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2 years ago

What is the growth factor for 233% growth

Mathematics

1 answer:

givi [52]2 years ago

5 0

Answer:

Here is what you do. Make it into vertex form and then whatever the x factor is is the growth factor

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Convert: 6y + y² = x² from rectangular to polar form.

11Alexandr11 [23.1K]

$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\\\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\\\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\$

$\bf 6y+y^2=x^2\implies \cfrac{6y}{x^2}+\cfrac{y^2}{x^2}=1\implies \cfrac{6rsin(\theta )}{[rcos(\theta )]^2}+\cfrac{[rsin(\theta )]^2}{[rcos(\theta )]^2}=1
\\\\\\
\cfrac{6rsin(\theta )}{r^2cos^2(\theta )}+\cfrac{r^2sin^2(\theta )}{r^2cos^2(\theta )}=1\implies 
\cfrac{6sin(\theta )}{rcos^2(\theta )}+\cfrac{sin^2(\theta )}{cos^2(\theta )}=1$

$\bf \cfrac{6sin(\theta )}{rcos^2(\theta )}=1-\cfrac{sin^2(\theta )}{cos^2(\theta )}\implies \cfrac{6sin(\theta )}{1-\frac{sin^2(\theta )}{cos^2(\theta )}}=rcos^2(\theta )
\\\\\\
\cfrac{6sin(\theta )}{cos^2(\theta )\left[ 1-\frac{sin^2(\theta )}{cos^2(\theta )} \right]}=r\implies \cfrac{6sin(\theta )}{cos^2(\theta )-sin^2(\theta )}=r
\\\\\\
\cfrac{6sin(\theta )}{cos(2\theta )}=r$

5 0

3 years ago

Joshua uses the Small Business Administration (SBA) Loan Program to obtain a loan to help expand his vending machine business. J

TiliK225 [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

Principal amount Joshua borrowed, P = $ 25000

rate of interest, r = 1.5 %

time, t = 2 years

simple interest = $\frac{P*r*t}{100}$

simple interest = $\frac{25000*1.5*2}{100}=750$

Means $ 750 will be the interest of Joshua's loan.

So, Joshua needs to repay the SBA = $25000+750=25750$

Hence, Joshua will repay $ 25750 to SBA after two years. : Answer

Hope it will help :)

5 0

3 years ago

Uh need help

deff fn [24]

Answer:

$48

Step-by-step explanation:

price of jacket : original price

3 : 4

If 64 = 4, we can find out 1.

64 / 4 = 16

16 x 3 = 48

16 x 4 = 64

48 : 64

sale price = $48

Hope this helps!

- profparis

3 0

1 year ago

Read 2 more answers

What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round u

denpristay [2]

Answer:

9.8

Step-by-step explanation:

The formula for the area of a triangle is a=bh/2, where a is area, b, is the base, and h is the height. If we substitute the values in the question in the equation, we get:

a=(6.5*3)/2

a=19.5/2

a=9.75

a≈9.8

7 0

3 years ago

1. (02.01 MC) Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part A: Write an e

krok68 [10]

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

Milk = 20% of x

= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

= 0.25 liter

Milk = 0.25 liters

8 0

3 years ago