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3 years ago

Write the expression that shows "3 times the sixth power of ten."

Mathematics

2 answers:

KIM [24]3 years ago

8 0

3 x 10 (with a small 6 at the top right of the ten). Hope this helped

Black_prince [1.1K]3 years ago

3 0

Answer:

The required expression is 3 x 10⁶.

Step-by-step explanation:

Consider the provided statement.

We need to convert the statement to an expression.

“3 times the sixth power of ten.”

Times is same as multiplication.

So, 3 times of a number is 3 multiplied by the number.

Power means the exponent.

Now the sixth power of ten can be written as 10 raised to a power of 6. Here 6 is the exponent or power.

It also can be written as: 10⁶

So, the required expression is 3 x 10⁶.

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3 years ago

In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep

Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

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7 0

3 years ago

The perimeter of the rectangle below is 84 unit . Find the length side of XY

lesya [120]

Answer:

25 unit

Step-by-step explanation:

See attachment for the missing figure.

Assuming the complete question is:

Side UY = 4z-1

Side UV = 5z+3

Perimeter of rectangle is given by:

2UY+2UV=P

2(4z-1)+2(5z+3)=84

8z-2+10z+6=84

18z+4=84

18z = 84 -4 =>

18z = 80

z= 4.45 unit

Side UV = 5z+3 => 5(4.45) + 3

Side UV ≈ 25 unit

SInce, Side UV = Side XY

Side XY≈ 25 unit

5 0

3 years ago