Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an
account every month that pays 1.05% interest, compounded monthly. How
much will be in the account after 4 years?

Answers

Answer 1

Answer:

$9,800.07

Step-by-step explanation:

Just took a quiz.

Answer 2

There will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

PMD = $200

r/n = 0.0105/12

n = 12

t = 4 years

After plugging the all values in the formula, we will get:

A = $9,800.07

Thus, there will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

Learn more about the compound interest here:

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Related Questions

Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.

Answers

1318.4 x 10 to the third power

whats the solution of 4-|x| = 1

Answers

Answer:

Well, x=3, -3

Step-by-step explanation:

If you use a calculator you'll easily be able to figure this out.

Answer:

x = -3 or x = 3

Step-by-step explanation:

4 - |x| = 1

Subtract 4 from both sides:

4 - 4 - |x| = 1 - 4

- |x| = -3

Divide both sides by -1:

[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]

x = -3 or x = 3

49000000 -8373448588766

Answers

answer:

-8.3733995^12

Correct answer gets Brainly !!

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Answer: X=5

Step-by-step explanation:  Because if you subtract 10-(-5) it = 5

Ben said: For every $60 the sixth graders plan to raise, the seventh graders
plan to raise $90. He looks at the principal's thermometers and sees that
$60 is at the same place on the sixth-grade thermometer as $90 is on
the seventh-grade thermometer.
Ben also makes the claim: For every $30 the sixth graders plan to raise,
the seventh graders plan to raise $45.
Do you agree with this claim? Explain your reasoning.​

Answers

Answer:

yes

Step-by-step explanation:

for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)

the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .

Answers

Answer:

it will be $1.50 (sure yan ah diyan joke)

how do I do 1. e) PLEASE HELP I’LL GIVE BRAINEST

Answers

Answer:

5/6, 6/7, 7/8

Step-by-step explanation:

The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.

Hope that helps

LOOK AT PICURE!! WHOEVER IS CORRECT I WILL MARK BRAINIEST!!

Answers

Answer:

This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.

Where did we get one?

Answers

Answer:

The -1 came from factoring.

The equation is multiplied by 8 because 8 could be pulled from 16x-8.

16 can be divided by 8 2 times and 8 can only divided by 8 once.

so factoring it makes the equation 8(2x-1)

Anyone know thiss?I need helpppp!!

Answers

Answer:

5)

V= 1,-4

S) x=1

Min= 1,-4

zeros= (-1,0)(3,0)

6)

V= -2,0

S= x=-2

min= -2,0

zeros= -2,0

Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).

Answers

Answer:

y = ¼x + (-7/4)

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

the

find C in the equation (y=mx+c)

C = y-mx ( C = -1-¼(3)= -7/4

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

y = ¼x+(-7/4)

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

What is Slope intercept form?

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

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the ratio of the interior angle to the exterior angle measures of a triangle is 1:4:5. What are the angle measures

Answers

Answer:

18°

Step-by-step explanation:

because it is ratio let represent by x

1x+4x+5x=180

10x=180

x=18°

hope that helps

Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?

Answers

Answer:

17 books

Step-by-step explanation:

please help me with math

Answers

Answer:

Hope this helps

Step-by-step explanation:

Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)

Answers

Step-by-step explanation:

gud eve.

good nigth

ilove you

Find the measures of the angles of a right triangle with one angle whose measure is 10

Answers

Answer:

10, 80 and 90 degrees.

Step-by-step explanation:

The third angle will  90 - 10 = 80 degrees.

3x/2x simplified into racio

Answers

Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is

simplify 1/5(4x-7)+2/5x
4/5x-1

1 1/5x-1 2/5

1 1/5x+1 4/5

4/5x+1 4/5

Answers

Answer:

Option 2:[tex]1 \frac{1}{5} x - 1 \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]

[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]

[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]

[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]

The p/q form of 0.4277777....... ,9 # 0 is 77/180 ( ) 180 43 90 37 90​

Answers

Answer:

77/180

Step-by-step explanation:

x = 0.42777....

Multiply by 1000   (the number of digits in decimal)

1000x = 427.7777......

  100x =  42.7777......    {Now subtract}

900x =  385

      x = 385/900

x = 77/180

Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!

Answers

Answer:

my brother said it is 5 and 10... but i do not know if it is

In Math, the word dilate means to make a figure

Answers

Answer:

False

Step-by-step explanation:

in math, dilate means changing the size of an object without changing its shape

Have a good day, sorry if I'm wrong:)

(if I am wrong, plz tell me<3)

Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?

Answers

Answer:

=8

Step-by-step explanation: becuase this inst high school this is like third grade

May I please receive help?

Answers

Answer:

m<2 = 94°

Step-by-step explanation:

just have to subtract 132-39=94

 Use trigonometric identities to solve each equation within the given domain

sec(x) cos(3x) = 0 from [- x /2 , x /2]

Answers

Answer:

Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].

Step-by-step explanation:

Angle sum identity for cosine:

[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].

Double-angle identity for cosine and sine:

[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].

[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].

The secant of an angle is the inverse reciprocal of the cosine of that angle:

[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].

Apply these identities to rewrite the left-hand side of the equation.

[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].

Solve the rewritten equation:

[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].

Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].

The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].

If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].

Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],

Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.

make p the subject of t=p+m/p-m

Answers

Answer:

t=9+m/9-m

Step-by-step explanation:

what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,

Answers

Answer:  [tex]y = -\frac{2}{3}x+2[/tex]

Check out the diagram below.

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

Work Shown:

[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]

The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.

The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.

8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)

Answers

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?

Answers

86.4

....................

pls answer asap and correctly

Answers

Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

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