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Step-by-step explanation:
Answer:
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Answer:
Karla will earn $2,706.86 in 15 years.
Step-by-step explanation:
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this exercise, we have that:
Carla invested $1000 in savings bonds. This means that
Semiannually is twice an year, so
6.75% interest, so .
How much total will Karla earn in 15 years?
This is A when t = 15.
So
Karla will earn $2,706.86 in 15 years.
The string was initially 20 feet long. Four fifths of one half of the string is 8 feet long, so half of the string is 10 feet long. Double 10 and you get 20. Therefore, the string was 20 feet long to begin with.