For number 1, the x-intercept is -1.5 and the y- intercept is 3. For number 2, the x-intercept is 8 and the y-intercept is -4. For number 3, the x-intercept is -10 and the y-intercept is 5. To get these answers, use the formula of y=mx+b. M is the slope and b is the y-intercept so, for number 3, you need to divide everything by -2 to get y alone, then add 1/2 to both sides to use inverse operations. The real equation for number 3 is y=1/2x+5.
Answer:
Step-by-step explanation:
We will use the A=P*(1+r/n)^nt formula
P = 160,000
R = the rate 7%
N= the times compounded. Since it is annually it is 1
T = 8 years
Filling in the information...
A = 160,000 x (1 + .07)^1*8
= 160,000 x 1.07^8
= 160,000 x 1.71818617983
= 274909.788773
Round up as needed.
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You can do 1/24; 3/24; 5/24 in that order
The equation for this is:
F = P(1+i)ⁿ
where
F is the present accounts balance
P is the initial deposit
i is the interest rate
n is the number of months
The interest rate is nominal which is 2.9% per year compounded monthly. Since there are 12 months in a year, that is equal to an effective interest rate of 0.24167% per month compounded monthly (i = 0.0024167). In 9 years, there are a total of 108 months, so n=108.
<span>$2033.88 = P(1+0.0024167)</span>¹⁰⁸
P = $1567.147
(x + 1) / 5 = (x + 5) / 7
cross multiply
(x +1) x 7 = 5 x (x + 5)
7x + 7 = 5x + 25
take the like terms to one side
7x - 5x = 25 - 7
2x = 18
divide by 2 to isolate x
2x / 2 = 18 / 2
x = 9
check:
9 + 1 / 5 = 9 + 5 / 7
10 / 5 = 14 / 7
2 = 2