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nordsb [41]
3 years ago
5

For question 6 what is that value of x? For question 7 find m

Mathematics
1 answer:
forsale [732]3 years ago
3 0

(6) Given that in ΔPQR, m∠P = (x+14)°, m∠Q = (6x-12)° and m∠R = (3x+8)°

We need to determine the value of x.

<u>Value of x:</u>

By triangle sum property, we have;

\angle P+\angle Q+\angle R=180^{\circ}

Substituting the values, we get;

x+14+6x-12+3x+8=180

                          10x+10=180

                                  10x=170

                                      x=17

Thus, the value of x is 17

(7) Given that ΔGHI, m∠G = (4x+13)°, m∠H = (8x-52)° and m∠I = (2x+4)°

We need to determine the measure of ∠G

<u>Value of x:</u>

By triangle sum property, we have;

\angle G+\angle H +\angle I=180

Substituting the values, we get;

4x+13+8x-5+2x+4=180

                          14x+12=180

                                  14x=168

                                      x=12

Thus, the value of x is 12.

<u>The measure of ∠G:</u>

Substituting x = 12 in m∠G = (4x+13)°, we get;

m\angle G=(4(12)+13)^{\circ}

m\angle G=(48+13)^{\circ}

m\angle G=61^{\circ}

Thus, the measure of angle G is 61°

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The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

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The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

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  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

∵ I = 325.7789254 - 200

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∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

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Step-by-step explanation:

<u>Explanation</u>:-

<u>Introduction</u>:-

The outcome of a statistical experiment may be recorded either as a numerical value or as a descriptive representation.

<u>Example</u>:-

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In particular study, the number of possible observations may be <u>small, large but finite or infinite.</u>

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