Answer:
36
Step-by-step explanation:
Answer:
the amount of interest = <u>405 000</u>
the amount she has to pay = 405 000 + 180000 = <u>585 000 </u>
Step-by-step explanation:
We make use the simple interest formula
PRT/100
P is the principle
R is the rate
T is the time
180 000 * 7.5 * 30
= 40 500 000 / 100
= 405 000
the amount of interest = <u>405 000</u>
the amount she has to pay = 405 000 + 180000 = <u>585 000 </u>
All are negative exponent property except for the top right one
The number of cakes Mrs Darby can decorate in a 30-hour week is 22.5 cakes.
<h3> Number of cakes to decorate</h3>
- Time taken to decorate a cake = 1 1/3 hours
- Total time for decoration per week = 30 hours
Time conversion
1 hour = 60 minutes
1 1/3 hours = 60 × 1 1/3
= 60 × 4/3
= 240/3
= 80 minutes
30 hours = 30 × 60
= 1800 minutes
Number of cakes decorated = 1800 / 80
= 22.5 cakes
Learn more about time taken:
brainly.com/question/25800303
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Answer:
The length of the string is 32.56 feet (Approx) .
Step-by-step explanation:
As given
A kite is 37 feet in the air and string forms an angle of 62 degrees .
Now by using the trignometric identity.
![sin\theta = \frac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D)
As shown in the figure given below.
![\theta = 62^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2062%5E%7B%5Ccirc%7D)
Perpendicular = AB
Hypotenuse = AC = 37 feet
Put in the identity .
![sin\ 62^{\circ} = \frac{AB}{AC}](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7BAC%7D)
![sin\ 62^{\circ} = \frac{AB}{37}](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7B37%7D)
![sin\ 62^{\circ} = 0.88\ (Approx)](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%200.88%5C%20%28Approx%29)
Put in the identity
![0.88 = \frac{AB}{37}](https://tex.z-dn.net/?f=0.88%20%3D%20%5Cfrac%7BAB%7D%7B37%7D)
AB = 0.88 × 37
AB = 32.56 feet (Approx)
Therefore the length of the string is 32.56 feet (Approx) .