Step-by-step explanation:
in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.
a2 = 20
a5 = 1280 = a2×x×x×x = a2×x³ = 20x³
64 = x³
x = 4
=> a1 = 5
therefore
an = an-1×4 =
n > 1
Answer:
$11,130.47
Step-by-step explanation:
The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.
A = P(r/12)/(1 -(1 +r/12)^(-n))
Filling in your values, we get ...
200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)
P = 200(1 -1.0025^-60)/.0025 ≈ 200×55.6523577
P ≈ 11,130.47
The present value of the loan is $11,130.47.
Answer:
Step-by-step explanation:
1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.
1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.
First: markup rate × wholesale price = amount of markup
Second: Well the markup rate is a percentage, you have to convert it into a decimal. Percent means "out of one hundred," so <span>80%</span> is equivalent to <span>80/100 </span>which is also equal to <span>80÷100</span>.
<span>Third: 80÷100=0.80</span>
0.80 × $93.00 = $74.40
Fourth: The markup rate is a percentage of the wholesale price that is added to get the retail price, you can find the retail price with the following equation: amount of markup + wholesale price = retail price
<span>$74.40</span> + <span>$93.00</span> = <span>$167.40</span>
The retail price of the chair should be <span>$167.40</span>.
Divide total miles by miles per gallon:
364 miles / 20 miles per gallon = 18.2 gallons
