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soldier1979 [14.2K]
3 years ago
15

The expression 3^2 ∙ 3^n simplifies to 3^20.

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer: 18

<u>Step-by-step explanation:</u>

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾  = 3²⁰

 2 + n = 20

<u> -2      </u>   <u>  -2</u>

       n = 18

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Solve 7 pleaseeeeeeeeeeeeeeeee
yanalaym [24]

Answer:

5040

Step-by-step explanation:

I assume you really mean 7!

you understand what "!" means ?

n! = n×(n-1)×(n-2)×(n-3)×...×3×2×1

so,

7! = 7×6×5×4×3×2×1

now all you need is a calculator.

7! = 5040

6 0
3 years ago
1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%
vlabodo [156]

The monthly  payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

  • Principal (P): $ 295,000
  • Rate (r): 6.3%  = 0.063
  • Number of times compounded (n): 12months\times15 years = 180
  • Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180\times15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15\times12)

The monthly  payment on the mortgage = 2576.9 (approximately option C)

8 0
4 years ago
What are the solutions to the system of equations?
fomenos

Answer:

d

Step-by-step explanation:

y=0^2-5x0+6=0+0+6=6

y=-4x0+6=0+6=6

y=1-5+6=2

y=-4+6=2

6 0
3 years ago
Read 2 more answers
In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be?
Firdavs [7]

The answers are D:Rectangle, and B:Parallelogram

3 0
3 years ago
Marie has a small copy of rene magritte's famous painting, the schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The
Andrej [43]
We just multiply the scale to the dimensions
2 in to original is: 2×40= 80 cm
or do proportions:
\frac{2}{x}=\frac{1}{40}
=\frac{2*40}{1}=x
=80 cm=x the original dimension.
Same thing to the other side.
1.5×40=60 cm
or proportions again:
\frac{1.5}{y}=\frac{1}{40}
\frac{1.5*40}{1}=y
60 cm=y 
60 cm is the original dimension
80 cm times 60 cm ORIGINAL DIMENSION
4 0
3 years ago
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