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2 years ago

Find the amount at 6% simple interest of rs 1200 due in 9 month

Mathematics

1 answer:

ANTONII [103]2 years ago

5 0

STEP 1: Convert interest rate of 2% per 6 months into rate per year.

rate per year = rate per 6 month⋅2=2%⋅2=4%

STEP 2: Convert 9 months into years.

9 months =

years=0.75 years

STEP 3: Find principal by using the formula

I=P⋅i⋅t

, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $15, i = 4% and t = 0.75 years, so

=P⋅i⋅t

i⋅t

0.04⋅0.75

=500

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Solve for x: 5/8=x-1/9<br><br> A. 37/8<br> B. 23/4<br> C. 11/2<br> D. 53/8

Vesna [10]

Answer:

53/72

Step-by-step explanation:

5/8 = x - 1/9

+1/9 +1/9

5/8 + 1/9 = x

9(5/8) + 8(1/9)

45/72 + 8/72

x= 53/72

8 0

2 years ago

A truck is carrying pear juice, pineapple juice, and grapefruit juice bottles in a ratio of

sweet [91]

Answer:

120

Step-by-step explanation:

We let N be such that

9N = number pear juice bottles,

1N = number of pineapple juice bottles,

2N = number of grapefruit juice bottles.

Then, 20 = 2N, so that N = 10, and

The total number of juice bottles =

9N+1N+2N =

9(10)+1(10)+2(10)=

90+10+20=120

6 0

2 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0

2 years ago

1. Indicate whether the number is divisible by 2, by 3, or by 5.(Note: Some numbers may be divisible by more than one of these n

aleksklad [387]

a.2,3,5 450/2=225 450/3=150 450/5=90

b.none

c.2 only 18,652/2=9,326

d.5 only 455/5=91

a.3 and 5

b.3 and 7

c.19

d.7 and 21

a.30

b.18

c.24

d.30

3 0

3 years ago

How are dilations and functions related?

Anika [276]

If we dialate a function we are just changing what the graph looks like by a stretch or a compression, the function really doesn't change. If a function before the dilation, then it is a function after the dilation. The opposite is also true.

5 0

2 years ago

Read 2 more answers