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
mina [271]
3 years ago
13

If P dollars are invested today at an annual interest rater compounded once a year, then the value of the account A after 2 year

s is given by the formula A - P(1 + r)? Find the rate of interest required
to turn an investment of $1900 into $2200 after 2 years
***
Mathematics
1 answer:
Molodets [167]3 years ago
3 0

9514 1404 393

Answer:

  about 7.61%

Step-by-step explanation:

Put the given numbers into the formula and solve for r.

  2200 = 1900(1 +r)^2

  √(22/19) = 1 +r

  r = √(22/19) -1 ≈ 0.076055 ≈ 7.61%

You might be interested in
I need help....................
inysia [295]
10-200

12-240

15-300

21-420
3 0
3 years ago
a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop
Ray Of Light [21]
The width of the laptop is 6 inches long.
5 0
3 years ago
If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =
Wittaler [7]

Answer:

y=32

Step-by-step explanation:

cross multiply

36/4 *144/y

144*8/36

=1152/36

y=32

8 0
3 years ago
Help please
nika2105 [10]

Answer:

The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Step-by-step explanation:

Consider the provided number line.

From the number line we can observed that:

1) A, B, C and D lies between -1 and 0.

2) Point A and B lies between -1 and -0.5

3) Point C and D lies between -0.5 and 0

Therefore, the value of A and B must have a negative value lying between -1 and -0.5

Also, the value of C and D must have a negative value lying between -0.5 and 0.

Now consider the provided options.

Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16

This is Incorrect representation because the value of A and B should lying between -1 and -0.5.

Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

A = -0.7\\B = -\displaystyle\frac{9}{16} = -0.5625\\C = -0.4\\D = -\frac{5}{16} = -0.3125

Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.

Also they are in ascending order from -1 to 0.

Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

3 0
3 years ago
A line segment has endpoints (-2,-3) and (4,4). Find the length of the segment and find the midpoint.
uysha [10]
\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -3~) 
%  (c,d)
&&(~ 4 &,& 4~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[4-(-2)]^2+[4-(-3)]^2}\implies d=\sqrt{(4+2)^2+(4+3)^2}
\\\\\\
d=\sqrt{36+49}\implies \boxed{d=\sqrt{85}}\\\\
-------------------------------

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -3~) 
%  (c,d)
&&(~ 4 &,& 4~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{4-2}{2}~~,~~\cfrac{4-3}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{1}{2}  \right)\implies \boxed{\left(1~,~\frac{1}{2}  \right)}
5 0
4 years ago
Other questions:
  • According to the report “Population Distribution and Change: 2000 to 2010” from the U.S. Census Bureau, the U.S. population incr
    13·2 answers
  • Which is true about the line whose equation is y + 3 = 0?
    15·2 answers
  • Solve the equation x/5 =9
    10·2 answers
  • X/-2 + 6 < 9 Solve for x.
    14·2 answers
  • The velocity of a turtle is recorded at 1 minute intervals (in meters per second). Use the right-endpoint approximation to estim
    11·1 answer
  • The interior angle measures of a convex pentagon are consecutive multiples of 4. find the measure of each interior angle.
    8·1 answer
  • How many inches are in 4 feet 3 inches?
    6·2 answers
  • 1<br>Prove that<br>1: sin/1-cot + cos/1-tan=cos+sin​
    12·1 answer
  • Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?
    14·1 answer
  • What ratio is equavelent to 5:4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!