What is a unit period

The product of two number is 20 and the sum of square is 41 find the number

Marianna [84]

Let the two number is a and b

so,

product =ab=20

sum of square= $\bold{a^2+b^2=41 }$

Then,

$\bold{(a+b)^2=a^2+b^2+2ab }$

$\bold{ (a+b)^2=41+2×40 }$

$\bold{ (a+b)^2=81 }$

$\bold{a+b=\sqrt{81} }$

$\bold{a+b=9 }$ •••••••••(equation I)

Now,

$\bold{(a-b)^2=a^2+b^2-4ab }$

$\bold{ (a-b)^2=41-4×20 }$

$\bold{(a-b)^2=41-40 }$

$\bold{a-b=\sqrt{1} }$

$\bold{a-b=1 }$ ••••••••(equation II)

Now,combine the equation I and equation II

we,get

$\bold{a+b+a-b=9+1 }$

$\bold{a+\cancel{b}+a\cancel{-b}=10 }$

$\bold{ 2a=10 }$

$\bold{a=\dfrac{10}{2} }$

$\blue{\boxed{ a=5 }}$

Then,

put the value of a in equation II.

we get that,

$\bold{5-b=1 }$

$\bold{b+1=5 }$

$\bold{b=5-1 }$

$\bold{\boxed{\blue{b=4}} }$

so, 

The two number is 5 and 4.

6 0

3 years ago

Read 2 more answers

Students conducted the following experiment 24 times. They drew one card from a box with some red cards and some black cards, pu

laiz [17]

Answer:

it is d

Step-by-step explanation:

6 0

2 years ago

Orlando wants to borrow $3,000 for the purchase of a used car. he has to pay back the loan after 4 years. the two loan options a

gtnhenbr [62]

The amount in simple interest is $3624 and in compound interest is $3674 the difference is of $50. So he should choose Simple interest.

<h3>What is compound and simple interest?</h3>

Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

Here we have the principle is $3000 for 4 years at the rate of interest of 5.2%. Now we will calculate the total amount by simple interest and compounded annually.

By using Simple interest:-

$\rm SI=\dfrac{P\times T\times R}{100}=\dfrac{3000\times 4\times 5.2}{100}=624$

So the total amount will be =3000+624=$3624

By using the Compound interest formula:

$A=P(1+\dfrac{r}{n})^{nt}$

$A=3000(1+\dfrac{5.2}{1})^{4}$

$A=\$3674$

The difference between the two amounts will be =3764-3624=$50

Hence amount in simple interest is $3624 and in compound interest is $3674 the difference is of $50. So he should choose Simple interest.

To know more about Compound interest Follow

brainly.com/question/24924853

#SPJ1

7 0

2 years ago

A straight line passes through points (2, 12) and (3, 8). What is the equation of the line?

NeX [460]

Slope Formula:

m= Y2-Y1/X2-X1
m= 8-12 / 3-2
m= -4/ 1
m= -4

Therefore, the equation of the line is y=-4x+20

7 0

3 years ago

Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows

vlabodo [156]

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5 (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5 (2)

Multiply the first equation by 2.

8x + 6y = 47 (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

= 12.5 + 13.5

= 26

Hence, cost of 5 notebooks and 3 binders is $26.

4 0

3 years ago