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harina [27]
3 years ago
9

What will be the simple interest earned when you invest $1,000 for 3 years at 10 percent and the compound interest earned when y

ou invest the same sum for 2 years at 5 percent ? The simple interest earned when you invest $1,000 for 3 years at 10 % is $ . The interest compounded when you invest the same sum for 2 years at 5 % is $ .
Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer:

The simple interest earned when you invest $1,000 for 3 years at 10 % is $ <em><u>300</u></em> . The interest compounded when you invest the same sum for 2 years at 5 % is $ <em><u>331</u></em> .

Step-by-step explanation:

#Platofam

insens350 [35]3 years ago
4 0

Answer:

simple interest = $300

compound interest =$102.5

Step-by-step explanation:

Simple interest = P* T* R

P= principal, T= time, R= rate

P= $1000,  T= 3,  R = 0.1

simple interest = 1000 * 3 *0.1 = $300

compound interest = p[(1 + r)ⁿ - 1]

compound interest = 1000[(1 + 0.05)² - 1]

                                 =  1000[1.1025 - 1]

                                   = 1000 * 0.1025

                                   = $102.5

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The easiest way to solve this comparison without any unusual comparisons is to find a common denominator for the two fractions.

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Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5
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3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

8 0
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1) What is the difference between rigid and non rigid motion?
soldier1979 [14.2K]

Answer: Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease

Step-by-step explanation:

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So for the equation y=-10x+1:
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Answer:

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So, 9 cm on the map = 15 km

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