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Arada [10]
3 years ago
14

Chester Boles reviewed his credit card's monthly statement. It shows a $2,376.10 previous balance and this month's new purchases

of $875.22, $65.75, $45.22, and $21.23. It also shows a $875.22 credit and a $45.30 finance charge. He also made the minimum payment of 2.5% of the previous balance. What is the new balance?
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Initial balance, I = $2376.10 .

Total amount of purchase made, A = $( 875.22+65.75+45.22+21.23 ) = $1007.42 .

Total amount credit, c = $875.22 .

Fine, f = $45.30 .

Another purchase, a=\dfrac{2376.10\times 2.5}{100}=\$ 59.4025 .

So, balance left is :

B = I - A - f - a + c

B = 2376.10 - 1007.42 - 45.30 - 59.4025 + 875.22

B = $2139.1975

Hence, this is the required solution.

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If point C partitions line segment AB in the ratio 1/4 in what ratio point C partitions BA
Art [367]

Answer:

4:1

Step-by-step explanation:

Because AB is the opposite of BA, you flip the fraction, to get 4/1, or 4:1

4 0
4 years ago
For the point P(21,19) and Q(28.24), find the distance d(P,Q) and the coordinates of the
neonofarm [45]

Answer:

1. √74; 2. (24.5, 21.5)

Step-by-step explanation:

1. Distance

You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.

Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).

Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 7^{2} + 5^{2}\\ & = & 49 + 25\\& = & 74\\PQ& = & \mathbf{\sqrt{74}}\\\end{array}\\\text{d(P,Q) = $\large \boxed{\mathbf{\sqrt{74}}}$}

2. Midpoint of line

The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.

For the x-coordinate, the half-way point is

(21 + 28)/2 = 49/2 = 24.5

For the y-coordinate,  the half-way point is

(19 +24)/2 = 43/2 = 21.5

The coordinates of the midpoint M are (24.5, 21.5).

5 0
4 years ago
Read 2 more answers
what is the volume of this triangular prism? the base is 12 ft the height is 6 ft and the bottom is 20 ft
eimsori [14]

Answer:

720 ft^3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help asap asap asap
Murljashka [212]

Answer:

1/27 cubic cm .also known as the first answer

Step-by-step explanation:

6 0
3 years ago
Can someone help with this question?
Mars2501 [29]

Answer:

y ≤ ¼x + 1

Step-by-step explanation:

Starting from the y-intercept of course, use rise\run until you hit another endpoint [finding the <em>rate</em><em> </em><em>of change</em> (<em>slope</em>)]. That means me we go up <em>north</em><em> </em>one block, then go over four blocks <em>east</em><em>,</em><em> </em>and since the slope is already simplified, we do not need to go any further. Now all we have left is to determine the correct inequality symbol, and since we know that the bottom portion of the graph is shared, we automatically know it is <em>less</em><em> </em><em>than</em><em>,</em><em> </em>but to check this, we need to do what is called a <em>zero-interval</em><em> </em><em>test</em><em> </em>[do not recall the actual term], meaning that we plug in 0 for both <em>y</em><em> </em>and <em>x</em><em>,</em><em> </em>getting 0 < 1, which is a GENUINE statement, so the bottom portion stays shaded, otherwise we would have had to shade the top portion if it were a false statement. Finally, we have to determine if we have to add an equivalence line under the inequality symbol, and we DO because as you can see, the line is SOLID BLACK. If it were DASHED BLACK, then it would stay "<" instead of "≤".

I am joyous to assist you anytime.

6 0
4 years ago
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