1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa05 [86]
3 years ago
11

What is the cube root of 216x^9y^8

Mathematics
2 answers:
exis [7]3 years ago
8 0
<span>cube root of 216x^9y^8

(</span>216x^9y^8)^(1/3)

216^(1/3) = 6

9/3 = 3

8/3 = 2 2/3

(216x^9y^8)^(1/3) = 6 x^3 y^2 y^(2/3)
romanna [79]3 years ago
7 0
Hello,
Please, see the attached file.
Thanks.

You might be interested in
A restaurant manager wants to purchase 200 sets of dishes. one design costs ​$15 per​ set, while another costs ​$55 per set. if
vivado [14]
Hello,

Let's solve this problem mathematically.

For first design...

f = 200 \times 15 = 3000

For second design...

s = 200 \times 55 = 11000

To use an entire budget for design she must order.

For first design

5800÷3000 = 1.93f

or
For second design

5800÷11000=0.52s

Hope this helps answer your question!
r3t40
5 0
3 years ago
Victor earns a gross annual income of $64,570 and is buying a home for $125,340. He is making a 15% down payment and financing t
Oliga [24]
Part A:

Given that <span>Victor is buying a home for $125,340 and that he is making a 15% down payment.

The amount of down payment is given by 15% of $125,340 = 0.15 x $125,340 = $18,801.

Therefore, the amount of mortgage he needs to borrow is given by $125,340 - $18,801 = $106,539


Part B

</span>Given that he earns a gross annual income of $64,570 <span>and that the loan of $106,539 will be spread for 20 years at 3.75% interest.

$106,539 / 20 = $5,326.95

Roughly he will be paying about $5,000 every year which is way below his annual gross income. 

Therefore, he can afford the mortgage.


Part C

The monthly mortgage payment can be calculated using the present value of annuity formula given by

</span>PV=P\left( \frac{1-\left(1+\left( \frac{r}{t} \right)\right)^{-nt}}{ \frac{r}{t} } \right)
<span>
where: PV is the current value of the loan, P is the periodic (monthly) payment, r is the annual interest rate, t is the number of payment in one year and n is the number of years.

Here, PV = </span>$106,539; r = 3.75% = 0.0375; t is 12 payments in one year (since payment is to be made monthly); n = 20 years.

Thus, we have:

106,539=P\left( \frac{1-\left(1+\left( \frac{0.0375}{12} \right)\right)^{-20\times12}}{ \frac{0.0375}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+0.003125\right)^{-240}}{0.003125} \right)=P\left( \frac{1-\left(1.003125\right)^{-240}}{0.003125} \right) \\  \\ =P\left( \frac{1-0.472919}{0.003125} \right)=P\left( \frac{0.527081}{0.003125} \right)=168.666P \\  \\ \Rightarrow P= \frac{106,539}{168.666} =631.66

Therefore, the monthly mortgage payment is $631.66


Part D

Since he will make a monthly payment of $631.66 for 20 years, thus he will make a total of $631.66 x 12 x 20 = $151,598.40

Therefore, his total payment for the house will be $151,598.40


Part E

Since he will make a total payment of $151,598.40 for a mortgage loan of $106,539.

Therefore, the amount of interest he will pay is given by $151,598.40 - $106,539 = $45,059.40
7 0
3 years ago
Which statement describes the rate of change of the following function?
GarryVolchara [31]

The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.

In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.

8 0
3 years ago
Which is a true statement about any two chords that are the same distance from the center of a circle?
stepladder [879]
If two cords are the same distance from the center of a circle than both cords are congruent 
8 0
3 years ago
Read 2 more answers
WILL GIVE EXTRA POINTS<br>Assignment name: Segment Addition ​
rjkz [21]

Answer:

the measure of AB equals the measure of BC

2x+1=3x-4

4+1=3x-2x

5=x

BC=3x-4=3*5-4=15-4=11

AB=2x+1=2*5+1=10+1=11

AC=AB+BC=11+11=22

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Identify the number that does not belong with the other three. Explain your reasoning.
    5·1 answer
  • If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?
    8·2 answers
  • 8x+4=9x <br> I need help!!
    12·1 answer
  • 954 to the nearest hundred
    8·1 answer
  • Express 0.7723 as a fraction.
    7·2 answers
  • You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your
    9·1 answer
  • Solve it plssssssssssssss
    6·1 answer
  • Multiply x(x^2+2x+4) and -2(x^2+2x+4)<br> Combine like terms:<br> Final answer:
    9·1 answer
  • Ayy yo who want smok wit me
    8·1 answer
  • Which law would you use to simplify the expression...​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!