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marin [14]
3 years ago
9

What is the area of the shaded region ​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

329.87 cm²

Step-by-step explanation:

pi × (11² - 4²)

105pi cm²

329.8672286 cm²

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
Read 2 more answers
if You flip an coin 200 times about how many times would you expect the coin to labd on tails what is the probality
harkovskaia [24]

Answer:

50% or 1/2

Step-by-step explanation:

The chance of a coin landing  on tails is always 50/50

6 0
3 years ago
An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle? ​
Alchen [17]

Answer:

One angle is 46° and the other angle is 44°

Step-by-step explanation:

Complementary angle means the angles add up to 90 so:

90 - 44 = 46

6 0
3 years ago
Convert 50 tons to pounds
Mrrafil [7]

Answer: 100,000 pounds

multiply the mass value by 2000

50×2,000=100,000

5 0
3 years ago
Read 2 more answers
In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X
Anika [276]

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

5 0
2 years ago
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