If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?

Answers

Answer 1

Answer:

$1101

Step-by-step explanation:

Given data

A= $1,172.60

R= 3.2 = 0.032

t= 2

The expression for compound interest is

A= P(1+r)^t

Substitute

1172.60=P(1+0.032)^2

1172.60=P(1.032)^2

1172.60=P1.065

Divide both sides by 1.065

1172.60/1.065= P

P=$1101

Hence the original amount is $1101


Related Questions

Find the area of the following shape:

Answers

9514 1404 393

Answer:

  77 in²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = (1/2)bh

For your triangle, with its base of 14 inches and height of 11 inches, the area is ...

  A (1/2)(14 in)(11 in) = 77 in²

_____

Additional comment

The side lengths added to the figure are incorrect. If we take the 11.5 to be correct, then the left side is about 15.3.

What is the distance between the points (21 , 11) and (4 , 11) in the coordinate plane?

Answers

The different is that 21 is going ALL the way down to 21 while 4 is only going to 4..

A. 100 degrees
B. 150 degrees
C. 33 degrees
D. 107 degrees
I need help with my exam

Answers

It’s 100 it can’t be 33 and it can’t be 150

(4,9) (2,6) (0,3) y intercept please ​

Answers

Hi there!

Hope this helps!

Coupd someone help me with this? (picture)​

Answers

Answer:

2x3 = 6

6x14 = ...

Step-by-step explanation:

All the solutions with a + in them are not applicable to this multiplication

1/2×-7=1/3(×-12) solve​

Answers

Answer:

X=18

Step-by-step explanation:

(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)

(1/2)*x-((1/3)*(x-12))-7 = 0

(-1/3)*(x-12)+(1/2)*x-7 = 0

x/2-1/3*(x-12)-7 = 0

(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0

x-1/3*2*(x-12)-7*2 = 0

1/3*x-14+8 = 0

1/3*x-6 = 0

(1/3*x-6)/2 = 0

(1/3*x-6)/2 = 0 // * 2

1/3*x-6 = 0

1/3*x-6 = 0 // + 6

1/3*x = 6 // : 1/3

x = 6/1/3

x = 18

can someone solve this for me please, i really need help

Answers

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer?

Answers

Answer:

$779.1

Step-by-step explanation:

Original price = $980

Michelle bought a computer that was 25% off the regular price of $980.

Amount Michelle bought it = 75% of $980 = 0.75 * 980 = $735

If a 6% sales tax was added to the cost of the computer,

Sales tax = 6% of $735 = 0.06 * 735 = $44.1

what was the total price Michelle paid for the computer?

Total Price = Amount Michelle bought it + Sales Tax

Total Price = $735 + $44.1 = $779.1

Answer:

Step-by-step explanation:

To calculate the total that will be paid we first need to calculate how much the computer cost with the discount applied. First, we need to turn the percentage into a decimal by dividing by 100.

25% /100 = 0.25

Now we multiply the regular price of the computer by the remainder of 1 minus 0.25

980 * (1 - 0.25) = $735

Now that we have the discounted price we need to multiply this by the sales tax in decimal form after adding 1 to the decimal.

6% / 100 = 0.06

735 * (1 + 0.06) = 779.10

Finally, we can see that the total price that Michelle paid for the computer is $779.10

Select all of the equations that are not functions.
A) y=x^2
B) x² + y^2=3
C) y=4
D) x=3

Answers

Answer:

B

Step-by-step explanation:

x² + y² = 3  creates a circle and circles are not functions because one x-value relates to two y-values instead of one

You start at the origin (0,0). Complete the following transformations and determine the final point.
• translate 2 units right and 3 units down
• reflect over the x-axis
• rotate 180° about the origin
• translate (x,y) → (x + 6,9 + 7)

Answers

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

Step-by-step explanation:

hope it helps

A class is made up of 50 boys, 25 girls,
What is the ratio of boys to girls.

Answers

Answer:

10 boys to 5 girls you got to divide

Step-by-step explanation:

you have to put 50 over 25 and simplify them by 5 and you get 10 boys to 5 girls I think.

