I need help with questions 13-16 PLEASE
2 answers:
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Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as then the equation relating them is
c = k ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k × = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75 ← equation of variation
When d = 324 , then
c = 1.75 × = 1.75 × 18 = 31.5
Answer:
a)$1628.90
b)$1647.00
c)$1648.72
Step-by-step explanation:
The question is on compound interest.
The formula to apply here is;
where
- P=principal /beginning amount
- r=interest rate as a decimal
- n=number of compoundings a year
- t=total number of years
a) If compounded annually, n=1
p=$1000, r=5%=0.05 t=10
Amount will be;
Amount=$1628.90
b) If compounded monthly, n=12
p=$1000, r=5%=0.05, t=10, n=12
Amount=$1647.00
c)If interest compounded continuously, it means the principal is earning interest constantly and the interest keeps earning on the interest earned.Here the formula to apply is;
A=Pe^rt where e is the mathematical constant e=2.71828182846
Hence the amount will be;
Amount=$1648.72