All categories

3 years ago

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Answer:

2 ( 6 x^ 3 − 30 x ^2 + 2 x − 1 )

Step-by-step explanation:

You might be interested in

What is the common ratio of the geometric sequence below? 625, 125, 25, 5, 1, ...

larisa [96]

Answer: 1/5 or 0.2

Step-by-step explanation: each number is just dividing by 5

like 625/5 = 125

125/5 = 25

25/5 =5

5/5 = 1

similarly 1/5 = 0.2 or 20%

4 1

2 years ago

Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates

cupoosta [38]

Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

The Amount paid towards mortgage in 20 years = A = $240,141

Let the Annual percentage rate on interest = r % compounded annually

Now, From Compound Interest method

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, $240,141 = $167,000 × $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

or, $\dfrac{240,141}{167,000}$ = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or , 1.437 = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or, $(1.437)^{\frac{1}{20}}$ = $(1+\dfrac{r}{100})$

or, 1.018 = $(1+\dfrac{r}{100})$

Or, $\dfrac{r}{100}$ = 1.018 - 1

Or, $\dfrac{r}{100}$ = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8% Answer

8 0

2 years ago

Jamal hiked on two trails.The first trail was 5 1/3 miles long,and the second trail was 1 3/4 times as long as the first trail.H

olya-2409 [2.1K]

The answer Is 9 1/3.

4 0

3 years ago

A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population

NikAS [45]

Answer:

The probability that the average weight of the boxes will exceed 94 pounds is 43.25%

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

The probability that the average weight of the boxes will exceed 94 pounds is 43.25%

8 0

2 years ago

timmy was asked to order nine pizzas, with the following orders: one pepperoni and one cheese how many did he order in total

Romashka [77]

11 pizza's.

9 + 1 + 1 = 11

7 0

3 years ago

Read 2 more answers