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
zhannawk [14.2K]
2 years ago
8

A man borrowed $8000. He paid $10100 after 9 months for the debt. What was the interest rate per annum?

Mathematics
1 answer:
Anastaziya [24]2 years ago
4 0

Answer:

3.5%

Step-by-step explanation:

Interest = 10100 - 8000 or 2100

I = Prt

2100 = 8000(9/12)r

2100 = 600r

2100/600 = r

3.5 = r

You might be interested in
Find the x- and y- intercepts of parabola y=5x^2-16x+10
____ [38]

Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

5 0
2 years ago
Which equation matches the graph shown?
pogonyaev

Answer:

  • C. y = 4x - 3

Step-by-step explanation:

<u>The line has a positive slope and negative y-intercept.</u>

  • m = 4, b = - 3

This is only matched by a choice C

4 0
2 years ago
Read 2 more answers
The number 512 is a perfect cube because 512 = 83.
alexgriva [62]

Step-by-step explanation:

the number which is a perfect cube :

125, because 125 = 5³

3 0
3 years ago
Read 2 more answers
What race is Worf?<br> A. Saiyan<br> B. Makrazin<br> C. Klingon<br> D. Martain
rosijanka [135]

Answer:

Step-by-step explanation:

c i watch the show

8 0
3 years ago
What is the simplified form of the following expression?
USPshnik [31]

Option C:

$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}

Solution:

Given expression is

$\sqrt[3]{\frac{4 x}{5}}

Note: \sqrt[3]{125}=\sqrt[3]{{5^3}}  = 5

To find the correct expression for the above simplified expression.

Option A: \frac{\sqrt[3]{4 x}}{5}

5 can be written as \sqrt[3]{125}.

$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }

       $=\sqrt[3]{\frac{4x}{125} }

It is not the given simplified expression.

Option B: \frac{\sqrt[3]{20 x}}{5}

$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }

         $=\sqrt[3]{\frac{20x}{125} }

Cancel the common factor in both numerator and denominator.

         $=\sqrt[3]{\frac{4x}{25} }

It is not the given simplified expression.

Option C: \frac{\sqrt[3]{100 x}}{5}

$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }

           $=\sqrt[3]{\frac{100x}{125} }

Cancel the common factor in both numerator and denominator.

           $=\sqrt[3]{\frac{4 x}{5}}

It is the given simplified expression.

Option D: \frac{\sqrt[3]{100 x}}{125}

$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}

It is not the given simplified expression.

Hence Option C is the correct answer.

$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}

3 0
3 years ago
Other questions:
  • Whats the relationship between fractions and decimals?
    12·2 answers
  • Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$.
    15·1 answer
  • Which could be the area of one face of the rectangular prism select three options
    12·2 answers
  • Roger ran 8 laps around a 1/4 mile track during PE on Monday. How many feet did Roger run in completing eight laps?
    10·2 answers
  • 3/6 is equivalent to
    9·1 answer
  • Banks provide a number of services including all of the following except __________.
    12·1 answer
  • How do i factor equations?
    12·1 answer
  • Number line project
    7·1 answer
  • Find the value using x
    15·1 answer
  • The Key Club is hosting a banquet as a fundraiser. If 60 people attend, they make $500. If 80 people attend, they make $1500. Wr
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!