Answer:
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10
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Answer: 39 years, 10 months
Step-by-step explanation:
Here is the complete question:
Odessa deposited $1,347.80 into a savings account with an interest rate of 3.3% compounded monthly. About how long will it take for the account to be worth $5,000?
The formula for compound interest is:
= A=P(1+i)^n,
where
P =initial investment = $1347.80
i = interest rate = 3.3% = 0.033/12 = 0.00275
n = number of periods = Unknown = ?
A = amount after n-periods = $5000
We slot the values into the formula. This will be:
A=P(1+i)^n
5000=1347.80(1+.00275)^n
Divide both side by 1347.80
5000/1347.80 = (1.00275)^n
We then take the log of both sides. This will be:
log(5000/1347.80) = nlog(1.00275)
n=log(5000/1347.80)/log(1.00275)
n = 477 months approximately
= 477months/12
= 39 years, 10 months
27.5
22= K(8)
Divide 8 on both sides to get your K value
2.75 = K
Plug your K value into the other equation
Y= 2.75(10)
Solve to get Y
Y= 27.5
When the problem asks "vary directly", it is saying that you are multiplying your K value with your X value(K*X). If the problem is asks "vary indirectly", it is saying that you are dividing your K value by your X value (K/X)
Answer:
The, value x for the give problem is 20 units.
Step-by-step explanation:
Consider triangle ABC,
Now, from the attached figure
Given that
PQ || AB
CP = 8units
PA = 6 units
CQ = x = ? units.
QB = 15 units
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (8) / (6) = (x) / (15)
On applying cross multiplication then
⇛ 8(15) = x(6)
⇛ 120 = 6x
⇛ x = 120÷6
⇛ x = 120/6
Therefore, x = 20 units.
<u>Answer</u>: Hence, value of x is 20 units.
<u>Additional comment:</u>
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"
Please let me know if you have other questions.