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Trava [24]
3 years ago
9

You invest $2,600 in an account that

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

$3,927.53

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First change 8.25% to its decimal form:

8.25% -> \frac{8.25}{100} -> 0.0825

Next, plug in the values into the equation:

A=2,600e^{0.0825(5)}

A=3,927.53

The balance of the account after 5 years will be $3,927.53

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Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is
BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0
3 years ago
Find the equation of the line that passes through (9,-4) and (-1,-8).
Xelga [282]

Answer:

y =  \frac{2}{5} x - 7 \frac{3}{5}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the gradient and c is the y-intercept.

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Gradient

=  \frac{ - 4 - ( - 8)}{9 - ( - 1)}

=  \frac{ - 4 + 8}{9 + 1}

=  \frac{4}{10}

=  \frac{2}{5}

Substitute the value of the gradient into the equation:

y =  \frac{2}{5} x + c

To find the value of the y-intercept, substitute a pair of coordinates.

When x= -1, y= -8,

- 8 =  \frac{2}{5} ( - 1) + c

- 8 =  -  \frac{2}{5}  + c

c =  - 8 +  \frac{2}{5}

c =  - 7 \frac{3}{5}

Thus the equation of the line is y =   \frac{2}{5} x - 7 \frac{3}{5}.

7 0
3 years ago
WILL BRAINLIEST IF ANSWER IS RIGHT!!!!!!!!!!!!!!!!!!!!!! PLEASE HELP!!!!!! 50-100 POINTS!!!!!!!!
zzz [600]

Answer:

241 tons

Step-by-step explanation:

312-170=142

142÷2=71

170+71=241

241+71=312

train B weighs 241 tons

3 0
3 years ago
Read 2 more answers
A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the ya
Veronika [31]
The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
                               A = (L)(L-4)   ; 96 = L(L - 4)    ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
                                           P = 2 x (L + W)

Substituting the values of L and W
 
                                           P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft. 




6 0
3 years ago
The area of a rectangle is 27ft^2, and the length of the rectangle is 3ft less than twice the width. find the dimensions of the
Elanso [62]
The answer is 4.5.

The formula for a rectangle is A = lw. Substitute the formula, so it'll be 27 = (2x - 3) * x. Evaluate the formula.

Hope this helps you! And rate me to see if I did it right. Thanks!
3 0
3 years ago
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