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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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An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0
3 years ago
Hello:) anyone able to explain how to solve the equestrian for part (d) ? Thank youu
Anna007 [38]

Answer:

see explanation

Step-by-step explanation:

Given

4a^{4} - 5a² + 1 = 0

Use the substitution u = a², then equation is

4u²  - 5u + 1 = 0

Consider the product of the coefficient of the u² term and the constant term

product = 4 × 1 = 4 and sum = - 5

The factors are - 4 and - 1

Use these factors to split the u- term

4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )

4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term

(u - 1)(4u - 1) = 0

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

4u - 1 = 0 ⇒ 4u = 1 ⇒ u = \frac{1}{4}

Convert u back into terms of a, that is

a² = 1 ⇒ a = ± 1

a² = \frac{1}{4} ⇒ a = ± \frac{1}{2}

Solutions are a = ± 1 , a = ± \frac{1}{2}

7 0
3 years ago
The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a ci
iVinArrow [24]
Here I hope this helps you out

8 0
2 years ago
Read 2 more answers
HELP PLZ REALLY NEED HELP!!!!!!What is the product? ​ 0.478×(−0.2) ​ Enter your answer as a decimal in the box.
Whitepunk [10]
The product is 0.0956.
4 0
3 years ago
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PLZZZ HELP ASAP I NEED THIS IOO POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
erastovalidia [21]

Answer:

Number line graph with closed circle on 12 and shading to the right.

Explanation:

if you see Ezra needs $37 and if she has less than $12 then she will not have $37. she needs exactly $12 or more. The closed circle tells us that 12 is a answer and the shading to the right means more than 12.

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3 years ago
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