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Vikki [24]
3 years ago
15

Help me please!! It’s due soon!!

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

13.7

Step-by-step explanation:

Using cosine formula:

AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC

AB^2 = 15^2 +12^2 -2*15*12*cos60

AB = 13.7 in

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Type the correct answer in the box. Round your answer to the hundredth.
sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

A=P e^{k*t}

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

3P = P e^{0.05 * t}

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

\frac{3P}{P} = \frac{P}{P}  e^{0.05 * t}

3 = e^{0.05 * t}

ln(3) = 0.05 * t

t = \frac{ln(3)}{0.05} = 21.972245... years

6 0
3 years ago
Find the quotient 12÷3/8
bearhunter [10]

Answer:

32

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

 

Thus, the answer to 12 divided by 3/8 in fraction form is:

96 /3

To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

96 / 3 = 32

The answer is rounded to the nearest two decimal points if necessary.

96/3 can be simplified to 32/1.

32/1 is an improper fraction and should be written as 32.

Hope this helps <3

3 0
2 years ago
Read 2 more answers
Find the <br> x-intercept and <br> y-intercept of the line.
vova2212 [387]
<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>

To find both the x and the y intercept, we need to solve one at a time.

For the x intercept, we need to make the value of y equal to 0, and solve for x.

-x + 7y = 7

-x + 7(0) = 7

-x = 7

Multiply both sides by -1.

x = -7

The x intercept is -7.


Now for the y intercept.

-(0) + 7y = 7

7y = 7

Divide both sides by 1.

y = 1

The y intercept is at 0, 1.

5 0
3 years ago
The wait time of a line t hours after a store opens is given by the expression.
ser-zykov [4K]
23 represents the wait time at the time the store opens.
7 0
3 years ago
Whats is 67.24 as a mixed number
masha68 [24]
<span>67 24 out of 100 i believe</span>
6 0
3 years ago
Read 2 more answers
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