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3 years ago

Nita studied 4 1/3 hours on Saturday and 5 1/4 hours on Sunday. How many hours did she spend studying?

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer: 9 7/12 hours

Step-by-step explanation: To solve this problem we will simply add 4 1/3 to 5 1/4. first we will need to make the denominators the same. The denominator that will work for both numbers is 12.

So, multiply the denominator and numerator in 4 1/3 by 4 to get 4 4/12 and multiply the denominator and numerator in 5 1/4 by 3 to get 5 3/12.

Now simply add the two hours together.

4 4/12 + 5 3/12 = 9 7/12

So Nita spend 9 7/12 hours studying.

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-2x+3y=-6 in slope form

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Slope-intercept form: y=mx+b
3y=-6+2x
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3 years ago

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3 years ago

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3 years ago

3. In the figure below, find the values of x, y, and z.

Murrr4er [49]

Answer:

z= 13

x= 36

y= 18

Step-by-step explanation:

Solving for z.

We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.

We can set both of those angles equal to each other, and solve for our missing side, z.

108= 8z+4

104=8z

z= 13

Solving for x.

We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.

We can set both of these angles equal to each other, and solve for our missing side, x.

3x=108

x= 36

Solve for y.

We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.

4y+108=180

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3 0

2 years ago

Use the formula for compound interest, a P 1 i n = ^ h + , to determine how many years it will take for an investment of W10 000

Sergeu [11.5K]

The money will be triple after 15 years and 303 days.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

Principle (P) = $10,000

The amount will be triple.

So, Amount (A) = $30,000

Rate (r) = 7% = 0.07

The interest is compounded quarterly.

n = 4

We have to find the value of t.

Let,

$A = P(1+\frac{r}{n})^n^t\\ 30000 = 10000(1+\frac{0.07}{4})^4^t\\\frac{30000}{10000} = (1 + 0.0175)^4^t\\ 3 = (1.0175)^4^t$

Apply logarithm on both sides,

$log(3) = log(1.0175)^4^t\\log(3) = 4t log(1.0175)\\t = \frac{log(3)}{4(log(1.0175))} \\t = \frac{0.4771212547}{4(0.0075344179)} \\t = \frac{0.4771212547}{0.0301376716} \\t = 15.83139$

Hence, the money will be triple after 15 years and 303 days.

To know more about compound interest, click on the link

brainly.com/question/24274034

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1 year ago