Answer:
$97.99
Step-by-step explanation:
3 months is "fraction" of a year
How much?
3/12 = 1/4th of a year
So, the interest earned in 3 months, is annual interest divided by 4.
We can use compound interest formula shown below to solve this easily:
Where
A is the future amount
P is the present amount (principal)
r is the rate of interest annual
n is the number of compounding in a year
t is the time in years
So, let's find the given information:
P = 6500
r = 6% = 6/100 = 0.06
n = 12 [compounded monthly, so 12 times compounding]
t = 1/4 = 0.25 [3 months = 0.25 of a year]
Now, substituting, we find the value of 6500 after 3 months:
So 6500 became 6597.99 in 3 months. The excess amount is the interest earned.
Interest Earned = 6597.99 - 6500 = $97.99
b.$0.27
c.$0.63
d.$0.36
Answer:
572
Step-by-step explanation:
We use n
52n
n=11
52x11=572
4.8%. He is financing it over 5 years and making monthly payments. What is the monthly payment?
$104.54
$378.21
$450.71
$1225.56
Answer:
The monthly payment, PMT = $450.71
Therefore the correct option is C.) $450.71
Step-by-step explanation:
i) Value of Loan, or Present value, PV = 24000
ii) Annual percentage rate , APR = 0.048
iii) number of periods, n = 12
iv) periodic interest, R = APR / n = 0.048 / 12 = 0.004
v) number of years, t = 5
v) Monthly Payment, PMT = = $450.71
the measure of DEF?
The expression which gives the measure of DEF, in the diagram where, DE and Ef are tangent to circle o is 1/2(236-124) degrees.
When the two tangent are drawn to a circle from an exterior point then according to this theorem-
The length of these two tangents is equal.
In the diagram below, DE and EF are tangent to o. In the diagram half of the difference of the arc GF and DF is equal to the angle of the measure of DEF. Thus,
Thus, the expression which gives the measure of DEF, in the diagram where, DE and Ef are tangent to circle o is 1/2(236-124) degrees.
Learn more about the theorem of two tangents from external point here;
Answer:
A
Step-by-step explanation:
∠DEF is a tangent- tangent angle and is measured as
∠DEF = ( arc GF - arc DF), that is
∠DEF = (236 - 124)° → A