at the party 3/5 of girls had brown hair if 12 girls did not have brown hair, how many girls were at the party

jamerra received a $3,00 car loan. she plans on paying off the loan in 2 years. at the end of 2 years, jamerra will have paid $4

leonid [27]

The rate of interest is 75 % per year

Solution:

Given that, Jamerra received a $3,00 car loan

she plans on paying off the loan in 2 years

Jamerra will have paid $450 in interest

Therefore, we get

Principal = $ 300

Number of years = 2

Simple Interest = $ 450

Rate of interest = ?

The simple interest is given by formula:

$simple\ Interest = \frac{p \times n \times r}{100}$

Where,

"p" is the principal and "n" is the number of years and "r" is the rate of Interest

Substituting the given values we get,

$450 = \frac{300 \times 2 \times r}{100}\\\\450 = 3 \times 2 \times r\\\\6r = 450\\\\r = \frac{450}{6}\\\\r = 75$

Thus rate of interest is 75 % per year

5 0

3 years ago

Find the surface area of the composite figure

Maslowich

Answer:

498

Step-by-step explanation:

For the blue block: 4(7x2) + 2(2x2) = 56 + 8 = 64

For green block: 4(12x7) + 2(7x7) = 336 +98 = 434

434 + 64 = 498

3 0

3 years ago

PLSSS HELP IF YOU TURLY KNOW THISS

Ymorist [56]

Answer:

B

Step-by-step explanation:

3 out of 10 is smaller than 3 out of 5

4 0

2 years ago

Read 2 more answers

If 5 friends wanted to share 1.25 of a pizza evenly how much each person get

Debora [2.8K]

0.25 = $\frac{1}{4}$

1.25 = 1 $\frac{1}{4}$ = $\frac{5}{4}$

there are 5 quarters thus each person woud get one quarter

6 0

3 years ago

Read 2 more answers

Tan(x+pi) + 2sin(x+pi)=0 can you help prove this and make the left side equal the right?

vladimir1956 [14]

This is not an identity but an equation. You're supposed to find the values of $x$ for which this is true. It is *not* true for all values of $x$ .

To see why:

$\tan x$ has period $\pi$ , which means $\tan(x+\pi)=\tan x$ .

The angle sum identity for $\sin x$ says that

$\sin(x+\pi)=\sin x\cos \pi+\cos x\sin\pi=-\sin x$

So

$\tan(x+\pi)+2\sin(x+\pi)=\tan x-2\sin x$

By definition of $\tan x$ ,

$\tan x=\dfrac{\sin x}{\cos x}$

and so

$\tan x-2\sin x=\sin x\left(\dfrac1{\cos x}-2\right)$

which is only 0 if either $\sin x=0$ (which only happens for certain values of $x$ ) or $\dfrac1{\cos x}-2=0\implies\cos x=\dfrac12$ (which also only happens for certain values of $x$ ). It's these values of $x$ you want to find.

$\sin x=0$ whenever $x$ is a multiple of $\pi$ , i.e. $x=n\pi$ for any integer $n$ .

If $0\le x$ , then $\cos x=\dfrac12$ is true for $x=\dfrac\pi3$ and $x=\dfrac{5\pi}3$ . Then to account for all other possible values, we add a multiple of $2\pi$ , so that $x=\dfrac\pi3+2n\pi$ or $x=\dfrac{5\pi}3+2n\pi$ for integers $n$ .

5 0

3 years ago