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3 years ago

Solve for x. 3^2x= 15 (Type an integer or decimal rounded to the nearest tenth as needed.)

Mathematics

1 answer:

Lena [83]3 years ago

8 0

Let's solve your equation step-by-step.

(3^2)(x)=15

Step 1: Simplify both sides of the equation.

9x=15

Step 2: Divide both sides by 9.

9x/9=15/9

x=5/3

Answer:

x=5/3

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A/20 + 14/15 = 9/15 <br><br> Can i get some help?

KiRa [710]

Method 1:

$\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}$

Method 2.

$\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}$

3 0

3 years ago

A stock has had returns of 7 percent, 25 percent, 17 percent, −13 percent, 25 percent, and −6 percent over the last six years. W

Tems11 [23]

Answer: Geometric average return would be 0.10% and arithmetic average return would be 9.17%.

Step-by-step explanation:

Since we have given that

Returns are as follows:

7%, 25%, 175, -13%, 25% and -6%.

Geometric return is given by

$\sqrt[6]{(1+0.07)(1+0.25)(1+0.17)(1-0.13)(1+0.25)(1-0.06)}-1\\\\=\sqrt[6]{(1.17)(1.25)(1.17)(0.87)(1.25)(0.94)}-1\\\\=0.097\%=0.10\%$

Arithmetic average return would be

$\dfrac{7+25+17-13+25-6}{6}=9.17\%$

Hence, geometric average return would be 0.10% and arithmetic average return would be 9.17%.

7 0

3 years ago

Make an equation for the line v=(6,6) is perpendicular to y=-2/3x-11

natali 33 [55]

Answer:

y=-2/3x+10

Step-by-step explanation:

y=2/3x-11

plug in plot and remove intercept

6=-2/3(6)+b

6=-4+b

10=b

y=-2/3x+10

5 0

2 years ago

Find the total surface area of a cuboid 7.5cm 2.3cm 5cm

zavuch27 [327]

Answer:

17.25

Step-by-step explanation:

im not sure with the answer without a photo.formula to find area is LENGTH×WIDTH so there u can find it

6 0

3 years ago

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Ruben and Tariq have 245.5 downloaded minutes of

Strike441 [17]

Answer:

113.5

Step-by-step explanation:

R+T= 245.5

R=132

245.5-R=T

245.5-132=113.5

T=113.5

8 0

3 years ago

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