Bank of America offers a 5-year 8% continuously compounded investment option.
Find the amount accrued if $1450 is invested.

Answers

Answer 1

Answer:

A = $2130.49

Step-by-step explanation:

Given the following data;

Time, t = 5 years

Interest rate, r = 8%

Principal = $1450

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 1450(1 + \frac{8}{100})^{5}[/tex]

[tex] A = 1450(1 + 0.08)^{5}[/tex]

[tex] A = 1450(1.08)^{5}[/tex]

[tex] A = 1450 * 1.4693 [/tex]

A = $2130.49


Related Questions

Show all 4 steps of the following:
x - 3/5= 1/6

Answers

Answer: x=23/30

Step-by-step explanation: Hope this help :D

Angles of Triangles Scavenger Hunt Answer Key

Answers

I think every one appreciates it , lol but thank you kiddo

Which of the following equations represents a proportional relationship?
6/9 = 24/32
8/3 = 36/14
3/2 = 15/12
4/8 = 15/30

Answers

6/9=24/32 is the answer

A circle has a circumference of 113.04 units.

Answers

Answer:

The answer may or may not be either the diameter is 36 units, or the radius is 18 units.

Step-by-step explanation:

Since there is no question, then I am just assuming the question is what is the diameter or the radius. You would find this by dividing the circumference by pi:

113.04 / 3.14 = the diameter is 36

36 / 2 = the radius is 18

I hope this was helpful!!! Could I get brainliest?

Have a nice day!!


Find the measure of HJK

Answers

Answer:

m<HJK = 40°

Step-by-step explanation:

Given:

m<HJK = 3x - 2

m<KJL = 50°

Required:

m<HJK

Solution:

m<HJK + m<KJL = 90° (complementary angle)

Substitute

3x - 2 + 50 = 90

Add like terms

3x + 48 = 90

3x + 48 - 48 = 90 - 48

3x = 42

3x/3 = 42/3

x = 14

✅m<HJK = 3x - 2

Plug in the value of x

m<HJK = 3(14) - 2 = 42 - 2

m<HJK = 40°

Practice:

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-112°

a. 0.98 units
b. 0.62 units
c. 0.62 units clockwise
d. 1.95 units clockwise

Please select the best answer from the choices provided

Answers

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

Julie has basketball practice every 6 days and track practice every 4 days. In how many days will she have both basketball and track practice

Answers

Answer: 12 days

Step-by-step explanation:

For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:

Multiples of 4 = 4, 8, 12, 16, 24.

Multiples of 6 = 6, 12, 18, 24, 30.

The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days

Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74

Answers

Given:

The expression is:

[tex]2.74x-7.9[/tex]

To find:

The expressions that can be set equal to the given expression to form an equation that has no solution.

Solution:

We have,

[tex]2.74x-7.9[/tex]                     ...(i)

An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.

The expression with same variable term and different constant term is:

[tex]2.74x+7.9[/tex]                    ...(ii)

Because on equating (i) and (ii), we get

[tex]2.74x-7.9=2.74x+7.9[/tex]

[tex]-7.9=7.9[/tex]

This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.

Therefore, the correct option is C.

Find the missing number in each sequence
Will give Brainliest

Answers

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

FRACTION. 24.5 as a Fraction in simplest form   24 1/2

29.6 as a fraction is 29 3/5

plz mark brainly

can someone help me on this

Answers

Answer:

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

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

[tex] \frac{2}{4} = \frac{4}{8} [/tex]

Step-by-step explanation:

To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.

Let's solve the given problem:

Problem 1:

[tex] \frac{3}{4} = \frac{x}{12} [/tex]

To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.

Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.

Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.

Thus:

[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.

Problem 2:

[tex] \frac{1}{3} = \frac{2}{x} [/tex]

The numerator, 1, was multiplied by 2 to get 2.

Therefore:

[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]

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

Problem 3:

[tex] \frac{2}{4} = \frac{x}{y} [/tex]

We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.

