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Alecsey [184]
3 years ago
7

To finance her community college​ education, Sarah takes out a loan for ​$3700. After a year Sarah decides to pay off the​ inter

est, which is 5​% of ​$3700. How much will she​ pay?
Mathematics
1 answer:
iragen [17]3 years ago
8 0
So, to solve this, we use this equation:
3700 + 0.05(3700)
But, if we want to make it shorter:
1.05(3700)
Now you just multiply(you may want to use a calculator)
1.05(3700) = 3885
She will pay $3885
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Find the distance from P to l. Line l contains points (-4,2) and (3,-5).Point P has coordinates (1,2).
Annette [7]
Hello,

A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2

Slope of the perpendicular: 1

y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.

Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q

|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....



7 0
3 years ago
Please help with the attached question. Thanks
Mademuasel [1]

Answer:

Choice A) F(x) = 3\sqrt{x + 1}.

Step-by-step explanation:

What are the changes that would bring G(x) to F(x)?

  • Translate G(x) to the left by 1 unit, and
  • Stretch G(x) vertically (by a factor greater than 1.)

G(x) = \sqrt{x}. The choices of F(x) listed here are related to G(x):

  • Choice A) F(x) = 3\;G(x+1);
  • Choice B) F(x) = 3\;G(x-1);
  • Choice C) F(x) = -3\;G(x+1);
  • Choice D) F(x) = -3\;G(x-1).

The expression in the braces (for example x as in G(x)) is the independent variable.

To shift a function on a cartesian plane to the left by a units, add a to its independent variable. Think about how (x-a), which is to the left of x, will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by a units, subtract a from its independent variable.

For example, G(x+1) is 1 unit to the left of G(x). Conversely, G(x-1) is 1 unit to the right of G(x). The new function is to the left of G(x). Meaning that F(x) should should add 1 to (rather than subtract 1 from) the independent variable of G(x). That rules out choice B) and D).

  • Multiplying a function by a number that is greater than one will stretch its graph vertically.
  • Multiplying a function by a number that is between zero and one will compress its graph vertically.
  • Multiplying a function by a number that is between -1 and zero will flip its graph about the x-axis. Doing so will also compress the graph vertically.
  • Multiplying a function by a number that is less than -1 will flip its graph about the x-axis. Doing so will also stretch the graph vertically.

The graph of G(x) is stretched vertically. However, similarly to the graph of this graph G(x), the graph of F(x) increases as x increases. In other words, the graph of G(x) isn't flipped about the x-axis. G(x) should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points (x, y)'s that are on the graph of F(x) fit into the expression y = F(x) = 3\sqrt{x - 1}.

5 0
3 years ago
Read 2 more answers
On Earth, objects weigh 6 times what
Colt1911 [192]

Answer:

16 pounds.

Step-by-step explanation:

As you said, objects weigh 6 times more than what they weigh on the moon. Therefore, the robot originally weighing 96 pounds will be reduced to 16 pounds.

16*6=96. (Original Weight)

96/6=16. (Weight after being on the moon.)

4 0
3 years ago
PLEASEEEEE HELPPP ILL GIVE 30 POINTS PLSSS HELP
beks73 [17]
Answer 4

4multiplyed by 4 is 16
8 0
3 years ago
Jamal starts work in January with a salary of RM 3650 per month.He gives 10% of his salary to his mother.How much money does Jam
kati45 [8]

Answer:

Earns 56,500

Tax 56,500 × 10/100

=5,650

Invest = 50,850 × 50/100

= 25,425

Food = 25,425 × 30/100

=7,627.5

Shopping = 17,797.5 × 20/100

=3,559.5

Remaining = 14,237.5

3 0
2 years ago
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