3B What is the value of account after 10 years,
if interest is paid at 3.7%, if no other deposits
or withdrawals are made?
Initial deposit $6500, then compounded annually

Answers

Answer 1

Answer:

$9,347.62

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $6,500r = 3.7% = 0.037n = 1t = 10 years

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]

[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]

[tex]\implies \sf A=9347.617232[/tex]

Therefore, the value of account after 10 years is $9,347.62

Answer 2

Let's see

[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]

P=6500r=3.7%t=10years

So

A:-

[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]

[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]

[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]


Related Questions

HURRY UP (100) POINTS PLS HURRY (10 MINS LEFT)
Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.

Answers

Answer:

Four less than the product of five and a number, is eleven.

Step-by-step explanation:

"The product of five and a number":  5c

"Four less than":  - 4

"is eleven":  = 11

"Four less than the product of five and a number is eleven":  

5c - 4 = 11

Four less than the product of five and a number is eleven

No is c

Product of 5 and c is 5c

4 less than it means 5c-4

The result is 11

So expression is 5c-4=11

I will give 20 points and maybe brainiest, please help me

Answers

Answer:

The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.

Step-by-step explanation:

We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.

Hope this helps:) Goodluck!

write the equation in the slope intercept form of the line shown on the graph​

Answers

y=3x+6
3 is the slope (rise over run)
6 is the y intercept (the point where the line meets the y axis)

What is the value of y in the solution to this system of equations?
3x + 2y = -12
2x + y = 4
A.
B.
C.
D.
-36
-12
4
20

Answers

Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

Tap for more steps...

−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

.

Tap for more steps...

x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

Tap for more steps...

y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

3x-2y=-12--(1)2x+y=4--(2)

Multiply 2 with (1) and 3 with (2)

6x+4y=-24--(1)

6x+3y=12--(4)

Subtract

y=-24-12y=-36

Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab

Answers

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

How do I solve x - 6 1/2 = 3 2/3
Pls explain ur answer and how I can improve I’m having math finals

Answers

Answer:

10 1/6

Step-by-step explanation:

First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.

So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.

Then, you can rewrite your equation using the improper fractions:

x - 13/2 = 11/3

Then, add 13/2 to both sides since it is being subtracted:

x = 13/2 + 11/3

Add the fractions by multiplying the denominators of each by the fraction of the other:

3(13/2) = 39/6
2(11/3) = 22/6

Add the fractions:

39/6 + 22/6 = 61/6

Simplify the fraction:

10 1/6

Answer:

10 1/6 or [tex]10\frac{1}{6}[/tex]

Step-by-step explanation:

The BEST, BASIC, FAST trick to find x in these situtations

If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result.  If you're doing addition, then you do subtraction in the same way.

Multiplication -> Division

Divisioin -> Multiplication

these 2 also in the same way!

Why do to do this?

Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.

Now, solving the problem!

[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]

So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]

Thanks!

I hope I could help!

:D

1
Select the correct answer.
Which function defines (f + g)(),
f(t) = ln(2x) – 15
g(x) = 3 sin(I) – 7
=
OA. (f + 9) () = ln(2x) + 3 sin(x) + 22
3a )
OB
B. (f + g)() = ln(2x) + sin(o) – 66
OC. (f + 3)(0) = ln(2x) + 3 sin(a) – 22
(
In
D. ( + g)(x) = ln(2x) – 3 sin(x) = 8
Reset
Next

Answers

The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions are given below.

f(x) = ln (2x) – 15

g(x) = 3 sin(x) – 7

Then the addition of the function will be

(f + g)(x) = f(x) + g(x)

(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7

(f + g)(x) = ln (2x) + 3 sin(x) – 22

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

See photo

Step-by-step explanation:

Plato/Edmentum

PLEASE HELP WILL GIVE BRAINLEST!

Answers

Answer:

pi/2

Step-by-step explanation:

We know that,

Length of arc=r*(theta) where r=radius and theta is angle

Given- unit circle, it means  circle have raduis=1

       Theta=90° or (pi/2)

Hence,

Length of arc is = 1*(pi/2)

                            = pi/2

Hence option two is correct

Please solve this in a few mins! :)

Answers

Answer:

The answer is  greater than or equal to 15 which is the third answer.

.
A baseball coach draws names to decide who will be the first player at bat There are 5 girls and 10 boys on the team Describe and explain the probability of each outcome

a. The first batter is a girl

b. The first batter is a boy

Answers

Using the probability concept, it is found that:

a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.

b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:

P(girl) = 5/15 = 1/3.P(boy) = 10/15 = 2/3.

More can be learned about probabilities at https://brainly.com/question/14398287

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HELP PLS !!!! help help help

Answers

Answer:

x = 6

Step-by-step explanation:

(17*6)+6 = 108

Hi can someone help me with my math homework thankyouu

Answers

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

Using the equation, y=5x²−17x −12, determine whether the parabola opens upward or downward.

Answers

Answer:

opens upwards

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

given

y = 5x² - 17x - 12

with a = 5 > 0

then parabola opens upward

Can you help me plesae !? ​

Answers

Answer: Heyaa! ~

Your Answer is... 26.8

Step-by-step explanation:

The estimated answer is D. 27!

