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
Leno4ka [110]
2 years ago
14

Gertrude makes a one time deposit of $1200 into an account that pays 7% annual interest compounded continuously. Assuming Gertru

de makes no additional deposits or withdraws. how much money would be in the account after 3 years? Round to the nearest penny.​
Mathematics
1 answer:
hammer [34]2 years ago
7 0

Answer:$14701

Step-by-step explanation:

1) at the end of the first year the account will be 1*(12 000)+0,07*(12 000)=1,07*12 000,

2) at the end of the second year 1*(1.07*12 000) + 0.07*(1.07*12 000) = 1.1449*12 000,

3) at the end of the third year 1*(1,1449*12 000) + 0.07*(1,1449*12 000) = 1.225*12 000 = 14,700.516 = 14701

Answer: $14701

You might be interested in
Which figure shows how a shape can be rotated about an axis to form a cylinder?
cluponka [151]

Answer:

the bottom right

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $5
zzz [600]

Answer:

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

b) Matrix AB = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) $12,695

Step-by-step explanation:

Matrix A = \left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

Gross Receipt = AB

\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right] . \left[\begin{array}{c}5\\7\\9\end{array}\right] = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

3 0
3 years ago
What are the roots of the equation? x^2+24=14×
defon
\begin{gathered} x^2+24=14x \\ x^2-14x+24=0 \end{gathered}

Therefore,

\begin{gathered} x^2-14x+24=0 \\ x^2-2x-12x+24=0 \\ x(x-2)-12(x-2)=0 \\ (x-2)(x-12)=0 \\ x=2 \\ or\text{ } \\ x=12 \end{gathered}

6 0
11 months ago
If the 9-inch wheel of cheese costs $18.60, what is the cost per square inch? If the cost is less than a dollar, put a zero to t
vagabundo [1.1K]

Find the area of the wheel:

Area of a circle is found using the formula:

Area = PI x r^2

9 inch would be the diameter, so the radius would be 9/2 = 4.5 inches.

The area would be 3.14 x 4.5^2 = 63.6 square inches.

Now divide the price by the area to get price per square inch:

Cost per square inch = 18.60 / 63.6 = $0.29 (rounded to the nearest cent)

5 0
3 years ago
Read 2 more answers
Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc
Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

 

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

 

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

<span>y = - 0.75 (x – 4)</span>

7 0
3 years ago
Other questions:
  • Huntsville population grows from 25,000 to 28,000. What is the percent increase in Huntsville population?
    12·1 answer
  • What is the point of intersection of the x-axis and the y-axis called?
    7·2 answers
  • Simplify each product and write each expression in standard form, show your work please
    12·1 answer
  • Please helppppppppppppppppppppppppppppppppppppppppppp
    11·2 answers
  • Please helpppp
    8·1 answer
  • The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
    13·2 answers
  • What is the value of z?
    13·1 answer
  • Please answer this the best you possible can :)
    7·2 answers
  • The price of n tickets to a concert is 8n + 9 dollars. What is the cost in dollars for 7 tickets to the concert
    14·1 answer
  • How much interest will you have in 6 months if you invest $1,000 at 3% compounded monthly? round your answer to the nearest penn
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!