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
yKpoI14uk [10]
3 years ago
9

Camille invested money into an account that earned annual simple interest with a rate of 6.5%. She made no additional deposits o

r withdrawals, and after 9 years she had earned $1,755 in interest. What was the amount of Camille's initial investment ?
Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

$30341.88

Step-by-step explanation:

Because it says simple interest, use the formula I = Prt.

(I is interest, r is the % rate as a decimal, t is the time)

So, you have to solve the equation,

1755 = P (0.065)(9)

Since 0.065 x 9 = 0.585, the equation can be simplified to

1755 = 0.585P

Then, to get P, you divide both sides by 0.585

P = 1755/0.585 = $30341.88

You might be interested in
Question 15 of 20
grandymaker [24]

Answer: 3 inches

Step-by-step explanation:

4 0
2 years ago
The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle
ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is 2w+6.

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

A=w(2w+6)

We can also substitute 40 in for A as it's given in the question.

40 = w(2w+6)

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

40 = 2w^2+6w

We can make the equation simpler by dividing both sides by 2.

20 = w^2+3w

Subtracting both sides by 20 will make the left-hand side 0.

0=w^2+3w-20

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

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

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}

w= \frac{-3\pm\sqrt{9+80}}{2}

w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}

Since the second solution results in a negative number, it cannot be the length of w.

w=\frac{-3+\sqrt{89}}{2}\approx3.217

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

l=2(3.217)+6

l=12.434

The length of this rectangle is 12.434 cm.

6 0
1 year ago
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
polet [3.4K]

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

3 0
2 years ago
Read 2 more answers
Erify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if an
zhannawk [14.2K]

The function

... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)

is symmetrical about the line y=x, hence is its own inverse.


We can evaluate the desired derivative directly.

... f'(x) -3/(x-1)²

so f'(2) is

... f'(2) = -3/(2-1)²


(f^{-1})(2)=-3

8 0
3 years ago
What is the amount of money p that will generate $40 in interest at a 10$ interest over 5 years
-BARSIC- [3]
If i read this correctly it should be $90. 10x5= $50 and that plus $40 equals $90 altogether
6 0
3 years ago
Other questions:
  • PLZ HELP ME!!!!!!!!!!!!!!!!!!
    8·1 answer
  • The function is given by the formula f(x)=3x+2.
    12·1 answer
  • Tessa bought stock in a restaurant for $103.00. Her stock is now worth $126.69. What is the percentage increase of the value of
    10·1 answer
  • Given f(x) = 4x + 3 and f(x) = 27, what is x?
    12·1 answer
  • What is the mean for the set of data?
    6·1 answer
  • What is 4 1/2 times 4 2/3
    11·2 answers
  • Assignme 3.5.PS-16 : Question Help A shoe store uses a 50% markup for all of the shoes it sells. What would be the selling price
    5·1 answer
  • Sydney invests money in an account paying a simple interest of 5.2% per year. If no
    6·1 answer
  • Last year, Nahla opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5
    5·1 answer
  • The ratio of water and milk in a mixture is 2:3, what percent of water is mixed in the mixture?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!