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3 years ago

The factorisation of 10xᴧ2 – 18xᴧ3 + 14xᴧ4 is

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

${10x}^{2} - 18 {x}^{3} + {14x}^{4} \\$

factorise out x² :

$= {x}^{2} (10 - 18x + 14 {x}^{2} )$

then factorise out 2:

$= 2 {x}^{2} (7 {x}^{2} - 9x + 5)$

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Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds

MissTica

Step 1

Given;

$\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}$

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

$A=P(1+rt)$

Step 3

Find the interest when the rate is 8%

$\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}$

Therefore the interest is given as;

$A-P=382397.26-375000=\text{\$}7397.26$

Step 4

Find the interest in 1980 with a 20% rate

$\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}$

The interest is given as;

$A-p=393493.15-375000=\text{\$}18493.15\text{ }$

Step 5

Find the difference in interest between the two rates.

$\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89$

Hence, the difference in interest between the two rates = $11095.89

4 0

1 year ago

PLEASE HELP ME IM BEING TIMEDD

JulsSmile [24]

10 rows because that's right

7 0

3 years ago

Read 2 more answers

Which of the following are valid names for the triangle below? Check all that

Tanya [424]

Answer:

A

B

E

Explanation:

The first, third and fifth options are valid as it mentions the three edges; no matter what the order is as long as the three points are mentioned its considered as the valid name

5 0

3 years ago

Find the volume of the rectangular prism.

gavmur [86]

Answer:

The answer is C, 281.25 cubic feet.

Step-by-step explanation:

First, you need to multiply all three sides of the rectangular prism.

10x4.5=45

45x6.25=281.25

So the answer is 281.25

Hope this helps!

5 0

3 years ago

Wanda starts with $1200 and deposits $40 per week. Zelda starts with $700 and deposits $50 per week. When will Wanda have the sa

Masja [62]

Let the number of weeks to have same amount = x Then:-

1200 + 40x = 700 + 50x
1200 - 700 = 50x - 40x

10x = 500
x = 50
answer is 50 weeks

4 0

3 years ago