MATHEMATICS HIGH SCHOOL

You decide to put $100 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds? a. 170.202 years b. 14.3129 years
c. 171.755 years
d. 168.354 years

Answers

Answer 1
Answer:

Answer:

A. 170.202

Step-by-step explanation:

Just took the test
Answer 2
Answer:

Answer:a

Step-by-step explanation:test

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One cell phone plan charges 20$ per month plus$0.15 per minute used.A second cell phone plane charges $35 per month plus $0.10 per minute used. write and solve an equation to find the number of minutes youmust talk to have the same cost for both calling plans. Please help!!!! i suck at word problems.
Solve the following using factoring x²+12=7×​
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Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?

Answers

We will have to use the distance formula in order to determine the lengths of each side of the triangle.

Distance formula: \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2) }

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2

so
\sqrt{(-2 - 1)^(2) + (2 - 7)^(2) }
\sqrt{(-3)^(2) + (-5)^(2) }
√(9 + 25 )
AB = √(34) or (rounded to the nearest tenth) ≈ 5.8

Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2

So
\sqrt{(4 - -2)^(2) + (2 - 2)^(2) }
\sqrt{(6)^(2) + (0)^(2) }
BC = √(36 ) or 6

Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7

So
\sqrt{(1 - 4)^(2) + (7 - 2)^(2) }
\sqrt{(-3)^(2) + (5)^(2) }
√(9 + 25)
CA = √(34) or (rounded to the nearest tenth) ≈ 5.8

So let's recap:

AB ≈ 5.8
BC = 6
CA ≈ 5.8

So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.

The price of a silk scarf is $32. The sales tax is $1.92. What is the sales-tax rate?

Answers

Answer:

sales-tax rate = 6%

Step-by-step explanation:

The price of a silk scarf is $32. The sales tax is $1.92

Let the sale tax rate be s%

Price of silk scarf = $32

Sale tax = s% of 32

Sale tax = $1.92

Thus,

s% of 32 = 1.92

First we change s% to decimal

(s)/(100)* 32=1.92

s=(1.92* 100)/(32)

s=6\%

Hence, The sales-tax rate is 6%
The sales tax =1.92/32.00=0.06=6%

2. Explain how the order of operations determines how you simplify a numeric expression. Be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. Use examples to illustrate your points.

Answers

P-paratheses (do any math that has parentheses around the numbers) y=(2x5)+25
E-exponents (do the exponents next) y=(2x5)+5^2
M-multiplying. (Basically everything is self explanatory from here to then cuz im lazy to list examples)
Just basically if you don't use PEMDAS, you'll get the wrong answer

A group of biologists found a total of 24 loggerhead turtle nests along a beach during a certain season. This was 30% of the total number of turtle nests the group found during that season. What was the total number of turtle nests the group found during that season?54
56
80
94

Answers

80
that is the answer your welcome

Answer:

The answer is C, 80.

Step-by-step explanation:

I have recently taken this exam.

FLVS right, segment exam?

Be strong your almost done!!!

Hope this helped!

A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted

Answers

from the figure we can express as Pythagoras theorem for rectangle triangles:

a^2 = r^2 + z^2

b^2 = r^2 + z^2

sen m = z/a
cos m = r/a

hence by the law of sines and cosines:

sen^2 m + cos^2 m = 1
(z/a)^2 + (r/a)^2 = 1

z^2/a^2 + r^2/a^2 = 1

substitue first equation value for a^2
z^2/(r^2 + z^2) + r^2/(r^2 + z^2) = 1

which proves that in fact is a triangle rectangle due to Pythagoras and sine-cosine laws, the same procedure can be follow for the other rectangle triangule in teh figure.

How many real number solutions does the equation have?-8x^2-8x-2=01
2
no solutions
or
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solve the equation by completing the square. round to the nearest hundredth. x^2+6x=-7
4.41,1.59
-4.41,1.59
-4.41,-1.59
4.41,-1.59

and the last one is
solve the systems of equations algebraically. show all of your steps.
y=x^2+2x
y=3x+20

Answers

Hello,

I)
1 solution with multiplicity 2
(2x+1)²=0

II) ANSWER C (-4.41, -1.59)
-3-√2 and -3+√2

III)
y=x²+2x
y=3x+20
==>x²+2x=3x+20
==>x²-x-20=

Δ=1+4*20=81=9²

(x=(1-9)/2=-4 and y= 3*(-4)+20=8 ) or (x=(1+9)/2=5 and y=3*5+20=35)
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