 10% and is not compounded. How much interest will he earn in 1 year?
Verizon [17]

Answer:

$8

Step-by-step explanation:

The formula for simple interest is i = p*r*t, where r is the interest rate as a decimal fraction.

Here, i = $80*0.10*1 = $8

4 0
3 years ago
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