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matrenka [14]
3 years ago
9

Jenna’s rent is increasing from $650 per month to $700 per month the percent increase in her rent is closest to which of the fol

lowing
1)6.5%
2)6.8%
3)7.1%
4)7.7%
Please explain
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer: 7.6

Step-by-step explanation:

1) Subtract the big number by the small number

2) Divide answer by the small number

3) Multiply answer by 100

4) You get 7.692307693

Count one place to the right and get 7.6

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If the each side of equalaterial triangle is a cm. what is the area?​
Yuri [45]

Step-by-step explanation:

area \: of \: a \: triangle =  \frac{1}{2}  \times base \times height \\  \\ base =  \frac{a}{2} cm \\  {h}^{2}  +   {( \frac{a}{2} )}^{2}  =  {a}^{2}  \\  \\ h =  \sqrt{ {a}^{2} -  \frac{ {a}^{2} }{4}  }  \\  \\ area \: of \: triangle =  \frac{1}{2}  \times b \times h \\  =  \frac{1}{2}  \times  \frac{a}{2}  \times  \sqrt{ {a}^{2}  -  \frac{ {a}^{2} }{4} }  \\  \\  =  \frac{a}{4}  \times  \sqrt{ {a}^{2} -  \frac{ {a}^{2} }{4}  }

5 0
2 years ago
In the figure AB =6cm, triangle AOB =60°
viva [34]

Answer:

From the basics of algebra,

a triangle subtended to the center of a circle from the circumference is always isosceles

since the Central angle is 60 and the triangle is isosceles, the other angles are,

\frac{180 - 60}{2}  = 60

meaning that the triangle is equilateral.

all the other angles are 60.

the radius of the circle is the length of the triangles side,

ie 6cm

6 0
2 years ago
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location,
atroni [7]

Step-by-step explanation:

6 customers per hour =1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad (given mean)

Pdf is given by: f(x)=\frac{1}{\beta} e^{-x / \beta}, 0

Pdf: f(x)=\frac{1}{10} e^{-x / 10}, \quad 0

P(X \leq x)=1-e^{(-x / 10)} \quad for x>0 \Longrightarrow P(X>x)=e^{-x / 10}

a)
\begin{array}{c}
P(X

\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

6 0
3 years ago
What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters. 32 cm2 65 cm
Svetllana [295]

Answer:

70 cm2

Step-by-step explanation:

3 0
3 years ago
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Mrs. Jones bought 250 apples for $22 500. She sold 50 for $120 each, and the remain
sergey [27]
I say the answer is A
3 0
3 years ago
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