Need help ASAP <br> Question 7

Min read 1/8 of his book before lunch and 1/4 of his book after his lunch, he says he has read 2/12 of this book! Which statemen

aev [14]

Answer:

It should be the 2nd answer

Step-by-step explanation:

5 0

3 years ago

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Find the area of the shape either enter an exact answer in terms of Pi or use 3.14 for pi and enter your answer as a decimal

sammy [17]

<u>Given</u>:

Given that the radius of the figure is 6 units.

We need to determine the area of the shape.

<u>Angle of the shape:</u>

The angle of the shape is given by

$\theta=360-90=270$

Hence, the angle of the shape is 270°

<u>Area of the shape:</u>

The area of the shape can be determined using the formula,

$A=(\frac{\theta}{360}) \pi r^2$

Substituting r = 6, we get;

$A=(\frac{270}{360}) (3.14)(6)^2$

Simplifying, we get;

$A=(0.75)(3.14)(36)$

$A=84.78$

Thus, the area of the shape is 84.78 square units.

5 0

3 years ago

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1)

Anettt [7]

Answer:

B. $(1,-5)$

Step-by-step explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

$y=-7x+2...(1)$

$y=9x-14...(2)$

To solve our given system, we will equate both equations as:

$9x-14=-7x+2$

Combine like terms:

$9x+7x-14+14=-7x+7x+2+14$

$16x=16$

$x=\frac{16}{16}=1$

Upon substituting $x=1$ in equation (1), we will get:

$y=-7(1)+2\\\\y=-7+2\\\\y=-5$

Therefore, the ordered pair $(1,-5)$ is the solution of the given system and option B is the correct choice.

7 0

3 years ago

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Colin borrowed some money at 7.16%/a compounded quarterly. Three years later, he paid $5000 toward the principal and the interes

attashe74 [19]

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

<h3>How do we calculate the original amount using PV formula?</h3>

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

Learn more about borrowing here: brainly.com/question/4239348.

#SPJ1

6 0

2 years ago

A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant b

AVprozaik [17]

B. 18 because you divide the total number of cans by the number of sheets used to make them. 36/2 = 18, 180/10 = 18

8 0

3 years ago

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Need help ASAP Question 7