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olga_2 [115]
3 years ago
10

Please help me out with this problem ​

Mathematics
1 answer:
Nataly [62]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

Change the right side so that it is in base 3 notation:

3^(3x - 2) = 81 = 3^4

Now both sides have the same base, we can now solve the following:

3x - 2 = 4 ---> x = 2

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what is the measure of the central angle of a circle with a radius 24 ft that intercepts at 10 ft arc? use 3.14 as pie​
Brrunno [24]

Answer:

central angle =23.88°

Step-by-step explanation:

Given:Arc length =10ft

           radius= 24ft

To find : central angle

Formula: Arc length = 2πr.\frac{\theta}{360}°

                ⇒{\theta} = \frac{arc length.360}{2{\pi}{r}}

               ⇒ {\theta} = \frac{10(360{\degree})}{2 (3.14)(24)}

                ⇒{\theta}=23.8853503°

4 0
3 years ago
What is the radius of a sphere that has a surface area of 12.56 in^2
EastWind [94]
A=4\pi R^2\\\\A=12.56\ in^2;\ R=?\\\\4\pi R^2=12.56\ \ \ |divide\ both\ sides\ by\ 4\pi\\\\R^2=\dfrac{3.14}{\pi}\\\\R^2\approx\dfrac{3.14}{3.14}\\\\R^2=1\\\\R=1\ (in)
8 0
3 years ago
Yolanda deposits $300 per month in an account with an APR of 6%, while Zach deposits $3600 at the end
bonufazy [111]

Answer:

Yolanda will have a balance of $34,043.10 in 14 years.

Step-by-step explanation:

This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.

To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = \frac{PMT}{r}[1-(1+r)^{-t} ]\\

PMT= recurring payment = $300

r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.

t = total duration ; 14 *12 = 168 months

Next, plug in the numbers into the FVA formula;

FVA = \frac{300}{0.005} [ 1-(1+0.005)^{-168} ]

FVA = 60,000 * 0.5673849

FVA = 34,043.0969

Therefore, Yolanda will have a balance of $34,043.10 in 14 years

7 0
3 years ago
lola just received a promotion at work now earns $18 per hour. she writes the equation y=18x to represent her total earnings ,y,
aliya0001 [1]

Answer:

Step-by-step explanation:

Just took the test

5 0
3 years ago
Annie plants 6 rows of small flowers bulbs in a garden she plants 132 bulbs in each row.how many bulbs does Annie plant?
andrew11 [14]
(792 bulbs) To answer this question one would multiply the number of rows times the number of bulbs 6 x132= ? to get the answer.
3 0
3 years ago
Read 2 more answers
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