Answer:

Step-by-step explanation:
<u>Compound Interest</u>
This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.
The present value PV or the principal can be calculated with

Solving for R

Where Fa is computed by

We'll use the provided values but we need to convert them first to monthly payments




Thus, each payment is


Answer:
The upper limit of the 95% confidence interval is:
C.I_u = 200 + (58.8/
)
Step-by-step explanation:
The formula is given as:
C.I = μ ± Z*σ/
The upper limit => C.I_u = μ + Z*σ/
The lower limit => C.I_l = μ - Z*σ/
The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.
The upper limit => C.I_u = 200 + 1.96*(30/
)
= 200 + (1.96*30)/
= 200 + 58.8/
Answer:
Step-by-step explanation:
We will use following steps to measure exactly 4 gallons of water with the help of 5 gallons and 3 gallons empty jugs.
1). Fill 3 gallons jug completely.
2). Pour this 3 gallons of water into 5 gallons jug. Now we have 3 gallons of water in 5 gallons jug and 3 gallons jug empty.
We can add 2 gallons of water in the empty space of 5 gallons jug more.
3). Fill the 3 gallons jug with the water again.
4). Pour this water into 5 gallons jug which can hold 2 gallons of water more.
Now we have 5 gallons of jug filled fully and 1 gallon water remaining in the 3 gallons jug.
5). Empty the 5 gallons jug completely.
6). Pour the remaining 1 gallon of remaining water in 3 gallons jug into 5 gallons jug.
7). Fill the 3 gallons jug completely and pour it into 5 gallon jug.
8). Finally we have 4 gallons of water in the 5 gallons jug.
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:

Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:

Complete the square as following:

Now you must rewrite it as following:

Then:
h=7
Answer:
80 meters
Step-by-step explanation:
to find the area multiply length by width