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3 years ago

An $42 item was marked down by 50% what is the new cost of the item?

Mathematics

1 answer:

Nataly_w [17]3 years ago

7 0

Answer:

New Cost of item is $\$ 21$

Step-by-step explanation:

Given:

Original Cost of item = $\$ 42$

Item was marked down by $50\%$

To Calculate Cost after $50\%$ marked down we need to multiply original cost by 50 and then divide by hundred.

Cost after marked down = $\frac{42 \times 50}{100}= \$21$

Now New cost of the item is calculated by Subtracting Cost after $50\%$ marked down by Original Cost of item.

New cost of the item = $\$ 42 - \$ 21 = \$21$

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Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

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1 year ago

Help!!!!!!!!!!!!!!!!!!!

nalin [4]

no clue, man. sorry. i really wish i understood it so i could help you

3 0

3 years ago

2 x 10-6<br> times what number is equal to 6 x 10-4

Dahasolnce [82]

Answer:

times -6

Explanation... 2 x 10-6 x -6=56

6 x 10-4=56

Hope this helps

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3 years ago

The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.

SVETLANKA909090 [29]

Answer:

360

Step-by-step explanation:

You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.

You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.

Finally you will need 1 five

The smallest number divisible by all of these is 2*2*2*3*3*5 = 360

360/2 = 180 works
360/3 = 120 works
360/5 = 72 works
360/6 = 60 works
360/8 = 45 works
360/9 = 40 works.

There is no smaller number below 360 which will work.

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3 years ago

What is the distance between (1,-5) and (-3,6)

spin [16.1K]

Answer:

$\large\boxed{\sqrt{137}}$

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (1, -5) and (-3, 6). Substitute:

$d=\sqrt{(6-(-5))^2+(-3-1)^2}=\sqrt{11^2+(-4)^2}=\sqrt{121+16}=\sqrt{137}$

6 0

3 years ago