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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.

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Xy′ = √(1 − y2 ), y(1) = 0
Ulleksa [173]

Answer:

The particular solution is y=\sin (\ln|x|) .

Step-by-step explanation:

The given differential equation is

xy'=\sqrt {1-y^2}

It can be written as

x\frac{dy}{dx}=\sqrt {1-y^2}

Use variable separable method to solve the above equation.

\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx

Integrate both sides.

\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx

\sin^{-1} y=\ln|x|+C            .... (1)

It is given that y(1)=0. It means y=0 at x=1.

\sin (0)=\ln|1|+C

0=0+C

0=C

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

\sin^{-1} y=\ln|x|+0

Taking sin both sides.

y=\sin (\ln|x|)

Therefore the particular solution is y=\sin (\ln|x|) .

7 0
3 years ago
Molly bought a pair of gloves and a skirt.
Troyanec [42]

Answer:

U think it's 2.4

Step-by-step explanation:

.48 ÷by 4 =2

20% of 12=2.4

5 0
3 years ago
Please help with this math
Studentka2010 [4]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

4 0
3 years ago
Can one of y’all help me pls
swat32

Answer:

D) x - 7 + 3

Step-by-step explanation:

gave sister = subtract

aunt gave = addition

Equation:

x - 7 + 3

7 0
3 years ago
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