Answer:
1. CI = P (1 + 
)^ n - P
CI = A - P
Where P is Principal
R is interest rate
n is number of years
2. a. Semi annually - four times in a year
b. Monthly - two times in a year
c. annually - once in a year
Step-by-step explanation:
1. Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .
i.e CI = Final period - Initial period
or CI = A - P
or CI = P(1+ ) ^n - P
2. (a) Semi annually
A = P (1 + 
)^ n × 4
(b) Monthly
A = P (1 + 
) ^ n × 2
(c) Annually
A = P (1 + ) ^ n
Answer:
The hypotenuse to the nearest tenth is 8.1
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Let a be the x leg and b be the y leg
a = 7 units
b= 4 units
7^2 + 4^2 = c^2
49+ 16 = c^2
65 = c^2
Take the square root of each side
sqrt(65) = sqrt(c^2)
8.062257748 =c
To the nearest tenth
8.1 =c
Answer: Angle A = 53.9 degrees
Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;
CosA = adjacent/hypotenuse
CosA = 10/17
CosA = 0.5882
By use of the calculator or table of values,
A = 53.97
Approximately to the nearest tenth,
A = 53.9 degrees
Answer:
<u>30 people </u>
Step-by-step explanation:
The question is as following:
Here are the ingredients for pineapple sherbet for 6 people
800g pineapple 4 egg whites 1/2 lemon 100g caster sugar
Dan makes pineapple sherbet he uses 2 1/2 lemons
work out how many people he makes pineapple sherbet for?
=======================================================
1/2 lemon needed for pineapple sherbet for 6 people
2 1/2 lemons needed for pineapple sherbet for <u>x</u> people
1/2 : 6 = 2 1/2 : x
∴ x = ( 6 * 2 1/2 ) ÷ (1/2)
x = 6 * 5/2 * 2 = 30 people
<u>So, he make the pineapple sherbet for 30 people </u>
Answer:
Each person shared 1/6 of the cake.
Step-by-step explanation:
3 people shared a half of a cake so it’s 1/2 divided by 3.
