A first number plus twice a second number is 10. Twice the first number plus the second totals 32. Find the numbers.
2 answers:
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Answer:
a.$7,096
Step-by-step explanation:
- total amount A = s(\frac{(1+\frac{r}{n}) ^{n*t}-1 }{\frac{r}{n} } )[/tex]
[this is the formula used when certain amount is added at regular intervals and if the interest is COMPOUNDED]
(here,
s=deposit added at the end of each quarter= $500
n= number of times interest is compounded per unit 't'=4
t=total time = 3 years
r=interest rate ( expressed in decimal or fraction not in %) = 12/100 = 0.12 )
- A= 500(\frac{(1+\frac{0.12}{4}) ^{4*3}-1 }{\frac{0.12}{4} } )[/tex]
- by solving further,
A
( [1.03]^12= 1.42576 ( approximately) { use calculator for exact values})
we can use average rate of change formula
(a) x = -3 to x = -2
Firstly, we will find points
(-3, 0) and (-2,2)
now, we can plug these values into formula
and we get
(b)x = -2 to x =1
Firstly, we will find points
(-2,2) and (1,-4)
now, we can plug these values into formula
and we get
(c) x = 0 to x =1
Firstly, we will find points
(0,-3) and (1,-4)
now, we can plug these values into formula
and we get
(d) x = 1 to x =2
Firstly, we will find points
(1,-4) and (2,0)
now, we can plug these values into formula
and we get
(e) x = -1 to x =0
Firstly, we will find points
(-1,0) and (0,-3)
now, we can plug these values into formula
and we get
(f) x = -1 to x =2
Firstly, we will find points
(-1,0) and (2,0)
now, we can plug these values into formula
and we get