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jenyasd209 [6]
3 years ago
10

Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

13-13i

Step-by-step explanation:

2(5+i)-3i(5+i)

10+2i-15i-3i²

10-13i+3

13-13i

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Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years
Alinara [238K]

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

I=\dfrac{6000\times 6\times 4}{100}

I=60\times 6\times 4

I=1440

Now,

Amount=Principal+Interest

Amount=6000+1440

Amount=7440

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

7 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all
Marat540 [252]

Answer:

Step-by-step explanation:

15x-6y=48

-6y=48-15x

y=-8+(15/6)x

y=(5/2)x-8

3 0
3 years ago
Find the value of x please
VladimirAG [237]

Answer:

x= -8

Step-by-step explanation:

you combined the two equations to equal 180 since CIA are supplementary and the you solve the equation.

7 0
3 years ago
Stella is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1 5 of the sundaes are mint ice cream and 1 2 of the re
o-na [289]

Answer:

Vanilla = 10 sundaes

Step-by-step explanation:

Total sundaes = 25

1/5 of the sundaes are mint ice cream

Mint ice cream = 1/5 of 25

= 1/5 * 25

= 25/5

= 5

Sundaes remaining = total sundaes - sundaes for mint ice cream

= 25 - 5

= 20 sundaes

Sundaes remaining = 20 sundaes

1/2 of the remaining sundaes are chocolate

= 1/2 of 20

= 1/2 * 20

= 20/2

= 10

Chocolate ice cream = 10

The rest will be vanilla

Sundaes remaining = 20 - 10

= 10 sundaes

Vanilla = 10 sundaes

5 0
3 years ago
Max is 135 centimeters tall he is 18 centimeters taller than Rita Rita is 30 centimeters shorter than Jan how tall is jan.
tigry1 [53]
135 - 18 = 117 cm
Rita = 117 cm tall

117 cm + 30 = 147 cm

Jan is 147 cm tall.
5 0
4 years ago
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