To calculate amount accrued after a given period of time we use the compound interest formula: A= P(1+r/100)∧n where A i the amount, P is the principal amount, r is the rate of interest and n is the interest period.
In the first part; A= $ 675.54, r= 1.25% (compounded semi-annually) and n =22 ( 11 years ), hence, 675.54 = P( 1.0125)∧22
= 675.54= 1.314P
P= $ 514.109 , therefore the principal amount was $ 514 (to nearest dollar)
Part 2
principal amount (p)= $ 541, rate (r) = 1.2 % (compounded twice a year thus rate for one half will be 2.4/2) and the interest period (n)= 34 (17 years×2)
Amount= 541 (1.012)∧34
= 541 ×1.5
= $ 811.5
Therefore, the account balance after $ 811.5.
Answer: 112.5
Step-by-step explanation:
The question really is asking whats 45% of 250
1. Calculate 10% of the total
2. Calculate 5% of the total
3. Solve for 40% of the total
4. Add 5% of the total
1. 10% of 250
250 = 100%
*divide both sides by 10*
25 = 10%
2. 5% of 250
25 = 10%
*divide both sides by 2*
12.5 = 5%
3. 40% of 250
10% + 10% + 10% + 10% = 40%
25 + 25 + 25 + 25 = 40%
50 + 50 = 40%
100 = 40%
4. 45% of 250
100 = 40%
12.5 = 5%
100 + 12.5 = 40% + 5%
<em>112.5 = 45%</em>
Answer:
- cos(A) = 3/5
- cos(B) = 0
- cos(C) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
<h3>Angle A</h3>
In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
<h3>Angle B</h3>
The right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
<h3>Angle C</h3>
The side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
F = 1/2(r + 6.5)
2f = r + 6.5
r = 2f - 6.5
A.)
The equation for AAA packages plus would be .25x+5
The equation for United packages would be
.35x+2
B.) his package would need to be 30 ounces for them to be the same price
