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Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years. Ho

satela [25.4K]

Answer: her interest in 3 years is $45

Step-by-step explanation:

For simple interest, the principal is not compounded. The interest is only on the original capital. The formula for simple interest is expressed as

I = PRT/100

Where

I represents the interest on the principal

P represents the initial amount

R represents the interest rate.

T represents the time in years.

From the information given

P = $300

R = 5%

T = 3 years

I = 300×5×3)/100

I = 4500/100 = 45

3 0

3 years ago

(1 point) Find the limit, if it exists, or type DNE if it does not exist. A. lim(x,y)→(0,0)(x+5y)2x2+25y2=lim(x,y)→(0,0)(x+5y)2x

statuscvo [17]

Answer:

A. DNE. The limit does not exist.

B. The limit is 0

Step-by-step explanation:

A. lim(x,y)→(0,0)[(x + 5y)/(2x² + 25y²)]

Along the x axis, y = 0, the limit becomes:

lim(x)→(0)[x/2x²]

= lim(x)→(0)[1/2x] = infinity

Along the y axis, x = 0, the limit becomes

lim(y)→(0)[5y/25y²]

= lim(y)→(0)[1/5y] = infinity

DNE

B. lim(x,y)→(0,0)[(2x³ + 7y³)/(x² + y²)

Putting x = rcosθ, and y = rsinθ, the limit becomes

lim(r)→(0)[(2r³cos³θ + 7r³sin³θ)/(r²cos²θ + r²sin²θ)]

Because cos²θ + sin²θ = 1, the limit becomes:

= lim(r)→(0)[r³(2cos³θ + 7sin³θ)/r²]

= lim(r)→(0)[r(2cos³θ + 7sin³θ)]

= 0

The limit is 0

4 0

3 years ago

A circle has a sector with area \dfrac{1}{2}\pi 2 1 πstart fraction, 1, divided by, 2, end fraction, pi and central angle of \

balu736 [363]

Answer:

Area of circle = 9π

Step-by-step explanation:

Area of sector = $\frac{1}{2} \pi$

Its central angle = $\frac{1}{9}\pi \text{ radians}$

$\text{Area of sector} = \dfrac{\text{Central angle}}{2\pi} \times\text{Area of circle}$

$\text{Area of circle} = \text{Area of sector}\times\dfrac{2\pi}{\text{Central angle}}$

$A = \dfrac{1}{2}\pi\times\dfrac{2\pi}{\frac{1}{9}\pi} = 9\pi$

8 0

3 years ago

Find the product of : (4sinθ + 3cosθ) (4sinθ – 3cosθ)

Pie

Step-by-step explanation:

hopefully the picture is clear and understandable.

:)

7 0

2 years ago

If 57 is added to a number, it will be 4 times as large as it was originally. Find the number.

Sonja [21]

Answer:

19

Step-by-step explanation:

X will refer to the number.

X+57( the number added to the original.)=4x. (x time 4)

X+57=4x.

Subtract x from both sides to get the variable on one side.

(X+57)-x =(4x)-x

57=3x. You would then divide by 3 on both sides to again get integer isolated.

57/3=3/3x.

57/3=19. 3/3=1.

19=x.

6 0

2 years ago