Future value of 10% savings from earnings of1470 earning 3.5% annual interest compounded monthly for 25 years

Answers

Answer 1

hmmm so let's see first how much is 10% of the earnings of 1470.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147[/tex]

so then

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}[/tex]

[tex]A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}[/tex]


Related Questions

What are the zeros of the quadratic function?

f(x)=2x2+x−3
Enter your answers in the boxes.

The zeros of f(x) are ---
and ---

Answers

Answer:

x=-3/2 and x=1 is the zeros of the equation

Find The Zeroes:




Answers:

x = 1 and -2

x = 2 and -1

x = -0.5 and -2.25

Answers

Answer:

x = -2 & x= 1

Step-by-step explanation:

Zeroes are the x-axis value where the function crosses the x-axis!

Given r(x) = 20x - 89, what is the value of r(1/2)​

Answers

Answer:

put x=1/2, you will get, r(1/2)=20*1/2-89

=10-89= -70.

hope it will help.


The possible outcomes for rolling a pair of fair dice are shown below.

What is the probability of rolling a sum that is a prime number?

Answers

Answer:

5/12

Step-by-step explanation:

"When two dice are thrown, the total number of sample spaces is 36.

Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}

Total number of favourable outcomes = 15

Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."

This was taken from a Byjus post.

Hope this helps.

I just need some answers please with explanation if possible

Answers

Answer:

A'(0,4)
B'(6,-4)
C'(-2, -8)

Step-by-step explanation:

In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!

A half circle has a radius of 20 ft, what is the area of the half circle?

Answers

Step-by-step explanation:

A = 0.5(πr^2 )

A = 0.5(π × (20^2 ))

A = 628.32 units^2

Answer:

628.3 ft

Step-by-step explanation:

area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]

                             = [tex]\frac{\pi *20^{2} }{2}[/tex]

                             = 200[tex]\pi[/tex] = 628.3 ft

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

80 take away the ten from 90 and boom it’s also a acute angle

Answer:

Right angle

Step-by-step explanation:

It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.

What's the answer to 0.02x + 0.1 (6000) = 0.08 (x + 6000)

Answers

Answer:

X=2000

Step-by-step explanation:

[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]

[tex]0.02x + 600 = 0.08x + 480[/tex]

[tex]600 - 480 = 0.08x - 0.02x[/tex]

[tex]120 = 0.06x[/tex]

[tex]x = \frac{120}{0.06} [/tex]

[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]

[tex]x = \frac{120}{6} \times 100[/tex]

[tex]x = 20 \times 100 = 2000[/tex]

X=2000

−6146.153846154

Step-by-step explanation:

0.02x+6=0.8(x+6000)

0.02x+6=0.8x+4800

0.02x+6−0.8x=4800

−0.78x+6=4800

−0.78x=4800−6

−0.78x=4794

x=4794/-0.78

x=479400/-78

x=- 79900/13

Need help PLEASE lol anyway thank u

Answers

Answer:

true option is B

Step-by-step explanation:

true option is B

Simply the given expressions below.
a) 4x + 8 - 2x + 7

b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer​

Answers

Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

Answer:

a) 2x+15

B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or

n =(2+√44)/4=(1+√ 11 )/2= 2.158

Step-by-step explanation:

a.4x+8-2x+7

4x+15-2x

=2x+15

Evaluate the expression when a=-3 and c=5.
6c-a

Answers

Answer:

33

Step-by-step explanation:

We can plug in the values for a and c

[tex]6(5)-(-3)[/tex]

[tex]30-(-3)[/tex]

[tex]=33[/tex]

Therefore, the value of the expression is 33.

#LearnWithBrainly

Answer:

33

Step-by-step explanation:

Given values:

a = -3c = 5

1. Substitute the values in the expression

    [tex]\implies 6c - a[/tex]

    [tex]\implies 6(5) - (-3)[/tex]

2. Simplify the expression

   [tex]\implies 6(5) - (-3)[/tex]

   [tex]\implies 30 - (-3)[/tex]

   [tex]\implies 30 + 3[/tex]

   [tex]\implies 33[/tex]

simplify 2/5+2/5-7/15

Answers

Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]

[tex]=\frac{4}{5} -\frac{7}{15}[/tex]

[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]

Simplified:

[tex]=\frac{1}{3}[/tex]

Hope this helps

Please help ASAP I need an answer now!

Answers

Answer:

Final answer -

Area of paperboard = [tex]565.92 \: inches {}^{2} [/tex]

hope helpful :D

I NEED HELPPOO will mark you BRAINLIEST The diameter of a circle is 14, and its center is located at (3,-4).
What is the equation of the circle?
Choose from the drop-down menus to complete the equation
(* Choose.. Choose v)2 + (y Choose Choose.
x
.
= Choose .
6
7
8

Answers

Step-by-step explanation:

Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.

