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
iogann1982 [59]
3 years ago
11

A saving account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year,how

much money will be in the account three years after the initial deposit
Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

3(1.02(1200))

3.06(1200) = 3672

You will have $3672

julia-pushkina [17]3 years ago
5 0

Answer:

The balance after 3 years will be $3745.93.

Step-by-step explanation:

The rate of interest = 2% or 0.02

p = 1200

t = 3

n = 1

1st year:

Compound interest formula is :

p(1+r/n)^{nt}

= 1200(1+0.02/1)^{3}

= 1200(1.02)^{3}

= $1273.45

2nd year:

1200(1+0.02)^{2}

= 1200(1.02)^{2}

=$1248.48

3rd year:

1200(1+0.02)^{1}

= 1200(1.02)^{1}

=$1224

So, total amount will be = 1273.45+1248.48+1224=3745.93 dollars

The balance after 3 years will be $3745.93.

You might be interested in
HELPPPPPPPPPPP!!!!!!!!! Oh
Luba_88 [7]

Answer:

We conclude that:

3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}

Hence, option B is correct.

Step-by-step explanation:

Given the expression

3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}

solving

3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}

Scalar Multiplication: Multiply each of the matrix elements by a scalar

=\begin{pmatrix}3\cdot \:2\left(-2\right)&3\cdot \:2\cdot \:3&3\cdot \:2\cdot \:0\\ 3\cdot \:2\left(-4\right)&3\cdot \:2\cdot \:2&3\cdot \:2\cdot \:6\\ 3\cdot \:2\cdot \:6&3\cdot \:2\left(-5\right)&3\cdot \:2\cdot \:6\end{pmatrix}

Simplify each element

=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}

Therefore, we conclude that:

3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}

Hence, option B is correct.

5 0
3 years ago
Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
Read 2 more answers
In the equation, y = 0.007x, how many inches of rain falls in 6 minutes?<br>​
djverab [1.8K]

Answer:

X represents the value you can multiply with the slope to get the answer.

y = 0.007x

  = 0.007(6)

  = 0.042

Therefore, 0.042 inches of rain falls in 6 minutes.

7 0
3 years ago
Barton has 4 strawberries and Ona has 8. If they want to redistribute their strawberries so they each have an equal number, how
Tresset [83]

Answer:

2 strawberries

Step-by-step explanation:

Given that:

Number of strawberries :

Ona has 8

Barton has 4

For both Ona and Barton to have the same Nunber of strawberries :

(Ona + Barton) /2 = (8 + 4) / 2 = 12 /2 = 6

That means both Ona and Barton will have 6 strawberries each

Hence,

Barton who has 4 strawberries needs 2 more while Ona who has 8 will give out 2

Hence, Ona should give two strawberries to Barton.

7 0
3 years ago
Read 2 more answers
Which shows three ordered pairs that are all solutions of the equation y = x + 4?
svetoff [14.1K]
When x = 1, y = 1 + 4 = 5

When x = 3, y = 3 + 4 = 7
When x = 5, y = 5 + 4 = 9
When x = 7, y = 7 + 4 = 11

Therefore, the correct answer is option D.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes 2 poems by Shakespeare, 3
    7·1 answer
  • A triangle has an area of 230.86 square inches.The height of the triangle is 23.8 inches.What is the length of the base of the t
    15·1 answer
  • A student surveys 35 students at her school to see how many different states that have visited. The results are shown in the dot
    9·1 answer
  • If sin(x) 1/10 what is tangent(x)
    12·1 answer
  • Determine between which consecutive integers the real zeros of Ax) - 272 - 5x+1 are located.
    10·1 answer
  • What is 7/8 in decimal
    8·1 answer
  • A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
    11·1 answer
  • Given parallelogram CASE, CE = x + 23, and AS = 2x + 10, find CE
    14·1 answer
  • Solve the system of equations by substitution y=3x+5. y=5x7
    11·1 answer
  • What is the least common denominator of 6/7, 3/5 , and 1/4 is it
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!