A tour bus travels 2160 miles in 36 hours. What is the average distance the bus travels in one hour?

Calculate the amount and compound interest on Rs 5000 compounded annually or 2 years 6 months at the rate of 10% per annum.

cluponka [151]

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

A = P(1 + r/n)^nt

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30

7 0

4 years ago

What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x A. B. C. D.

laiz [17]

Answer:

x=21/4

Step-by-step explanation:

1. combine like terms

-4+-7= -11 3x-2x=x

2. subtract x

5x-11=x+10

4x-11=10

3. add 11

4x=21

4. divide 21 by 4 = 21/4

8 0

3 years ago

What’s the answer to this

jeyben [28]

It is somewhere in between 7,4 and 4,8

5 0

3 years ago

What does the "+C" and the "dx" mean what are those?

oksian1 [2.3K]

Answer:

c means constant number

Step-by-step explanation:

plX make me brainliest

4 0

3 years ago

Suppose a computer manufacturer has the total cost function

S_A_V [24]

Answer:

(a) P(x) = 300 x - 3600

(b) P(340) = $ 98400

(c) At least 12 items must be sold to avoid losing money.

Step-by-step explanation:

Part (a):

The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:

P(x) = R(x) - C(x)

P(x) = 384 x - [84 x + 3600]

P(x) = 384 x - 84 x - 3600

P(x) = 300 x - 3600

Part (b):

The profit on 340 items is:

P(340) = 300 (340) - 3600

P(340) = 102000 - 3600

P(340) = $ 98400

Part (c):

To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:

P(x) $\geq$ 0

300 x -3600 $\geq$ 0

300 x $\geq$ 3600

x $\geq$ 3600/300

x $\geq$ 12

So at least 12 items must be sold to avoid losing money.

7 0

3 years ago