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AVprozaik [17]
3 years ago
13

Ted earned $4,300 from his summer internship that he plans to invest so that he can buy a used car after three years. Ted choose

s a bank that offers 5.5% compounded quarterly. Can Ted buy a car that costs $4,700 after three years? Round your numbers to the nearest cent.
Mathematics
1 answer:
olganol [36]3 years ago
8 0

Answer: Yes he will be

Step-by-step explanation:

To find out if Ted can afford the car, find the future value of $4,300 in three years.

First convert the number of years and rates to quarterly values as this is the compounding period:

Term = 3 * 4 quarters = 12 quarters

Rate = 5.5% / 4 = 1.375% per quarter

Future value = Amount * ( 1 + rate) ^ term

= 4,300 * ( 1 + 1.375%)¹²

= $5,065.69

<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>

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What is the circumference (in inches) of a circle with radius of 5 inches? Use 3.14 for n.
Yuliya22 [10]

Answer:

A. 31.4 in.

Step-by-step explanation:

Formula for the circumference:

C = dπ (d = 2r)

Therefore:

C = 10π

C = 10 · 3.14

C = 31.4 in.

6 0
3 years ago
Read 2 more answers
Write the equation of the line with a slope of 0 and containing the point (- 6, 5).
defon
Y=mx+b
5=0(-6)+b
b=5
So equation
y=0x+5

Or

y=5
4 0
3 years ago
The value x = 3 is a solution to each of the following except which?
ololo11 [35]

Answer:

x \: is \: not \: a \: solution \: in \to \: 5x + 4 < 19. \\

Step-by-step explanation:

\: if \: x = 3 \: then \\  4x-1=2x +5  \: is \: same \: as  \to \:  \\ 4(3) - 1  = 2(3) + 5\\ 12 - 1 = 6 + 5 \\ 11 =11 \to \: \\  \boxed{ x \: is \:a \:  solution \: here}  \\  \\ if \: x = 3 \\ then \to \\ 5x + 4    <   19\: is \: same \:as \to \\ 5(3) + 4 < 19 \\ 15 + 4 < 19 \\ 19 \: is \: equal \: to \: 19 : \\ 19 \:  can \: not \: be \: less \: than \: 19 \\ \boxed{ henc e\: x \: is \: not \: a \: solution \: here}

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6 0
3 years ago
What is the solution to the inequality 10x + 18 &lt; -2
solong [7]
<h3>Answer:  x < -2, choice B</h3>

===========================================

Work Shown:

10x + 18 < -2

10x + 18-18 < -2-18 ... subtract 18 from both sides

10x < -20

10x/10 < -20/10 ... divide both sides by 10

x < -2

3 0
3 years ago
State whether the lines are parallel, perpendicular,or neither.
cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

  • Two lines are parallel if their slopes are equal.
  • Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

Given the lines

1)

  • y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6  

  • y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 ×  - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

  • y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3  

  • 2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

  • 8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4  

  • x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 ×  - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

  • 3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2  

  • 3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

  • y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6  

  • y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

  • y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3  

  • y = -1/3x - 4

Comparing with y=mx+b, the slope of y =  1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0
2 years ago
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