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
emmasim [6.3K]
3 years ago
11

Madison received a share of $4230 for a fishing competition. She deposited it in the bank and left it for 3 years accumulating s

imple interest at 4.2%. Find her new balance in the bank after 3 years.
Mathematics
2 answers:
Elis [28]3 years ago
6 0

Answer:

$4785.68

Step-by-step explanation:

Original amount: <u>$</u><u>4</u><u>2</u><u>3</u><u>0</u>

Interest for 1 year: <u>4</u><u>.</u><u>2</u><u>%</u>

<em>First year;</em>

4230 + (4230 \times  \frac{4.2}{100})  \\  = 4230 + 177.66 \\  = 4407.66

<em>S</em><em>e</em><em>c</em><em>o</em><em>n</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>;</em>

4407.66 + (4407.66 \times  \frac{4.2}{100} ) \\  = 4407.66 + 185.12172 \\  = 4592.78172

<em>T</em><em>h</em><em>i</em><em>r</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em> </em><em>(</em><em>t</em><em>o</em><em>t</em><em>a</em><em>l</em><em> </em><em>b</em><em>a</em><em>l</em><em>a</em><em>n</em><em>c</em><em>e</em><em> </em><em>a</em><em>f</em><em>t</em><em>e</em><em>r</em><em> </em><em>3</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>s</em><em>)</em><em>;</em>

4592.78172 + (4592.78172 \times  \frac{4.2}{100} ) \\  = 4592.78172 + 192.89683224 \\  =4785.67855224

Round the number;

<em><u>$4785.68</u></em>

YOUR ANSWER hope this helps :))

Ket [755]3 years ago
3 0

Answer: 4785.68

Step-by-step explanation: simpler way

B = P x (1 + R)^t

P = Staring Amount

R = Interest Rate

T = Time

B = Balance

B = $4230 x (1 + 0.042)^T

You might be interested in
Mr. Harrison has $416 to spend on supplies for his classroom. He will buy a bookshelf and some books. The bookshelf costs $80. H
Studentka2010 [4]
X = bookshelf //// y = books
x + y = 416
416-80 = y4

336 = y4
336/4 = y
84 = y 

Mr. Harrison can buy 84 books
4 0
3 years ago
If I have a line that starts at the origin (0,0), and goes 13 meters at an angle of π/6 in the standard position (ie. 30° north
Klio2033 [76]

Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

<u>Step-by-step explanation:</u>

Here we have , If I have a line that starts at the origin (0,0), and goes 13 meters at an angle of π/6 in the standard position (i.e. 30° north of east) . We need yo find how far does it go in the y direction (north), and how far does it go in the x direction (east). Let's find out:

According to question we have a right angle triangle as :

Hypotenuse =13m\\x=\frac{\pi}{6} =30

x direction (east)

We know that ,

⇒ cosx = \frac{Base}{Hypotenuse}

⇒ cos30 = \frac{Base}{13}

⇒ \frac{\sqrt{3} }{2} = \frac{Base}{13}

⇒ Base=\frac{\sqrt{3}(13) }{2} m

⇒ Base=11.2583303m

y direction (North )

We know that ,

⇒ sinx = \frac{Perpendicular}{Hypotenuse}

⇒ sin30 = \frac{Perpendicular}{13}

⇒ \frac{1}{2} = \frac{Perpendicular}{13}

⇒ Perpendicular=7.5m

Therefore , Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

8 0
4 years ago
Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity
iris [78.8K]

Answer:

(a) 7.5 seconds

(b) The horizontal distance the package  travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

The initial vertical velocity of the object v₀_y = 0 m/s

The time it takes the package to strike the ground is found as follows;

0 = -16·t² + 0×t + 900

900 = 16·t²

t² = 900/16 = 62.25

t = √62.25 = 7.5 seconds

(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have

158 miles/hour = 231.7126 ft/s

The horizontal distance the package  covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package  travel during its descent = 1737.8 ft.

4 0
3 years ago
Given square ERTN, what is the length of NT ?
lesya [120]

Answer:

|NT| = 25

Step-by-step explanation:

The four sides of this square all have the same length.  Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5.  The length of NT is 5(x), or |NT| = 25.

7 0
2 years ago
As a reward for achieving their goals, all students in the ninth grade are invited to an ice cream party.
Arlecino [84]

Answer:

The expression that represents the estimated cost for the party is T=s×i

Step-by-step explanation:

1) We can get an estimated cost for the party by using the following expression:

T=s×i

where:

T: total cost of the ice cream party ($)

s: number of ninth students (person)

i: unit cost of ice cream ($/person)

2) If we choose the letter "s", it can take whole number values.

For example: s={1,2,3,4,5,...,25}

If we choose the letter "i", it can take rational values (sometimes the price of the items are not expresed as a whole number).

For example: s={1.25,2.50,3.00,4.75,5.00}

6 0
3 years ago
Other questions:
  • What is the exact value of the expression the square root of 294. − the square root of 24. + the square root 54.? Simplify if po
    7·1 answer
  • Which list shows the numbers in order from least to greatest?
    9·2 answers
  • Can someone please help me?
    7·1 answer
  • What is the percent between 4 and 3.80
    15·1 answer
  • Which table shows a linear function?
    10·1 answer
  • A bird flew 20 miles in 100 minutes at constant speed. At that speed: (a) how long would it take the bird to fly 6 miles? (b) Ho
    5·1 answer
  • What is 300 x 10 to the power of 5 in proper standard form?
    13·2 answers
  • The sum of 3 times a number and 5 is equal to 9.
    5·2 answers
  • H(x) = 12 - 5x<br> p(x) = 2x<br> Find (h+g)(x)
    6·1 answer
  • Cuánto es 7b + 2=23??
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!