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Elanso [62]
4 years ago
15

4 − 4(x − 8) ≤ 5x + 9 interval notation

Mathematics
1 answer:
RoseWind [281]4 years ago
4 0

Answer:

x=3

Step-by-step explanation:

4-4x+32= 5x+9

36-4x = 5x+9

36 = 9x+9

27 = 9x

3=x

x=3

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On January 1, 1985, Marc has the following two options for repaying a loan:
Aliun [14]

Answer:

The correct answer is

K = 29.0123 months

Step-by-step explanation:

The given variables are interest at 12 % monthly compounded

to find the number of months

Compound interest = A=P(1+\frac{r}{n})^{nt}and

A = Future value.

P= Principal, initial value amount,  

r= Interest rate

n= number of time units,

t = time

and  F = P(1+i)^{n}where

P = principal,

i = interest,

F = Future sum payment

n = number of payment time units

The two options have the same eventual value

Therefore we have

100(1+\frac{r^{-60} }{n}) = 6000*((1+.01)^{-K})

100(\frac{1-1.01^{-60} }{.01}) = 6000*((1+.01)^{-K})

Taking natural logarithm of both sides we have

K= -(㏑(10/6)+ln(1-1.01^{-60}))/㏑(1.01)  = 29.0123 months

Alternatively we have

3 0
3 years ago
What is the constant of proportionality in the equation x/y=2/9<br> HURRY
const2013 [10]

Answer:

1/9

Step-by-step explanation:

Separate the fraction (1/9) from the variable x:

y = (1/9)x.

1/9 is the constant of proportionality.

5 0
4 years ago
Find the absolute value of -0.02
tatuchka [14]
Answer: 0.02
Explanation: the absolute value of anything is the distance between the given number and zero.
5 0
2 years ago
What is the distance between -3 and 3 on a number line?<br> A. -6<br> B.6<br> C. 3<br> D. 0
SpyIntel [72]
The distance is 6

| | | | | | |
-3 -2 -1 0 1 2 3
4 0
3 years ago
Combine like terms due Monday at 8:00am
zmey [24]

Answer:

8. 11v

9. -19x

10. 6p

11. 16n

12. -4n - 5

13. 15r

14. 9n + 1

Step-by-step explanation:

8. -v + 12v = 11v

9. -8x - 11x = -19x

10. 4p + 2p = 6p

11. 5n + 11n = 16n

12. n + 4 - 9 - 5n = n - 5n + 4 - 9 = -4n - 5

13. 12r + 5 + 3r - 5 = 12r + 3r + 5 - 5 = 15r

14. -5 + 9n + 6 = 9n + 1

3 0
3 years ago
Read 2 more answers
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