When calculating accrued interest over several years that compounds annually, you must calculate a new principle each year, adding the accrued interest from the previous year. At the beginning of the new interest period, all the accrued interest is added to the principal which forms a new principle figure that the interest is then counted on.
Answer:
1600
Step-by-step explanation:
Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields
(2x+x)/2=489.....use inverse operations to yield
2x+x=978
Combine like terms to get
3x=978
Then divide by 3
To give you x=326
What does x tell you?
X= harry = 326
2x = Smith = 652
To check add them together and divide by 2 to get the average....489
Answer:
$1200
Step-by-step explanation:
On an annual basis, Susie will be paying ($300×12) = $3600 the first year, and ($50×12) = $600 more each year after. The average rent over the 5-year period will be the rent in year 3, or $3600 +2×600 = $4800.
Susie's total rent for the period is ...
$4800×5 = $24,000
and Bailey's total commission will be ...
0.05 × $24,000 = $1200
_____
The sequence of annual rents is an arithmetic sequence with first term 3600 and common difference 600. The total of n terms of an arithmetic sequence will be ...
sum = (2·a1 +d(n -1))×(n/2)
= (2·3600 +600(5-1))(5/2) = 24000 . . . for n=5
This is the average term multiplied by the number of terms. When the number of terms is odd, the average term is the middle one (term 3 when there are 5 terms).
<span>You want to purchase a blender for $47.99. The sales tax rate is 8.25%. How much money do you need for your purchase, including sales tax?
</span>51.949175 = 51.95