Answer:
292.50 dollars
Step-by-step explanation:
P = 650 is the the principal.
r = 0.09 is the interest rate in decimal form.
t = 5 is the number of years.
i = 650*0.09*5
i = 292.50 is the simple interest.
The early withdrawal fee on this account is $6.25
Step-by-step explanation:
Suppose you buy a CD for $1000
- It earns 2.5% APR and is compounded quarterly
- The CD matures in 5 years
- Assume that if funds are withdrawn before the CD matures, the early withdrawal fee is 3 months' interest
We need to find the early withdrawal fee on this account
∵ The annual interest is 2.5%
- Change it to decimal
∵ 2.5% = 2.5 ÷ 100 = 0.025
∴ The annual interest rate is 0.025
∵ The interest is compounded quarterly
∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625
∵ The early withdrawal fee is 3 months' interest
∵ You buy the CD for $1000
∵ A quarter year = 3 months
∴ The early withdrawal fee = 1000 × 0.00625 = $6.25
The early withdrawal fee on this account is $6.25
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Answer:
Other diagonal is 8 m
Step-by-step explanation:
area of rhombus = 72 m²
½ × diagonal 1 × diagonal 2 = 72
½ × 18 × d2 = 72
9 × d2 = 72
d2 = 72/9
d2 = 8
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
