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3 years ago

Please help school is ending soon and i just need a little bit more help

Mathematics

2 answers:

Dovator [93]3 years ago

4 0

Answer:

Step-by-step explanation:

Vesna [10]3 years ago

3 0

2x+20+2x-4=180
4x+16=180
-16. -16
4x= 164
/4. /4
X= 41

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Jacobs college savings are invested in a bond that pays an annual interest of 6.2% compounded continuously. How long will it tak

DiKsa [7]

Answer:

Therefore the value of bond will triple after 17.72 years.

Step-by-step explanation:

The formula of Compounded continuously

$A=Pe^{rt}$

A= Amount after t year

P= initial amount

r = rate of interest

t= time in year.

Given that,

Jacobs college saving are invested in bond that pay 6.2% compounded continuously.

Let after t years the initial amount P will be triple i.e 3P.

Here P=P, A=3P, r= 6.2%=0.062

$\therefore 3P=Pe^{0.062t}$

$\Rightarrow 3=e^{0.062t}$ [ Multiply $\frac 1P$ both sides]

Taking ln both sides

$\Rightarrow ln3=ln(e^{0.062t})$

$\Rightarrow ln3={0.062t}$ [ since $ln(e^a)=a$ ]

$\Rightarrow t=\frac{ln3}{0.062}$

$\Rightarrow t\approx 17.72$ years

Therefore the value of bond will triple after 17.72 years.

4 0

3 years ago

Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server pot

iogann1982 [59]

Answer: what is the question

Step-by-step explanation:

8 0

3 years ago

A. It has reflectional symmetry with one line of symmetry.

Helga [31]

Answer:

The answer would be D.

Step-by-step explanation:

No matter which way you turn this shape, it will not be symmetrical

8 0

3 years ago

15 people working 5 hours per day can make 30 units of a product in 10 days. Assuming all other factors remain constant and peop

steposvetlana [31]

Answer:

I don't really understand it very well

4 0

3 years ago

Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

3 years ago