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Anna007 [38]
3 years ago
13

A necklace contains twenty-four spherical beads of silver, each having a radius of 0.5cm. The beads are to be coated, and the co

st of coating is $10 per cm2. What is the approximate total cost, to the nearest cent, for coating the beads?
Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

$153

Step-by-step explanation:

To find the total cost, we have to calculate the area of one bead, then all of them:

Area of one bead = pi x r^2 = 3.14 x 0.5^2 = 3.14 x 0.25 = 0.765cm^2

Area of 20 beads = 0.765 x 20 = 15.3cm^2

Now, we are able to calculate the ultimate cost of coating:

If the cost is $10 per cm^2, then we have to find how much it costs to coat 15.3 cm^2.

15.3 x 10 = $153.

Hope this helps

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3 years ago
Solve cos^30- sin^30​
11Alexandr11 [23.1K]

Answer:

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Step-by-step explanation:

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3 years ago
What is 60= 3/4h i am doing BIM (Big ideas math online) i need help plz
crimeas [40]

<u>Answer: </u><em><u>h=80 is the final answer. *The answer must be have a positive sign.*</u></em>

Explanation:

<em><u>Switch sides of an equation.</u></em>

<em><u>3/4h=60</u></em>

<em><u>multiply by 4 both sides of an equation.</u></em>

<em><u>4*3/4h=60*4</u></em>

<em><u>simplify.</u></em>

<em><u>3h=240</u></em>

<em><u>divide by 3 both sides of an equation.</u></em>

<em><u>3h/3=240/3</u></em>

<em><u>simplify.</u></em>

<em><u>240/3=80</u></em>

<em><u>80*3=240</u></em>

<em><u>3*80=240</u></em>

<em><u>240/80=3</u></em>

<em><u>h=80</u></em>

<em><u>Hope this helps!</u></em>

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5 0
3 years ago
Read 2 more answers
Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been
poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

  For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

          M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]

  Where M is the monthly mortgage payment.

              P is the principal

              r is the monthly interest rate calculated by dividing your annual interest rate by 12

             n is the number of payments(the number of months you will be paying the loan).

 In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

   = 5.17%/2

   = 0.431%

  This is the new monthly  interest rate.

  Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

   300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r  = 0.431%

n = 300

             

 M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]

     = 231,905.47[\frac{0.00431(3.634)}{2.634}]

     = 231,905.47 × 0.005946

   M  = $1,378.91¢      

   Therefore her new monthly mortgage payment will become $1,378.91¢

4 0
3 years ago
Read 2 more answers
(-9,5); m=4 right and equation in point slope form of the line that passes through the given point and with the given slope M
NikAS [45]

Answer:

Slope form of line  y = 4x +41

Step-by-step explanation:

m= 4

The y-intercept of the line that passes through the given point  (-9,5) is

5 = 4(-9) + b

b= 5 +36

b=41

The equation of the line that passes through the given point  (-9,5) is

y =mx +b

 y = 4x +41

6 0
2 years ago
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