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Sergio039 [100]
3 years ago
7

(vii) log32 8=m Again please

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

log_(32)8= 3/5

Step-by-step explanation:

Log_(32)8 = m

write is as

32^m=8

(2^5)^m = 2^3

2^5m = 2^3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

5m = 3

divide 5 on both sides to remove it from m

m= 3/5

Hope this helps!

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3. Quincy deposits $400 in a new bank account that earns 4% simple interest per year. What
Illusion [34]

Answer:

$448

Step-by-step explanation:

We can use the simple interest formula for this:

A = P (1 + rt)

<em>P = initial balance</em>

<em>r = annual interest rate</em>

<em>t = time</em>

<em />

First, change 4% into its decimal form:

4% -> \frac{4}{100} -> 0.04

Now, lets plug in the values:

A=400(1+(0.04)(3))

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The total amount in the account after 3 years will be $448

8 0
3 years ago
11 more than five if a certain number is twenty more than 2 times of that number. what is the number?
Thepotemich [5.8K]
11 more than five of a certain number would be written as 5x+11 and it is (means equal to) twenty more than two times that number, which would be 2x+20. So the equation would be
5x+11=2x+20
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3x+11=20
-11 -11 (get the numbers on one side)
3x=9
/3 /3 (divide by 3, so you can get the x by itself)
X=3 (the number is 3)
4 0
3 years ago
At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the
den301095 [7]

Answer:

16%

Step-by-step explanation:

To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333  converted into a percentage is approximately 16%.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")

6 0
3 years ago
Daquavion ha some great video games.Nicholas has 3 more games than daquavion. If Nicholas has 14 games, how many does daqauvion
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If Nicholas has 14 games, Daqauvion has 11 games because 14-3=11

6 0
3 years ago
A triangle has a leg of 11 cm, and a hypotenuse of 17 cm, what is the length of the other leg
Vera_Pavlovna [14]
The answer to this question is 12.1695 because a^2+b^2=c^2
5 0
3 years ago
Read 2 more answers
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