Answers

Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

How many solutions does the equation
below contain?
-4-3t+ 1) - 7+ = 51 - 4
A.
no solution
B.
one solution
C. two solutions
D. infinitely many solutions

Answers

Answer:

A.no solution

Step-by-step explanation:

[tex]12t- 4 - 7t = 5t - 4[/tex]

[tex]12t - 7t = 5t - 4[/tex]

[tex]5t = 5t - 4[/tex]

[tex]5t - 5t = - 4[/tex]

[tex]0 = - 4[/tex]

Determine the radius in metres Diameter=2230mm height=3130mm​

Answers

Answer: 1.115 metres

Step-by-step explanation:

     The radius is half the diameter.

2,230 mm / 2 = 1,115 mm

     To turn mm into metres, we divide the length by 1,000.

1,115 mm / 1,000 = 1.115 metres

Answer:

1.115m

Step-by-step explanation:

[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]

Please rate brainliest if you think I deserve

What is the next fraction in this sequence? Simplify your answer 1/52 1/26 1/13 2/13

Answers

Answer:

4/13

Step-by-step explanation:

The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:

[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]

4/13 is our final simplified answer

I hope this helps!

Somebody pls help me with this

Answers

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

85 minutes

Step-by-step explanation:

if need working than please do ask

A stone is projected vertically upward from a platform that is 18ft high at a rate of 114ft/sec. Use h=−16t^2+v0t+h0.

Answers

Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:

h(t) = -16t² + 114t + 18.

Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.

Hence:

[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]

[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]

Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak

Answers

Answer:

O It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4

Answer:

It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

The equation is a linear equation in the form  y = mx + b

x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)

Given equation:  c = 0.20t + 3.50  

Therefore,

t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.

Therefore, the meaning of the slope is:

It costs $0.20 per minute to rent the kayak

What is the area of the figure?

Answers

To solve the area of a complex shape

  ⇒ best split the shape into smaller regular shapes

     ⇒ let's split this one into

        ⇒the rectangle that has a length of  7cm and width of4 cm

          ⇒ and a pentagon that has a height of 8cm and the two bases of

              length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]

Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]

b1: length of one of the bases  ⇒ 7cmb2: length of the other base     ⇒ 19cmh: length of the height               ⇒ 8 cm

   Area of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]

Total Area = Area of Rectangle + Area of Pentagon

                  = 104 + 28 = 132[tex]cm^2[/tex]

Hope that helped!

What is the volume of the sphere below? ​

Answers

Answer:

D

Step-by-step explanation:

4/3 (3.14) r^3 is the equation, so since the radius is 4

It's 4/3x(pi)64

256/3x(pi)

According to an​ article, 75​% of high school seniors have a​ driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a​ driver's license. Find the probability that more than ​77% of the sample have a​ driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met.

Answers

Answer:

33%

Step-by-step explanation:

77 + 233= 300 so 33% don't have a license

How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.​

Answers

Answer:

(-2,-2)

Step-by-step explanation:

Answer:

f(x)=(x+2)2−3 or  (x−(−2)2−3

Step-by-step explanation:

Vertex form of equation is

f(x)=a(x−h)2+k

Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using

(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,

help not understanding this one

Answers

Answer:

3/m²³

Step-by-step explanation:

REWRITE

[tex]\sqrt{\frac{36m^2}{4m^24} } =\frac{\sqrt{36m^2} }{\sqrt{4m^24} }[/tex]

DISTRIBUTE SQ ROOT

[tex]\sqrt{36m^2} =\sqrt{36} \sqrt{m^2}= 6m[/tex]

[tex]\sqrt{4m^24} =\sqrt{4} \sqrt{m^24} =2m^12[/tex]

SIMPLIFY

[tex]\frac{6m}{2m^24} =\frac{3m}{m^24} =\frac{3}{m^23}[/tex]

Hope this helps!

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written??

Answers

Answer:

Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2

Step-by-step explanation:

Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)

If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.

Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.

We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.

The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.

The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.

Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Period :

Difference between two successive crest or trough is known as period, so here :

period = 9 - 3 = 6

Frequency

Now, we know that frequency = 1/period

So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz

Amplitude (A) = 4 (flipped)

b = 2π ÷ Period = 2π /6 = π/3

k = -2

The required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y = a \cos(bx) + k[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]

Help me pls math and will make brainless
Answer 7. Pls !!!

Answers

It’s D, 360
24x15=360

Volume of 12m height base and 6m base cone

Answers

750 is your answer because I’m smart and know a lot

Answer:

452.16 m³

Step-by-step explanation:

Given

height, h = 12 mbase radius, r = 6 m

Formula

V = 1/3πr²h

Solving

V = 1/3 x 3.14 x 36 x 12V = 3.14 x 144V = 452.16 m³

What is the probability of landing a C, 4 when spinning these spinners at the same time?

Answers

Answer:21%

Step-by-step explanation:21%

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