Let's multiply by 2 to get am equivalent fraction.

[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]

[tex] \frac{2}{4} = \frac{4}{8} [/tex]

I need help Asap , please.

Answers

LOL LOL LOL LOL LOL LOL LOl LOL

ANSWER FAST
NO LINKS
23=x-13

9+x=14

12=x+8

Answers

Answer:

23=x-13, x=36

9+x=14, x=5

12=x+8, x=4

Step-by-step explanation:

23=x-13. You want to isolate x so you have to add 13 to both sides. x=23+13, x=36

9+x=14. You want to isolate x so you have to subtract 9 from both sides. x=14-9, x=5.

12=x+8. You want to isolate x so you have to subtract 8 from both sides. x=4.

If this has helped please mark as brainliest

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

heyy matee...

see

Vertices (V) = 8

Faces (F) = 6

Edges (E) => F + V - E = 2 (EULER'S FORMULA)

so 6 + 8 - 2 = E => E = 12

now just look at options

and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid

and another name of cuboid is rectangular prism ;)

hence answer is option c - rectangular prism

brainliest possible ?

HELP MEEE! I NEED IT RIGHT NOW!

Answers

Answer:1/16 for each of us

Step-by-step explanation:

Since only 1/4 is left and you and the teachers are splitting it up,you’d get 1/16 each because the half of 1/4 (1/8) was split into 2 (1/16)

I need this please help me

Answers

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.

This means x = 105° +15° = 120°.

The true statements are ...

  B. angle 2 = angle 6

  C. x = 120°

  D. angle 1 and angle 6 are supplementary

9 – 3 (2+6)÷6 -2 × 5? step by step please

Answers

9-3(2+6)/6-2x5

9-3x8/6-2x5

9-3x8/6-10

9-4-10

the answer is -5

4. Triangle Relationships- Interior and Exterior Angles
Find the measure of angle 1 and angle 2. Be sure to show all work related to each answer.
S
a. m21
42°
1/2
30°
M
b. M22
A

Answers

Answer:

Value of ∠1 = 102°

Value of ∠1 = 72°

Step-by-step explanation:

Given:

∠ S = 42°

∠ A = 30°

Find:

Value of ∠1

Value of ∠2

Computation:

Using angle sum property;

Sum of all interior angle of a triangle = 180°

∠ S + ∠ A + ∠ 1 = 180

42 + 30  + ∠ 1 = 180

72 + ∠ 1 = 180

∠ 1 = 180 - 72

∠ 1 = 102

Value of ∠1 = 102°

∠ 1 and ∠ 2 makes a straight line

So,

∠ 1 + ∠ 2 = 180  

102 + ∠ 2 = 180  

∠ 2 = 180 - 102

∠ 2 = 72

Value of ∠1 = 72°

which features describe the graph of y^2/96^2 - x^2/40^2 = 1? select two options

◽️a focus at (104, 0)
◽️a focus at (0, - 96)
◽️a vertex at (- 40, 0)
◽️a vertex at (0, 96)
◽️the center at (0, 0)

Answers

Answer: d and e

Step-by-step explanation:

Edge 2021

The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation  [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]

From the given equation,

a = 40

b = 96

(h,k) = (0,0),

The vertices are at (0,96) and at (0, -96).

The curves open upward and downward.

c² = a² + b²

c² = 40² + 96²

c² = 10816

c = 104

Therefore the foci are at (0, -104) and (0, 104).

Hence, the option describes the graph

4. a vertex at (0, 96) is correct.

5. the center at (0, 0) is correct.

Learn more about equations here;

https://brainly.com/question/27056029

#SPJ2

A group of cat owners was asked about the number of cats each owns. The results are shown in the frequency table. Number of Frequency cats 1 2 2 3 3 3 1 4 4 Which dot plot correctly shows the data? Cats Owned O A. 3 Number of cats Cats Owned B. 2 3 Number of cats Cats Owned 2 Number of cats Cats Owned

Answers

Answer:

Cats Owned B. 2 3

Hope I helped! :)

Round your answer to the nearest hundredth.
BC=

Answers

Answer:

0.95

Step-by-step explanation:

tan35° = x/2

solve for x

x = 2tan35°

x = 0.947629

round to nearest hundredth

x = 0.95

A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.

