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Katena32 [7]
3 years ago
5

Evaluate the logarithmic function for the given value.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

f(125) = log_{5}(125 ) \\  =  log_{5}( {5}^{3} ) = 3 log_{5}(5 )  = 3(1) =  3

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Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closin
worty [1.4K]

Answer:

For 4 years the money was in the account .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\times Time}{100}

As given

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year.

She earned $299 in interest before closing the account.

Principle = $1300

Rate = 5.75%

Simple interest = $299

Putting all the values in the formula

299 = \frac{1300\times 5.75\times Time}{100}

Time= \frac{299\times 100}{1300\times 5.75}

Time= \frac{29900\times 100}{1300\times 575}

Time= \frac{2990000}{747500}

Time = 4 years

Therefore for 4 years the money was in the account .


8 0
3 years ago
The area of a square patio is 225 square feet. How long is each side of the patio? (QUICK I HAVE AN EXAM LOL)
frosja888 [35]

Answer:

15 feet

Step-by-step explanation:

Since this is a square the sides are of the same length.

Now the side multiplied by itself gives 225. Hence the length of the side is a number which multiplied by itself gives 225. It is easy to see that 15 × 15 = 225. Therefore the side is 15 feet long.

6 0
2 years ago
In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x. A. 19 B. 38 C. 42 D. 55
Lady_Fox [76]

3X+11=125

3X=125-11

3X=114

X=114/3

X=38

So the answeris B 38

7 0
3 years ago
Given the function f(x) = 9x2 + 27x + 2, find f(2).​
Marina CMI [18]

Step-by-step explanation:

In the picture, That's a correct answer.

6 0
3 years ago
An open box is to be made from a flat square piece of material 16 inches in length and width by cutting equal squares of length
vaieri [72.5K]

Answer:

V = x(19-2x)(4-2x)

Step-by-step explanation:

We are given;

Length of flat piece of material =19 inches

Width of flat piece = 4 inches

We are told that the open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides

Thus, we will now have;

length of open box = (19-2x) inches

Width of open box = (4-2x) inches

Height of box = x inches

We know that: Volume of box = length × width × height

So, plugging in the relevant values, we have;

Volume of box(V) = x(19-2x)(4-2x)

7 0
3 years ago
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