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Vesna [10]
3 years ago
15

The five interior angles in a  pentagon are in the ratio 2:3:4:5:6. What is the measure of the pentagon's largest angle?

Mathematics
1 answer:
zmey [24]3 years ago
5 0
Let All angles be x times multiplied to ratio , so we"ll get :-

2x + 3x + 4x + 5x + 6x = 540°

20x = 540

x = 540/20

⇒ x = 27 ,

so angles are :-

⇒ 2x = 2×27 = 54°

⇒ 3x = 3×27 = 81°

⇒ 4x = 4×27 = 108°

⇒ 5x = 5×27 = 135°

⇒ 6x = 6×27 = 162°

Hence 162° is the greatest angle
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The nominal rate on Sarah’s loan is 7. 250%. If the interest is compounded monthly, what rate of interest is Sarah actually pa
ella [17]

The correct statement is that Sarah is paying interest compounded monthly at the rate of 7.496%.. So, the correct option from the above statement is B.  

Compound interest can be calculated by the way of applying the values to the formula given in the information.  

<h3>Compound Interest</h3><h3 />
  • Compound interest is best defined with the terms as interest given on accrued interest or the accumulated interest in addition to the interest on the principalprincipal amount.

  • The formula to calculate Compounded interest is as below,

  • \rm Compounded\ Interest = 10000(1+ \dfrac {0.0725}{12})^1^2\\\\\\\rm Compounded\ Interest =10000(1+0.006)^1^2\\\\\\\rm Compounded\ Interest =10749.58\\

  • The interest to be paid is calculated as $749.58 assuming that the principal was $10000 and the time for such loan was 1 year in the absence of information.

 

  •  Calculating further, we can find that the effective rate of interest on such a loan is at the rate of 7.496%, which is rounded off to the nearest three decimal places.

Hence, the correct option is B that the actual interest paid by Sarah at the rate of 7.250% for the period of 1 year will be effectively 7.496%

 

To know more about compound interest, click the link below.

brainly.com/question/25857212

5 0
3 years ago
A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is
Cerrena [4.2K]

Answer:

<em>He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call

x = pounds of trail mix 5% raisins

y = pounds of trail mix 20% raisins

The distributor wants to make 1,000 pounds of trail mix, thus:

x + y = 1,000     [1]

The mix must be 8% raisings as a combination of x and y, thus:

5x + 20y = 8*1,000 = 8,000

Dividing by 5:

x + 4y = 1,600     [2]

Subtracting [2] and [1]:

4y - y = 1,600 - 1,000

Operating:

3y = 600

y = 200

From [1]

x = 1,000 - y = 1,000 - 200

x = 800

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

7 0
3 years ago
Read 2 more answers
8th grade math, pls explain if you can.
lianna [129]

Answer:

137.44 units^3

Step-by-step explanation:

6 0
3 years ago
In a lab experiment, 2000 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to do
Dafna1 [17]

Answer:

4,261

Step-by-step explanation:

after 23 hours, the number of bacteria =

4,000.

so, after 26 hours = 4,000+ (3/23 ×4000)

= 4,000 + 261 = 4,261

5 0
3 years ago
A city has a population of 350,000 people. Suppose that each year the population grows by 5.5%. What will the population be afte
Zolol [24]

Answer:

700,000

Step-by-step explanation:


4 0
3 years ago
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