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Alona [7]
3 years ago
7

Two perpendicular lines intersect at the origin. If the slope of the first line is 3, what is the equation of the second line?.

Mathematics
2 answers:
tester [92]3 years ago
5 0
If slope of first line is 3 and is perpendicular to second line
then second line has a slope of -1/3
LenKa [72]3 years ago
4 0
The slope of the line perpendicular to a line with a given slope is its negative reciprocal. Hence, the new slope is -1/3. The equation of the line given slope and point can be generally expressed as,
                                       y - y1 = m(x - x1)
Substituting,
                                      y - 0 = (-1/3)(x - 0)
The final equation would be,
                                      x + 3y = 0

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Suppose you invest $2250 in a D that earns 3% APR and is compounded monthly. The Cd matures in 2 years. How much will this CD be
olasank [31]

Answer:

$2388.95

Step-by-step explanation:

  • Principal, P= $2250
  • Annual Interest Rate, r= 3% =0.03
  • Time, n= 2 years
  • Since it is compounded monthly, Period, k= 12 Months

The worth of a compound deposit after a period of n years is calculated using the formula:

A(n)=P(1+\frac{r}{k})^{nk}

A(2)=2250(1+\frac{0.03}{12})^{12 \times 2}\\\\=2250(1+0.0025)^{24}\\=2250(1.0025)^{24}\\=\$2388.95

At maturity, the deposit will be worth $2388.95.

8 0
3 years ago
What is the next number in the sequence: 3, 9, 21, 45, 93,...?
irinina [24]

Answer:

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8 0
3 years ago
Read 2 more answers
Leah would like to earn at least 150 per month. She babysits for $10 per hour and works at an ice cream shop for$12 per hour.Lea
Firdavs [7]

Answer:

The solution in the attached figure

Step-by-step explanation:

<u><em>The question is</em></u>

Write and solve a system of inequalities that models this situation

Let

x ---> represent the number of hours Leah babysits

y ---> represent the number of hours Leah works at the ice cream shop

we know that

<em>Leah would like to earn at least 150 per month</em>

The term "at least" means "greater than or equal to"

so

10x+12y\geq 150 ----> inequality A

The solution of the inequality A is the shaded area above the solid line 10x+12y= 150

The slope of the solid line A is negative m=-5/6

The y-intercept of the solid line A is (0,12.5)

The x-intercept of the solid line A is (15,0)

Leah cannot work more than a total of 25 hours per month

x+y\leq 25 ----> inequality B

The solution of the inequality B is the shaded area below the solid line B x+y=25  

The slope of the solid line B is negative m=-1

The y-intercept of the solid line B is (0,25)

The x-intercept of the solid line B is (25,0)

using a graphing tool

The solution of the system of inequalities is the shaded area above the solid line A and below the solid line B

see the attached figure

3 0
3 years ago
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