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Yuliya22 [10]
3 years ago
6

What is the total amount you would have to pay back on a $4500 loan at 5% for 3 years?

Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

675

Step-by-step explanation:

5% of 4500 is 225

225 x 3 = 675

675 + 4500 = 5175

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Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.
nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

\sin (x+y) = 3\sin (x-y)

Using the identities

\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\

we get

\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}

7 0
4 years ago
Each student at Madison middle school owns three spiral notebooks. Mrs. Campbell wants to calculate the total number of notebook
adoni [48]
D. S, the number of students at the school
8 0
3 years ago
What is 3yards x 3feet x 1foot=
Kazeer [188]

Answer:

<h2>27ft³</h2>

Step-by-step explanation:

1 yard = 3  feet

therefore 3 yards = 3(3 feet) = 9 feet

3yd × 3ft × 1ft = 9ft × 3ft × 1ft = 27ft³

5 0
3 years ago
Which expression is equivalent to (xy2x−3y)4?
lianna [129]

Answer:

4x2y2−12y

Step-by-step explanation:

Write the problem as a mathematical expression. ( x y 2 x − 3 y ) ⋅ 4 Multiply x by x by adding the exponents. ( x 2 y 2 − 3 y ) ⋅ 4 Simplify by multiplying through.  4 ⋅ ( x 2 y 2 ) − 12 y Remove parentheses. 4 x 2 y 2 − 12 y

6 0
2 years ago
PLEASE HELP ASAP!!What is 7.8×105 hours in days?
In-s [12.5K]
B.) 3.250*106 days

I figured it out!! Yay!

You take 7.8 and divide it by 24 which will get you 0.325
In order to get it match one of the options, multiply it by 10 (which will add 1 to 105!) Leaving you 3.25*106
7 0
3 years ago
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