Answer: 37
Step-by-step explanation: If you start your math by taking 48 and subtracting 7 you will get 41, this question says it the sum of both ages will be 48 in 7 years so subtract those to get 48. After, you can subtract 4 from 41 since that is just the sum of both ages, you take 41 and minus 4, your answer is 37 (sorry if its wrong but I think its most likely going to be correct)
Answer:
Step-by-step explanation:
So we have the limit:
Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:
Distribute:
Simplify the numerator:
Both the numerator and the denominator have an x. Cancel:
Direct substitution:
Simplify:
And that's our answer.
And we're done!
143o
interior angles of a triangle always add up to 180o
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375
To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870
The buying power lost will be the difference between your required interest and actual interest.
Thus:
Buying power lost=1870-1375=$495
