Answer:
a) 5,000 b) 3,600
Step-by-step explanation:
a) there are four different slots, and for the first three slots there are a possibility for 10 different numbers and in the last slot there can only be 5 different numbers. So you get 10 x 10 x 10 x 5 which leaves you with 5,000 possibilities
b) the same thing as above but know you have fewer numbers 10 x 9 x 8 x5 which gives you 3,600 possibilities
Answer:
the solution is (-4, 3)
Step-by-step explanation:
if you were to graph y = -7/4x - 4 you could plot your first point at (0, -4) and get your second point by going up 7 units (from (0, -4) and to the left by 4
if you were to graph y = -1/4x + 2 you could plot your first point at (0, 2) and get your second point by going up 1 unit (from (0, 2) and to the left by 4
the second point plotted for each equation will be the point of intersection, (-4, 3)
Answer: A. $4.12
Step-by-step explanation:
Y=a(1+r/n)^nt is the equation we use to solve this.
a= $0.43
t=37 - take 1980 and subtract it from 2017
r= .063 - the 6.3% goes into a decimal
n = 1
Y= ?
Y= 0.43( 1+ .063/1) ^1*37
Y= 0.43 (1.063) ^37
Y= 4.12
The original annual simple interest rate, rounded to two decimal places, is 3.79%
What is the formula for simple interest?
The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time
I=PRT
The first loan:
P=12 850.00
R=r(assume it is r)
T=4 years
I=12 850.00*r*4
I=51400r
The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year
P=3 273.00
R=0.5r( half of the interest on the first loan)
T=0.5 years
I=3 273.00*0.5r*0.5
I= 818.25r
Total interest=51400r+818.25r
Total interest=52218.25r
total interest paid=1 980.00
1 980.00=52218.25r
r=1 980.00/52218.25
r=3.79%
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