Answer:
d≤48/2.15
Step-by-step explanation:
Step one:
Given data
Claudia spends $2.15 a day for lunch.
We are told that her balance is $48.00
let the number of days be d
Step two:
The maximum number of days she can eat is given as
d≤48/2.15
d≤22.33 days
<span>25.7 years
The rule of 72 is a simple approximation on how long it will take to double your money. You simply divide 72 by the interest rate and you'll have your estimate on the number of years it will take. So
72 / 2.8 = 25.7 years.
To demonstrate that it's just an estimate, you can take the log of 2 and divide by the log of 1.028 to get the exact value. This far more complicated calculation gives the result of 25.1 years. And to be honest, the estimate of 25.7 years is more than close enough for such an quick and easy rule of thumb.</span>
%change=100(final-initial)/initial,
%change=100(New price-Original price)/Original price
(Original price*%change)/100=New price-Original price
New Price=(Original price*%change+100*Original price)/100
New Price=Original price(100+%change)/100
Since %change is -4%...
New Price=0.96(Original price)
...
Since original price is $45400
New Price=0.96(45400)
New Price=$43584
Answer:
D. 20
Step-by-step explanation:
First, we need to plug in -2 to all the spots where x are. The new equation we have then is f(-2)= 2(-2)^2 - 3(-2) + 6. Then, we plug in the exponent to get 2(4) - 3(-2) + 6. We can then multiply to get 8 + 6 (since the three was negative as well) + 6, which equals 20.
Answer:
The alternative hypothesis is
.
The critical value is 
Step-by-step explanation:
It is claimed that proportion in favor of proportion A is greater than 60%.
This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:

At the alternative hypothesis, we test if the proportion is more than 60%, that is:

What is (are) the critical value?
The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table, 