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snow_tiger [21]

2 years ago

8

Jared is 10 years old, and Peter is 15 years old. Together, they run 150 yards. How far does each brother run. if a brother is t

wice the age they run 2 times as far

1 answer:

Andreas93 [3]2 years ago

8 0

Jared can run 75 yards and Peter can run 125 yards

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Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal

lara [203]

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years $= x(1+0.05)^{2}\cdots(i)$

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years $= (82000-x)(1+0.05)^{3}\cdots(ii)$

As both the amounts are equal, so from equation (i) and (ii)

$x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\$

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

4 0

2 years ago

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

just olya [345]

Answer:

The correct option is

The origin is included in the shaded region and the shaded area is below the line.

Step-by-step explanation:

Y>3/2x + 2

Put x=0

Y= 2

(0,2)

Put y=0

X= -4/3

(-4/3,0)

See attached picture for the sketch

3 0

3 years ago

Hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-

Hitman42 [59]

This is the distributive property:

<em>ab</em> + <em>ac</em> = <em>a</em> (<em>b</em> + <em>c</em>)

In this case, you have

<em>a</em> - <em>a</em> (1.2⁴)

and <em>a</em> is a common factor to both <em>a</em> and <em>a</em> (1.2)⁴, so you can pull it out as

<em>a</em> (1 - 1.2⁴)

6 0

2 years ago

Mo puts $1,600.00 into savings bonds that pay a simple interest rate of 3.5%. How much money will the bonds be worth at the end

BabaBlast [244]

18.5 I think so if not then sorry

5 0

3 years ago

4a - 7 = 5 <br> What is the answer 2 step equation

Alex777 [14]

Answer:

A= 3

Step-by-step explanation:

4a - 7 = 5

move the constant to the right

4a= 5+7

divide

4a=12

Awnser:

A= 3

3 0

2 years ago