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Dahasolnce [82]
3 years ago
10

Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest r

ate. How much will she have paid in interest after 8 months?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer: $200

Step-by-step explanation

Principal = $2000

Rate = 15%

Time = 8 months = 8/12 = 2/3 years

Interest = Principal × Rate × Time

= 2000 × 15% × 2/3

= 2000 × 15/100 × 2/3

= $200

The interest is $200

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Length width and height is 3 units
weqwewe [10]

Answer:

just three units no other numbers?

Step-by-step explanation:

5 0
3 years ago
A cash box contains $74 made up of quarters, half-dollars, and one-dollar
Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

0.25q+0.50h+1.00d=74

\displaystyle{h=\frac{3}{5}d+1}

q=4(d+h)

Then, substitute <em>q</em> in the first equation with the expression from the third equation:

0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74

Next, substitute <em>h</em> in that equation with the expression from the second equation:

\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}

2d+0.9d+1.5=74\\2.9d+1.5=74

Solve for <em>d</em>, the number of one-dollar coins:

2.9d+1.5=74\\2.9d=72.5\\d=25

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{h=\frac{3}{5}(25)+1}

h=15+1\\h=16

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164

Then, verify that the coins total $74:

0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{16=\frac{3}{5}(25)+1}

16 = 15 + 1\\16 = 16\\\text{Check.}

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}

6 0
3 years ago
When evaluating (6x+9)^2 - 5 for x = 1, the given value of 1 is substituted for what part of the expression?
Naya [18.7K]
The correct answer would be C. The variable
5 0
3 years ago
Read 2 more answers
Find the distance between the two numbers on a number line. Write your answer as a mixed number.
solong [7]

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

so

Distance between the numbers:

\left|-212-\left(-534\right)\right|

Apply rule: -(-a) = a

=\left|-212+534\right|

=\left|322\right|

Apply absolute rule:   \left|a\right|=a,\:a\ge 0

=322

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

4 0
3 years ago
If x = -3 calculate the value of: x3 + x
lisabon 2012 [21]
3x+x=y
3(-3)+(-3)=y
-9-3=y
-12=y

Therefore the value of x3+x is -12

7 0
3 years ago
Read 2 more answers
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