The applicable formula is;
A = P(1+r)^nt
Where
A = Accumulate amount
P = Initial invested amount
r = Annual interest rate
n = Number of payments in a year
t = Time in years
First part of the question: Accumulated amount after 18 years
Substituting;
A = 1000(1+0.01)^12*18 = $8,578.61
Since the car costs $15,000 and the amount in the bank after 18 years is $8,578.61, Anthony wouldn't be able to afford the car.
Second part of the question: The amount which should have been deposited for Antony to afford the car after 18 years
15,000 = P (1+0.01)^12*18
15,000 = P*8.5786
P = 15,000/8.5786 = $1,748.54
Therefore, for Antony to afford the $15,000 after 18 years, the mum should have deposited $1,748.54.
B.) The kitten weighed 14 ounces when it was 4 weeks old.
The exponential model best represents the data is B. f(x) = 5(0.2)^x
<h3>How to determine the
exponential model?</h3>
From the table of values, we have the following points:
(x, y) = (0,5) and (1,1)
An exponential model is represented as:
y = ab^x
Substitute (x, y) = (0,5)
5 = ab^0
5 = a
This gives
a = 5
So, we have:
y = 5b^x
Substitute (x, y) = (1,1)
1 = 5b^1
This gives
5b = 1
Divide by 5
b = 0.2
Substitute b = 0.2 in y = 5b^x
y = 5(0.2)^x
Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x
Read more about exponential model at:
brainly.com/question/2456547
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Answer:
Should be the second and third ones. If you multiply the values together, 3/4s will equal 3/16 and 3/32 with the other value.