How many packs of pens does the manufacturer make, and how many pens are left over?

Answers

Answer:

1408 packs

2 pens left over

Step-by-step explanation:

5634 / 4 = 1,408.5

half a pack is 2 pens

1408 packs

2 pens left over

Find the value of H if H = I^2 R^t÷4.2,R =8.3,I=2.4 and t=37

Answers

Answer:

[tex]H = 6492.97[/tex]

Step-by-step explanation:

Given

[tex]H = \frac{I^2Rt}{4.2}[/tex]

[tex]R =8.3;\ I=2.4;\ t=37[/tex]

Required

Find H

We have:

[tex]H = \frac{I^2Rt}{4.2}[/tex]

[tex]H = \frac{37^2 * 8.3 * 2.4}{4.2}[/tex]

Solve the exponents

[tex]H = \frac{1369 * 8.3 * 2.4}{4.2}[/tex]

[tex]H = \frac{27270.48}{4.2}[/tex]

[tex]H = 6492.97[/tex]

The population of a city increases by 4.7% per year. If this
year's population is 77,000, what will next year's population
be, to the nearest individual?

Answers

Next year’s population would be 80,619.


Factorize
x

[tex]x ^{3} - 3x - 2 [/tex]

Answers

[tex]x ^{3} - 3x - 2 [/tex]

x³-2x²+2x²-3x-2

x²(x-2)+2x²-4x+1x-2

x²(x-2)+2x(x-2)+1(x-2)

(x-2)(x²+2x+1)

(x-2)(x+1)(x+1)is a required answer.

PLEASE HELP ME PLEASEE !

Answers

Answer:

[tex]\sigma = 0.831[/tex] --- Standard deviation

[tex]Mode = 10[/tex]

Step-by-step explanation:

Given

[tex]x = 9,8,10,9,8,10,9,10,8,10[/tex]

Solving (a): The population standard deviation

First, we calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{9+8+10+9+8+10+9+10+8+10}{10}[/tex]

[tex]\bar x = \frac{91}{10}[/tex]

[tex]\bar x = 9.1[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{n}\sum (x - \bar x)^2}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{1}{10}*[(9 - 9.1)^2+.................+(10- 9.1)^2]}[/tex]

[tex]\sigma = \sqrt{\frac{1}{10}*6.9}[/tex]

[tex]\sigma = \sqrt{0.69}[/tex]

[tex]\sigma = 0.831[/tex]

The mode is:

[tex]Mode = 10[/tex]

10 has the highest frequency of 4

Evaluate the expression (2x + 5)2 -3x at the value x = -1

Answers

Answer:

2

Step-by-step explanation:

Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?

a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y

Answers

9514 1404 393

Answer:

  a. the volume of cube y is 125 times the volume of cube x

Step-by-step explanation:

The volume of cube x is ...

  V = s³ = (1 in)³ = 1 in³

The volume of cube y is ...

  V = (1 in + 4 in)³ = (5 in)³ = 125 in³

The volume of cube y is 125 times the volume of cube x.

Enter "y" or "n" to tell which value of x that make each equation or inequality true.

Answers

Answer:

First row (2x + 5 = 9) is N Y N

Second row (2x + 5 < 9) is Y N Y

Third Row (2x+ 5 _< 9) is N Y Y

Which is smaller 2.5 or.5?

Answers

.5 is smaller than 2.5

The Unit Circle

What is the domain of a cosine function?

a. irrational numbers
b. All real numbers
c. rational numbers
d. positive integers

Please select the best answer from the choices provided

Answers

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

B) All real numbers

The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

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