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3 years ago

Calculate the compound amount on rs 2000 for 3 years at the rate of 13% p.a

1 answer:

6 0

A=P(1+r%)ⁿ , where P is the initial capital, r, the interest rate and n, the # years

A = 2000(1+0.13)³
A = 2000(1.13)³
A = 2,885.79

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NEED THE ANSWER ASAP PLEASE

Goryan [66]

Answer:

x=6

Step-by-step explanation:

use trig identities

7 0

3 years ago

Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that fo

guapka [62]

Answer:

y = 0.019x - 7

32.9 therms

0.019 therms

1.9 therms

Step-by-step explanation:

Given the following :

X =size of house (sq ft)

Y = Amount of natural gas used

The general form of a some linear regression model :

y = ßx + a

Where ;

ß = slope or gradient

x = independent variable

y = predicted value

a = y- intercept value

(A)

If ß = slope of population regression line = 0.019

a = y intercept of population regression line = -7

The regression model could be expressed as :

y = 0.019x + (-7)

y = 0.019x - 7

(B)What is the mean value of gas usage for houses with 2100 sq ft of space?

Here x = 2100 sq ft ; Inputting the value of x into the regression equation:

y = 0.019x - 7

y = 0.019(2100) - 7

y = 39.9 - 7

y = 32.9 therms

C) What is the average change in usage associated with a 1 square foot increase in size?

Change in usage associated with change in size can be gotten from :

ßx, where, ß change in y with respect to x ;

x = 1 square foot

ß = 0.019

Change = 0.019*(1) = 0.019 therms

(d) What is the average change in usage associated with a 100 square feet increase in size?

ßx, where, ß change in y with respect to x ;

x = 100 square feet

ß = 0.019

Change = 0.019*(100) = 1.9 therms

6 0

3 years ago

Write each ratio statement as a fraction and reduce to lowest terms if possible:

qwelly [4]

The answers are:

18 to 24 = $\frac{18}{24} = \frac{3}{4}$

5 to 15 = $\frac{5}{15} = \frac{1}{3}$

14:42 = $\frac{14}{42} = \frac{1}{3}$

15 cents to 18 cents = $\frac{15}{18} = \frac{5}{6}$

Explanation:

To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are $\frac{18}{24}$ , $\frac{5}{15}$ , $\frac{14}{42}$ , and $\frac{15}{18}$ .

The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.

$\frac{18}{24}$ divide this by 6, which is equivalent to $\frac{3}{4}$

$\frac{5}{15}$ divide this by 5, which is equivalent to $\frac{1}{3}$

$\frac{14}{42}$ divide this by 14. which is equivalent to $\frac{1}{3}$

$\frac{15}{18}$ divide this by 3, which is equivalent to $\frac{5}{6}$

7 0

3 years ago

A crew of highway works paved 1/5 mile in 1/8 hour if they work at the same rate how much will they pave in one hour

Allushta [10]

Answer:

a 1.6 miles

Step-by-step explanation:

1/8 hour=7.5

60/7.5=8

1/5*8=1.6

4 0

3 years ago

How is the total price including sales tax calculated?

klasskru [66]

Answer:

Sales tax is calculated by multiplying the cost of a good or service by the appropriate sales tax rate The answer is B (purchase price) (percent sales tax); then d. (purchase price) (percent sales tax). Hope it helps!:)

8 0

3 years ago

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