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3 years ago

Select the expression that is equivalent to 40.

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

5x(6+2) because 6+2=8 ans 5x8=40

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In the formula l=p+prt, what does l equal when p=500,r=20%, t=2

Juliette [100K]

Just plug in 500 for p, 0.2 for r (because 20% is equivalent to 0.20), and 2 for t:

$I=p+prt\\I=(500)+(500)(0.2)(2)\\I=500+200\\I=700$

So, if you start with $500 and charge an interest rate of 20% for 2 years, you will gain $200 to get $700 in total.

7 0

3 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

3 years ago

3. From noon to midnight, how many times do the hands of a clock form a<br> straight line

melomori [17]

Step-by-step explanation:

The hands of a clock point in opposite directions ( in the same straight line) 11 times in every 12 hours.

4 0

2 years ago

PLEASE HELP

Sergeeva-Olga [200]

Answer:

y = 2

Step-by-step explanation:

I will solve this problem, using the elimination method.

-2(5x - 3y) = -11

-10x + 6y = 22

2x - 6y = -14

Subtract and divide for x

-8x = 8

x = -1

Input -1 into the equations

2(-1) - 6y = -14

-6y - 2 = -14

-6y = -12

y = 2

Thanks!

5 0

3 years ago

Can someone please help me with this. I'll give 50 points!

OlgaM077 [116]

Answer:

the second one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers