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2 years ago

Laura borrowed $9,000 at 4% for 2 years. what was the total interest?

Mathematics

1 answer:

Nataly_w [17]2 years ago

6 0

Answer:

$720

Step-by-step explanation:

I = Prt

I = (9000)(0.04)(2)

I = 720

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The gas tank in mindys car holds 15 gallons she has already filled the tank with seven gallons she will continue to fill the tan

Margaret [11]

I'm not exactly sure, but this:

g=15-7

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2 years ago

Ava earns $ 3 for every cup of lemonade she sells How many cups of lemonade does Ava need to sell in all to earn $ 24?

STatiana [176]

Answer:

Ava needs to sell 8 cups of lemonade to earn $24.

Step-by-step explanation:

This is actually just a simple multiplication question. How many times do we need to multiply 3 to get 24? 3 x 8 is 24, and therefore we can conclude Ava needs to sell 8 cups of lemonade to earn $24.

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2 years ago

What is the surface area of this cube

Sedaia [141]

Answer:

surface area of cube is 6a² where a is side of the cube

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2 years ago

Jane wants to estimate the proportion of students on her campus who eat cauliflower. after surveying 39 students, she finds 4 w

stellarik [79]

Let $x$ be the number of students who eat cauliflower.

Therefore, $x=4$ .

Let $n$ be the total number of students surveyed.

Therefore, $n=39$

Thus, $\hat p$ $=\frac{4}{39} =0.10256$

Now, for 90% confidence level, from the table we know that $Z=1.645$ .

The formula for the interval range of proportion of students is :

$p= \hat p\pm Z\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Plugging in the values we get:

$p=0.10256\pm 1.645\sqrt{\frac{0.10256(1-0.10256)}{39}}=0.10256\pm 0.04858=0.15114, 0.05398$

Thus, Jane is 90% confident that the population proportion p, for students who eat cauliflower in her campus is between 5.398% and 15.114% (after converting the answer we got to percentage).

7 0

3 years ago

Identify the zeros of the function f(x) = 2x^2 − 4x + 5 using the Quadratic Formula

Nostrana [21]

For this case we have that by definition, the roots, or also called zeros, of the quadratic function are those values of x for which the expression is 0.

Then, we must find the roots of:

$2x ^ 2-4x + 5 = 0$

Where:

$a = 2\\b = -4\\c = 5$

We have to: $x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Substituting we have:

$x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (2) (5)}} {2 (2)}\\x = \frac {4 \pm \sqrt {16-40}} {4}\\x = \frac {4 \pm \sqrt {-24}} {4}$

By definition we have to:

$i ^ 2 = -1$

So:

$x = \frac {4 \pm \sqrt {24i ^ 2}} {4}\\x = \frac {4 \pm i \sqrt {24}} {4}\\x = \frac {4 \pm i \sqrt {2 ^ 2 * 6}} {4}\\x = \frac {4 \pm 2i \sqrt {6}} {4}\\x = \frac {2 \pm i \sqrt {6}} {2}$

Thus, we have two roots:

$x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}$

Answer:

$x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}$

3 0

3 years ago