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Anni [7]
3 years ago
12

What is the result when the number 15 is decreased by 6%?

Mathematics
2 answers:
Tasya [4]3 years ago
6 0

Answer:

It would be 14.1

Step-by-step explanation:

6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1

IrinaVladis [17]3 years ago
4 0

Answer:

It would be 14.1

Step-by-step explanation:

6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1

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You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% whats the sales tax
svp [43]

Answer:

11.18

Step-by-step explanation:

135.50 x .0825=11.18

6 0
3 years ago
Find the area of a circle with a diameter of 4.
Oliga [24]

area of circle =22/7×4=12.56

6 0
2 years ago
Read 2 more answers
Suppose a house costs $270,000 appreciates by 5% each year. In about how many years will the house be worth $350000?
Vikki [24]
350000 =  270000(1.05)^n

1.05)^n = 350000/270000 = 1.296296

n =  log 1.296296 / log 1.05 = 5.3 years answer
7 0
3 years ago
A football team of 11 players has a mean height of 1.83m. One player is injured and is replaced by a player of height 1.85m. The
trapecia [35]

Answer:

As the average has increased the height of the new player must be more then the height of the player which was injured.

The difference between the previous average and the new average is 0.01 m.

Therefore the average is increased by 0.01 m.

Therefore the total height of all the players is increased by 0.01*11=0.11 m

Therefore as the increase in the total height is made by the player with height 1.85 m,the height of the player who was injured is 1.85–0.11=1.74 m

The height of the player who was injured is 1.74 m

Step-by-step explanation:

7 0
1 year ago
How do find the general solution of sin7A=sinA+sin3A
const2013 [10]

Step-by-step answer:

Solve  

sin(7a) = sin(3a) + sin(a) ..................(1)

Let  

F(a)=sin(7a)-sin(3a)-sin(a)..................(2)

the equivalent problem to (1) is  

F(a)=0 ......................................(3)

F(a)

=sin(7a)-sin(3a)-sin(a)....apply trig sum identities

=sin(6a+a) - sin(3a) - sin(a)

=sin(6a)cos(a)+cos(6a)sin(a) -sin(3a) - sin(a)

apply double angle formulas

=(2sin(3a)cos(3a))cos(a) +

(cos^2(3a)-sin^2(3a))sin(a) -sin(3a) - sin(a)

simplify using sin^2(p)+cos^2(p) = 1

= (2sin(3a)cos(3a))cos(a) +

(1-2sin^2(3a))sin(a) - sin(3a) - sin(a)

simplify algebraically, note 1*sin(a) cancels sin(a)

= (2sin(3a)cos(3a))cos(a) -2sin^2(3a)sin(a) - sin(3a)

factor out sin(3a)

= sin(3a)(2cos(3a)cos(a)-2sin(3a)sin(a) - 1)

now use trig sum formula to reduce to cos(4a)

= sin(3a)(2cos(4a)-1)

So

F(a) = 0   if sin(3a) =0 ...................(4)

or

F(a) = 0   if cos(4a) = 1/2 ................(5)

using the zero product theorem

From (4)

sin(3a) = 0  

3a = sin-1(0) = n*pi

a = n*pi/3  ................................(6)

From (5)

cos(4a) = 1/2

4a = cos^-1(1/2) = 2n*pi +/- pi/3

a = (2n+1/3)pi/4 or (2n-1/3)pi/4............(7)

Combine (6) and (7) to give the general solution

a = n*pi/3 or (2n+1/3)pi/4 or (2n-1/3)pi/4 .....(8)

For checking, use your calculator to substitute every solution given in (8) into the function F(a) in equation (1) to confirm that the result is almost equality.  The small difference will be due to rounding errors of the calculators.  On mine, they work out to be of the order of +/- 10^-15.

6 0
3 years ago
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