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Black_prince [1.1K]
4 years ago
6

VN

Mathematics
1 answer:
navik [9.2K]4 years ago
6 0

Answer:

£2,121.8

Step-by-step explanation:

Given the following;

Principal P = £2000

Rate r = 3%

Time t = 2 years

n = 1 (time of compounding)

Using the compound interest formula;

A = P(1+r)^t

A = 2000(1+0.03)^2

A = 2000(1.03)^2

A = 2000(1.0609)

A = 2,121.8

hence the amount that will be in his account after 2 years is £2,121.8

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Solve and write solution in interval notation 4(x+1)+3>x-5
soldi70 [24.7K]

Answer:

\large\boxed{x\in\left(-\dfrac{13}{3},\ \infty\right)}

Step-by-step explanation:

4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-\dfrac{13}{3}\to x\in\left(-\dfrac{13}{3},\ \infty\right)

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3 years ago
Find the value of given expression<br><br>=》<br><img src="https://tex.z-dn.net/?f=32%20%2B%2032%20%20%5Cdiv%2032" id="TexFormula
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Answer:

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Step-by-step explanation:

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3 years ago
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Can a triangle have side measurements of 1, 4 and 5? Why or why not
Vladimir79 [104]

Answer:

A triangle cannot have side measurements of 1, 4 and 5.

As the sum of two sides i.e. '1+4' of a triangle is not greater than the measure of the third side i.e. '5'.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.

For example, a triangle ΔABC must follow the three conditions which are as follows:

  • A + B > C
  • B + C > A
  • A + C > B

For example, a triangle ΔABC with side lengths:

A = 1

B = 4

C = 5

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  • B + C > A    →   4 + 5 > 1      (TRUE)
  • A + C > B    →    1 + 5 > 4     (TRUE)

As the condition i.e. A + B > C    →   1 + 4 > 5  is not satisfied, as 1 + 4 > 5 is False.

Therefore, a triangle cannot have side measurements of 1, 4 and 5.

7 0
3 years ago
Point A is located at (2, -5). After it is translated, point A' is located at (-4, -5). What was the translation?
NeX [460]
The answer is:
6 units to the left
6 0
3 years ago
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