All categories

2 years ago

£864.00 to be accrued after £800 is invested with 2% pa simple interest.

Mathematics

1 answer:

Vsevolod [243]2 years ago

6 0

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

You might be interested in

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponenti

melomori [17]

Answer:

a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

b) Capacity of 252.6 cubic feet per second

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).

This means that $m = 100, \mu = \frac{1}{100} = 0.01$

(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

We have that:

$P(X > x) = e^{-\mu x}$

This is P(X > 190). So

$P(X > 190) = e^{-0.01*190} = 0.1496$

0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?

This is x for which:

$P(X > x) = 0.08$

$e^{-0.01x} = 0.08$

$\ln{e^{-0.01x}} = \ln{0.08}$

$-0.01x = \ln{0.08}$

$x = -\frac{\ln{0.08}}{0.01}$

$x = 252.6$

Capacity of 252.6 cubic feet per second

5 0

2 years ago

If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?

N76 [4]

Answer:

$(f o g)(x) = 3x + \frac{2}{3}$

Step-by-step explanation:

We have the function $f(x) = x-\frac{1}{3}$ and we have the function $g(x) = 3x + 1$ . We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

$f(g(x)) = (g(x)) -\frac{1}{3}$

$f(g(x)) = (3x + 1) -\frac{1}{3}$

Simplifying, we obtain:

$(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}$

Finally. The composite function is:

$(f o g)(x) = 3x + \frac{2}{3}$

6 0

3 years ago

In a bag of jellybeans there are 6 purple jellybeans, 5 blue jellybeans, 3 yellow jellybeans, 2 green jellybeans, and 4 red jell

ikadub [295]

Answer:

9/10

Step-by-step explanation:

There are 20 and 2 green 20-2 is 18 so 18/20 simplified is also 9/10

7 0

2 years ago

Read 2 more answers

Lamar has drawn a triangle on his paper and has found the angle bisector of two of the sides. What figure can he inscribe in the

myrzilka [38]

A)circle bc the lines are intersecting each other

5 0

3 years ago

Read 2 more answers

Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?

saw5 [17]

Answer: x=1 or x=-3

Step-by-step explanation:

Quadratic formula is $-b+-\sqrt{b^{2}-4ac } /2$

a=1 b=2 c=-3

Substitute

$(-2+-\sqrt{2^{2}-4(1)(-3) }) /2\\(-2+-\sqrt{4+12}) /12\\(-2+-\sqrt{16}) /2\\(-2+-4) /2\\x=\frac{-2+4}{2} \\x=\frac{-2-4}{2} \\\\\\Simplify\\x=\frac{2}{2} \\\\x=\frac{-6}{2} \\\\Simplify\\x=1\\x=-3$

6 0

3 years ago