If $15,000 was invested in the account and it earned 10% compounded monthly, how much would be in the account after 20 years?

Find the mean, median, mode, and range for the set of numbers.

tatiyna

Answer:

mean: 19

median: 22

mode: 5

range: 30

Step-by-step explanation:

hope this helps :)

8 0

3 years ago

How do you find the area of a regular polygon?

Bogdan [553]

Each of the triangles are equal in base length, height, and area. Remember the formula for the area of a triangle. The area of any triangle is 1/2 times the length of the base (which, in the polygon, is the length of a side) multiplied by the height (which is the same as the apothem in regular polygon).

6 0

3 years ago

What is the value of x? Enter your answer in the box. x =

Montano1993 [528]

Answer:

x=9

Step-by-step explanation:

We have two similar triangles because both lines are parallel, use proportions to solve:

$\frac{72}{9} =\frac{56}{3x-20}\\8=\frac{56}{3x-20}\\8(3x-20)=56\\3x-20=7\\3x=27\\x=9$

4 0

3 years ago

Function p(x), shown below, is translated 10 units up to create function q(x).

natulia [17]

Answer: q(x) = 0.005(x - 40)² + 70

Step-by-step explanation:

f(x) = a(x - h)² + k where a is the vertical stretch and (h, k) is the vertex.

Which coordinate shifts the graph up? The y-coordinate for the vertex is k.

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 + 10

= 0.005(x - 40)² + 70

3 0

3 years ago

A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d

zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75 $x^{2}$

=1980 + 7.5x -3.75 $x^{2}$

=1980-3.75 (-2x+ $x^{2}$ ) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+ $x^{2}$ )

=1980 +3.75 -3.75( $x^{2}$ -2x +1)

=1983.75 -3.75 $(x-1)^{2}$ ---->(1)

as $(x-1)^{2}$ is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of $(x-1)^{2}$ = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0

3 years ago