Hopefully this helps you! ^^

Answer:

27

Step-by-step explanation:

12.18 + 14.62= 26.80

if the number after the point is greater than 5 or equal to 5, we will add 1 to the number before the point, so now the number is 8 we will add 1 to the number before the point

26+1=27

therefore the sum of 12.18+14.62 = 27

In a batch of 390 water purifiers, 12 were found to be defective l. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

3.08 percent

Step-by-step explanation:

if you do proportions, then it would go like this:

12/390 = x/100

(cross multiply)

390x = 1200

(divide both sides by 390 to get x by itself)

x = 3.07692307692

round and its about 3.08 percent

sorry if its wrong im only in 6th grade

The battery life of a fully charged cell phone is normally distributed, with a mean of 14 hours and a standard deviation of 2 hours. What is the probability that a randomly selected cell phone will have a battery life of at least 8 hours

Answers

Answer:

.0013

Step-by-step explanation:

8 hours is 3 standard deviations BELOW the mean   z-score = -3

  from z scor table , tis corresponds to .0013

PLEASE SOMEONE HELP ME 50 POINTS AND I WILL MARK A BRAINLIEST

Answers

Answer:

First one is a, second one is d, and the third one is b

Step-by-step explanation:

hope this helps friend

Supply the missing number in the sequence: 10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000

Answers

The missing number in the sequence is 31

How to complete the sequence?

The sequence is given as:

10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000

The above sequence is a base 16-n sequence numbers

In base 16-n, the next number after 24 is 31

So, the complete sequence is:

10,11,12,13,14,15,16,17,18,19,20,22,24, 31, 100, 121, 10,000

Hence, the missing number in the sequence is 31

Read more about sequence at:

https://brainly.com/question/7882626

#SPJ4

A hotel with 80 rooms has 45 for doubles
and 35 singles. Singles can be booked in
any room, but reservations for two or
more people must be booked in double
rooms.
Let x be the number of single reservations and y
the number of reservations for two or more.
Which system of inequalities represents this
situation?
Click on the correct answer.
x ≥ 35 x + y ≤ 80
y ≤ 45 x + y ≤ 80
x≤ 35 x+y≤ 80
y≥ 45 x + y ≤ 80

Answers

Answer:

y ≤ 45

Step-by-step explanation:

First y must be less than or equal to 45.

y ≤ 45 x + y  ≤  80

And total number of reservations cannot exceed 80:

x + y  ≤  80.

7. Graph the equation using the slope and the​ y-intercept.
Please help

Answers

Answer:

See below ~

Step-by-step explanation:

Lukas is researching animals for a project. He has already researched 8 animals in school and continues to research 2 new animals each week from home. Choose the equation where w represents the number of weeks since Lukas started his research at home and n represents the number of animals Lukas has researched.
PLEASE ANSWER

Answers

Answer:

8+2w=y

Step-by-step explanation:

PLEASE HELP ME LOL. (2.4 x 10^5) + (6 x 10^²) =?

Answers

Answer:

240,600

Step-by-step explanation:

10⁵=100,000

2.4×100,000=240,000

10²=100

6×100=600

240,000+600=240,600

find the surface area of the cube

Answers

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

[tex]Area=6a^2[/tex]

Thus,

[tex]Area=6a^2[/tex]

[tex]Area=6(5)^2[/tex]

[tex]Area=6(25)[/tex]

[tex]Area=150[/tex]

Kavinsky

Can a triangle be made with the sides 15, 15, 30?

Answers

I don’t believe you can. You have to take the two smaller sides (in this case 15) add them together and they’ll need to have a sun greater than 30.—> 15+15>30 which in this case it’s equal to do it’s not possible. Hope this helped

Answer:

No

Step-by-step explanation:

15^2+15^2=450 not 900=3^2

Hope this helps! ;-)

Consider functions f and g

vvvv

Answers

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

Graph a line to represent the linear equation y=54x−4.

Answers

Answer:

yes it represents it because the linear equation

Someone please help me before I frl cry

Answers

Answer:

Equation: 4x = 128

[tex]m\angle 1 = 84\degree[/tex]

[tex]m\angle 2 = 96\degree[/tex]

Step-by-step explanation:

[tex]m\angle 1+ m\angle 2 =180\degree[/tex] (Linear pair angles)

-> (x + 52)° + (3x)° = 180°

-> (4x + 52)° = 180°

-> 4x + 52 = 180

-> 4x = 180 - 52

-> 4x = 128 ( This is the required equation)

-> x = 128/4

-> x = 32

[tex]m\angle 1 = (32+52)\degree = 84\degree[/tex]

[tex]m\angle 2 = (3*32)\degree = 96\degree[/tex]

Calculate the price of melons if melons cost $2.38 a pound and the melon on the scale weighs 2.2 pounds, making sure to round your answer to the nearest cent.

Answers

Answer:

$5.24 to nearest cent.

Step-by-step explanation:

Price of 2.2 pounds

= 2.38 * 2.2

= $5.236

Work out the equation of the line which has a gradient of 1/2 and passes through the point (2, -5)

Answers

Answer:

y=½x-6

Step-by-step explanation:

m= ½

equation of the line: y-y1=m(x-x1)

y+5=½(x-2)

y=½x-6

Answer:

[tex]y =\dfrac{1}{2}x-6[/tex]

Step-by-step explanation:

Point-slope formula

[tex]y-y_1=m(x-x_1)[/tex]

where:

[tex]m[/tex] = slope (gradient)[tex](x_1,y_1)[/tex] = point on the line

Given:

Gradient (m) = ¹/₂Point = (2, -5)

Substitute the given values into the formula:

[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}[/tex]

Please awnser my other question

Answers

Answer:

S = (-6, -1)

T = (-7, 4)

U = (-6, 9)

V = (-4, 4)

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