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4 years ago

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:

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