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Svetradugi [14.3K]
3 years ago
8

Greta takes out a loan of $35,000 the rate of compound interest is 2% per month after 6 months she wants to pay off the loan and

the interest. a: how much must she pay altogether? b:how much of what she pays is interest . (with working out please)
Mathematics
1 answer:
zimovet [89]3 years ago
4 0
To solve this problem, we must use the Time Value of Money equation.

Future Value = Present Value * (1 + interest rate per month)^number of months

F = 35,000 * (1.02)^6 = 39,415.68

A. She will have to pay $39,415.68 altogether.

To find payment in interest, we must subtract the initial loan of $35,000 from $39,415.68

39,415.68 - 35,000 = 4,415.68

B. She will have to pay $4,415.68 in interest.


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Evan went to the park and saw four animals.
dsp73

Answer:

He saw <u>1 duck</u> and <u>3 dogs</u>.

Step-by-step explanation:

Given:

Evan went to the park and saw four animals.

Each animal was either a duck or a dog.

He saw a total of 14 legs.

Now, to find the number of each animal he had seen.

Let the number of duck be x.

And the number of dog be y.

So, total number of animals:

x+y=4\\y=4-x

Now, the total number of legs he did see:

<em>As we know the legs of a duck are 2 and a dog are 4.</em>

2x+4y=14\\2x+4(4-x)=14\\2x+16-4x=14\\-2x+16=14

Adding both sides by -16 we get:

-2x=-2

Dividing both sides by -2 we get:

x=1

The number of duck = 1.

Now, putting the value of x in above equation we get:

y=4-x

y=4-1\\y=3.

The number of dogs = 3.

Therefore, he saw 1 duck and 3 dogs.

4 0
3 years ago
You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre
natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

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

Let,

Z(0, 5) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}

AB = \sqrt{(15)^2 + (0)^2}

AB = \sqrt{225 + 0} = \sqrt{225}

AB = 15

Distance between X(15, 20) and Y(15, 5):

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

Let,

X(15, 20) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}

XY = \sqrt{(0)^2 + (-15)^2}

XY = \sqrt{0 + 225} = \sqrt{225}

XY = 15

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0
3 years ago
Select the locations on the number line to plot the points _2 _11 and _17
bixtya [17]
17 points after 0, 11 points after 0, and 2 points after 0
3 0
3 years ago
Isis is 8 years younger than
meriva

Answer:

36

Step-by-step explanation:

3 0
2 years ago
Match each symbol to the appropriate definition. 1. 2. || 3. _I_ (an upside down letter T) a. is parallel to b. is perpendicular
Darina [25.2K]

the upside down T is always perpendicular so the answer is b. :)


5 0
3 years ago
Read 2 more answers
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