Answer:
1st problem: b)
2nd problem: c)
Step-by-step explanation:
1st problem:
The formula/equation you want to use is:
where
t=number of years
A=amount he will owe in t years
P=principal (initial amount)
r=rate
n=number of times the interest is compounded per year t.
We are given:
P=2500
r=12%=.12
n=12 (since there are 12 months in a year and the interest is being compounded per month)
Time to clean up the inside of the ( ).
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2nd Problem:
Compounded continuously problems use base as e.
P is still the principal
r is still the rate
t is still the number of years
A is still the amount.
You are given:
P=2500
r=12%=.12
Let's plug that information in:
.
Answer:
420
Step-by-step explanation:
20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.
Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.
We are required to calculate the probability that all the five households will have pets.
Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.
Binomial probability distribution is basically the probability calculations but in different combinations.
In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to
=1(0.0503)
=1*0.0503*1
=0.0503
Hence the probability that all the five households will have pets is equal to 0.0503.
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