  Class made up of 50 boys and 25 girls will have boys to girls ratio as 2 : 1

Calculations for the ratio of boys to girls:

Ratio of the boys to girls in a class can be evaluated by the expression,

Ratio = [tex]\frac{\text{Total number of boys}}{\text{Total number of girls}}[/tex]

Given in the question,

Number of boys = 50

Number of girls = 25

Substitute these numbers in the expression and simplify the fraction,

Raio = [tex]\frac{50}{25}[/tex]

        = [tex]\frac{2}{1}[/tex]

        = 2 : 1

   Therefore, ratio of boys to girls in the class is 2 : 1

Learn more to evaluate the ratio here,

https://brainly.com/question/14966195?referrer=searchResults

What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?

Answers

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

Pls help I’ll brainlest

Answers

-11 I’m pretty sure that’s correct

60% of what number is 33?

Answers

60 percent (calculated percentage %) of what number equals 33? Answer: 55.

Answer:

55 :)

Step-by-step explanation:

Round= 2.718281828459045 to the nearest thousand

Answers

Answer:

2.718

Step-by-step explanation:

2.718281828459045 to the nearest thousandths is 2.718

2/5 and 1/10 least common denominator

Answers

Your answer will be 10. This is because 5 is a factor of 10. Both 10 and 5 have 10 in common. So the LCD IS 10

Challenge ​, ​, and each went for a walk yesterday afternoon. walked
at a constant speed of
. walked
at a constant speed of
. walked for and at a constant speed of
. List the three people in order of the times they spent walking from least time to greatest time.

Answers

i went on a walk did you

The function f is defined by f(x) = 2x^2–5.
Find f (5x).

Answers

Answer: f(5x)=(50x^2)-5

Step-by-step explanation:

f(5x)=2(5x)^2-5

=2(25x^2)-5

=50x^2-5

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).

Answers

Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Two points are (5,40) and (0,10). So, the equation of trend line is

[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]

[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]

[tex]y-40=6(x-5)[/tex]

[tex]y-40=6x-30[/tex]

Adding 40 on both sides, we get

[tex]y=6x-30+40[/tex]

[tex]y=6x+10[/tex]

Therefore, the equation of trend line is [tex]y=6x+10[/tex].

distribute this: 3(9x+2)
have a lovely day my fellow earthlings <3

Answers

Answer:

27x + 6

Step-by-step explanation:

Distributive property of multiplication:

a(b + c) = ab + ac

Apply to the given expression:

3(9x+2) =3(9x) + 3(2) =27x + 6

Answer:

27x+6

Step-by-step explanation:

Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?


Group of answer choices


4/8


0


6/8


6/16

Answers

Answer:
4/8



Good luck

Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
9
10
-1
-20
-40
-60
-80
-100
- 120
-140
-160
-180
-200

Answers

Answer:

Sketch the graph of the function below, including correct signs, x-intercepts and y-

intercepts.

f(x) = (x + 2)²(x – 5)2

y

200

180

160

140

120

100

80

60

40

20

-10 9 8 7 6 5 4 3 2

1

2

3

5

6

7

what does one and sixty-three hundredths look like?

Answers

Answer:

1.630

Step-by-step explanation:

Jill's mother is 37 years old. Her age is three years more than twice Jill's age. What is
Jill's age?

Answers

37 times 2 is 74, 74 + 3 is 80 so the answer is 80

If you can buy 3 items for 9.00, how much will it cost for 5 items

Answers

Answer:

15.00

Step-by-step explanation:

since you buy 3 items for 9.00, then you can buy one item for 9.00/3 = 3.00

therefore, for 5 items, it will be

cost of one item * 5

which is, 3.00 * 5 = 15.00

you're welcome.....

5 items cost 15.00.

In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1

Answers

Answer:

I chose B. 3

Step-by-step explanation:

I chose B because the person is either staying still, not moving, or something of the sort.

A cylinder has a volume of 72 pi cubic inches. If the radius is 3 inches what is the height

Answers

Answer:

24

Step-by-step explanation:

common sense

can someone plz solve this 20/160 = x/220

Answers

Answer:

x=55/2 in fractions and 27.5 in decimals

Step-by-step explanation:

What is the slope, y-intercept and equation, marking Brainly .

Answers

Answer:

m=slope = 5

b=y intercept=-4

Step-by-step explanation:

Answer:

Slope=3/4, y-intercept=3.5, equation=y=3/4x+3.5

Step-by-step explanation:

Which number label represents the nucleus? O 5 3 O 2​

Answers

5, because that’s the center of the atom.
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