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3 years ago

A piano has 52 white keys. Write and use an equation to find the number of octaves on a piano keyboard.

1 answer:

3 0

There are 7 keys in each octave (C,D,E,F,G,A and B) so it would make sense to divide 52 to 7.
52/7=7 octaves and 3 extra kets

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Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst

BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

so correct option is B that is $149927.40.

8 0

3 years ago

What is the solution to the linear equation?

DIA [1.3K]

Answer:

the solution of linear equation 4b + 6 = 2 - 6 + 4 is b = -2

Step-by-step explanation:

We need to solve the linear equation

4b + 6 = 2 - 6 +4

Adding constants

4b + 6 = 0

Adding -6 on both sides

4b + 6 -6 = 0 -6

4b = -6

Dividing with 4 on both sides

4b/4 = -6/4

b = -2

So, the solution of linear equation 4b + 6 = 2 - 6 + 4 is b = -2

8 0

3 years ago

WILL MARK BRAINLIEST FOR BEST ANSWER! SERIOUS ANSWERS ONLY!

alexira [117]

Answer:

Step-by-step explanation:

2081.25 ; 2312.50 ; 2543.75 ; ..... 7500

a= 2081.25

d = 231.25

$t_{n}= 7500$

$a + (n-1)d = t_{n}$

2081.25 + (n-1) * 231.25 = 7500

(n -1) *231.25 = 7500 - 2081.25

231.25n - 231.25 = 5418.75

231.25n = 5418.75 + 231.25

231.25n = 5650

n = 5650/231.25 = 565000/23125

n = 904/37

n = 24 years 157 days

6 0

2 years ago

Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

Part 3) $f(x)=x(x+4)$ ----> All real numbers

Part 4) $f(x)=\frac{4}{x^2+8x+16}$ ----> $x\neq -4$

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

therefore

The domain is

$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

6 0

3 years ago

Help me with this<br>pls

irinina [24]

Answer:

reflection from the x-axis

6 0

3 years ago

Read 2 more answers