Answer:
<h2>18mins</h2>
Step-by-step explanation:
This problem is on combined work rate
given that
Marta can vacuum the house in 30 min
then her rate= 1/30
Also, her daughter will take 45 min to vacuum the house
her daughter's rate will be = 1/45
then the combined work rate is
1/30+1/45=1/T
30+45/30*45=1/T
75/1350= 1/T
1/18=1/T
This means that they will both take 18 minutes working together to vacum a house
<span>The factors of 60 are 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1.The factors of 75 are 75, 25, 15, 5, 3, 1.<span>The common factors of 60 and 75 are 15, 5, 3, 1, intersecting the two sets above.</span><span>In the intersection factors of 60 ∩ factors of 75 the greatest element is 15.</span><span>Therefore, the greatest common factor of 60 and 75 is 15.
</span></span>
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Answer:
27.) -4
28.) 3
29.) -2
30.) -3
Step-by-step explanation:
Hope this helped!
Principal amount= $3,500.00
Annul interest rate= 3%
Numbers of years= n =20,
compounded semiannually
Solution:
Use the semiannual compounding period to express the effective semiannual rate which is 3%/2 = 1.5% per 6 month period.
Now there are n=2(no. of years) semiannual periods for given cash flow
n=2*20
n=40 semiannual periods
Now,
F=P( F/P,1.5%,40)
F=$3500(1.8140) , (1.8140 is the value get from table at 1.5% interest for n=40)
F=6,349.00 is the amount in bank after 20 years, compounded semiannually.
You can also do this problem by another method which is
first find the compound interest by using the formula
I=((1+i/n)^n)-1.........3
i=3%=0.03
n=20
So, by putting values in the above formula 3, you get
I=(1+0.03/20)^20-1
I=1.031-1
I=0.030403
I=3.043%
F=P(F/P,i%,n)
F=$3500(F/P,3.043,20)
When you use this interest( I )then you will need interpolation if the I value is not in the economics table
F=6,349.00
The answer will remain same as get by above method.
