Step-by-step explanation:
This is a question that bothers combination. Combination has to do with selection.
When selecting r objects out of a pool of n objects, the number of ways this can be done is:
nCr = n!/(n-r)!r!
If a local BBQ restaurants offers 2 side dishes with a lunch plate, and there are 7 side dishes, the number of choices that the customer have is expressed as:
7C2 = 7!/(7-2)!2!
7C2 = 7!/(5)!2!
7C2 = 7*6*5!/5! * 2
7C2 = 7*6/2
7C2 = 42/2
7C2 = 21 choices
Hence the customer has 21 choices of side dishes to make
Answer:
Step-by-step explanation:
The four sides of the quadrilateral touches the circle. This means that the opposite angles of the quadrilateral are supplementary.
It means that the sum of the angles is 180 degrees From the given diagram,
Angle B + angle R = 180
Angle B = 180 - 85
Angle B = 95 degrees
Angle D + angle I = 180
Angle D = 180 - 117
Angle D = 63 degrees
Answer
<B is 95, and <D is 63
Step-by-step explanation:
Opposite angles have sum 180, so angle of the B is 180-85=95, and angle of the D is 180-117=63
A. 5^x•5^x B. 5•5^x
C. 5^2•5^x
D. 5^2x
E. 5•5^2x F. (5•5)^x
Answer:
A. 5^x•5^x
D. 5^(2x)
F. (5•5)^x
Step-by-step explanation:
25^x = (5•5)^x = (5^2)^x = 5^(2x) = (5^x)^2 = (5^x)•(5^x)
__
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a•a = a^2
Answer:
30 31 64 59 58 33 54 77 56 41 (arrange it)
30 31 33 41 54 56 58 59 64 77 (done!)
Mean: Find the number in the middle (54+56)/2= 110/2 = 55
Mode: None
Mean: (30+31+33+41+54+56+58+59+64+77)/10=503/10= 50,3
Formula to Use
Account Balance in 20 years
Total Interest Earned
present value of an annuity
future value of a lump sum
future value of an annuity
$99,875
$112,253
$149,875
$249,875
$286,363
Account balance In 20 years is $249,875 and total interest earned is $99,875.
The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.
We have,
P = $6,000
r = 0.04
n = 1
t = 25
We know the formula for future value
FV= PV .
where:
P=Investment amount
R=Interest rate
T=Number of years
According to the question
FV=$6,000×(1+0.04
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000
Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875
To learn more about future value from here
#SPJ2
Answer:
Formula: Future value of annuity
In 20 years: $249,875
Total Interest: $99,875
Step-by-step explanation:
Use the formula for future value:
FV =
P = $6,000
r = 0.04
n = 1
t = 25
FV =
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:
$6,000 annual payments for 25 years = 6,000 • 25
= $150,000
(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)
Answer:
-36
Step-by-step explanation:
80 + (-36) = 44
The negative in the 36 allows it to be subtracted from 80
Answer:
80 + -36
Step-by-step explanation:
80 - 44 = 36
80 + -36 = 44