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3 years ago

Find the measure of QPR.. I need full explanation please

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Answer:

b) 42°

Step-by-step explanation:

When two triangles share the same base (in this case, side QR), one angle is half of the other one. In this case:

1/2*∠QPR = ∠QSR

From the picture,

∠QSR = 21°

Replacing into the equation and solving for ∠QPR:

∠QPR = 2*21° = 42°

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M^2/n^2 is equivalent to ____

Mkey [24]

M^2 × n^(-2) ........

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3 years ago

Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte

Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time( $T_{1}$ )=4 years

Time( $T_{2}$ )=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

$S.I=\frac{P\times R\times T}{100}$

$S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800$

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

$A=P*(1+\frac{R}{100})^t$

$A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60$

$A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286$

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years when interest is compounded annually=$ 9034(approx)

4 0

3 years ago

Read 2 more answers

1. From 1992 to 2007 the average home price increased by 8% per year. In 1992 Anita Bath

Anuta_ua [19.1K]

Answer:

Anita Bath's home was worth $ 593,195.62 in 2007.

Step-by-step explanation:

Given that from 1992 to 2007 the average home price increased by 8% per year, and in 1992 Anita Bath bought a house for $ 187,000, to determine what was it worth in 2007 the following calculation must be performed:

2007 - 1992 = 15

187000 x 1.08 ^ 15 = X

187000 x 3.172 = X

593,195.62 = X

Therefore, Anita Bath's home was worth $ 593,195.62 in 2007.

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3 years ago

Solve the equation shown for x. 2/3 x -4 1/2 = -8

liq [111]

The answer would be -5 1/4

4 0

2 years ago

Read 2 more answers

Please help on this one?

rodikova [14]

Answer:

$\large\boxed{A.\ \dfrac{4}{x-9}}$

Step-by-step explanation:

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4 0

2 years ago