4. A savings account is started with $10,000. Calculate the
current value of the account in 5 years for both of the
following scenarios.

(a) Interest is earned at a rate of 2.3% and is compounded
monthly,

Answers

Answer 1

Answer:

$1217.50

Step-by-step explanation:

Given:

Principal P = $10000Interest rate r = 2.3% = 0.023Compound number n = 12Time t = 5 years

Interest amount is:

I = P(1+ r/n)^(nt) - PI = 10000(1 + 0.023/12)^60 - 10000 = $1217.50

Related Questions

-20 = -5 - 3x I need help on this​

Answers

Answer:

x=5

Step-by-step explanation:

add 5 to both sides

-20+5 = -3x

-15=-3x   (divide)

x=5

2³(3÷4+x)+12=2 iuybki[ojiouhnkluibkjb

Answers

Answer:

what?

Step-by-step explanation:

hansnskekkwkwnw

Answer:

X=-2

Step-by-step explanation:

1. Open up the brackets

You then get

6+8x+12=2

2. Send the whole numbers to the other sides

8x= 2-6-12

8x = - 16

3. Divide both sides by 8 to leave x alone

X=-2

Find the value of x.
Then find the value of y.

Answers

X=2 and y=152 because 15x-2=9x+10

Answer:

x = 2°y = 150°

Step-by-step explanation:

First, let's find x:-

(15x-2)° = (9x+10)°

15x-2 = 9x+10

6x = 12

x = 2°

Now, let's find y:-

28 + y° = 180°

y = 180-28

y = 150°

______________________

Hope this helps you!

Have a great day!

Express q/4p−q/p as a single fraction

Answers

Answer: -3q/4p

I hope this helps

The fraction q/4p−q/p as a single fraction is −3q/4p.

We are given that;

The fraction= q/4p−q/p

Now,

A fraction represents a part of a number or any number of equal parts.

To express q/4p−q/p as a single fraction, we need to find a common denominator for the two fractions and subtract them. The least common multiple of 4p and p is 4p, so we can multiply the second fraction by 4/4 to get an equivalent fraction with the same denominator:

q/4p−q/p = q/4p−(q/p)(4/4) = q/4p−4q/4p

Now we can subtract the fractions by subtracting the numerators and keeping the denominator:

q/4p−4q/4p = (q−4q)/4p = −3q/4p

Therefore, by the fraction answer will be −3q/4p.

Learn more about fraction;

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Please help this is times

Answers

skskskssks no penguins

the scientific notation, 170.04 is written as​

Answers

Answer: 1.7004 × 10^2

Step-by-step explanation:

Use distributive property to remove the parenthesis for:
(1-y+x)(-6)

Answers

-6+6y-6x

there ya go can u please give me brainliest

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

Find the interest on $4,000 at 3% for 4 months.

Answers

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:

What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500

Answers

9514 1404 393

Answer:

  minimum z: 3050

Step-by-step explanation:

The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).

The minimum value of z is ...

  30·59 +40·32 = 3050

if ABC is a straight line and angle CBD=119

Answers

Hello this is not question .

Which three lengths CANNOT be the lengths of the sides of a triangle? *
5 points
23m, 17m, 14m
O 11m, 11m, 12m
05m. 7m, 8m

Answers

Answer:

0.5m 7m 8m cannot be the lengths of the sides of a triangle.

Electromagnetic radiation is more common than you think. Radio and TV stations emit radio waves when they broadcast their programs; microwaves cook your food in a microwave oven; dentists use X rays to check your teeth. Even though they have different names and different applications, these types of radiation are really all the same thing: electromagnetic (EM) waves, that is, energy that travels in the form of oscillating electric and magnetic fields.
Consider the following:
radio waves emitted by a weather radar system to detect rain drops and ice crystals in the atmosphere to study weather patterns;
microwaves used in communication satellite transmissions;
infrared waves that are perceived as heat when you turn on aburner on an electric stove;
the multicolor light in a rainbow;
the ultraviolet solar radiation that reaches the surface of the earth and causes un-protected skin to burn; and X rays used in medicine for diagnostic imaging.
Which of the following statements correctly describe the various forms of EM radiation listed above?
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
D. They propagate at different speeds through non-vacuum media depending on both their frequency and the materialin which they travel.
E. They require different media to propagate.

Answers

Answer:

A. They have different wavelengths.

B. They have different frequencies.

C. They propagate at different speeds through a vacuum depending on their frequency.

Step-by-step explanation:

Electromagnetic waves have electric and magnetic fields which travel in the free space together. They travel at the speed of light and accelerate by particle oscillates. EM radiations are differently used for different purposes. They are modified in order to create micro waves or radio waves.

Which set of sides would make a right triangle?​

Answers

Answer:

c

Step-by-step explanation:

Give each trig ratio as a fraction in its simplest form.
Sin Q = Cos Q = Tan Q = Sin R = Cos R= Tan R=​

Answers

Answer:

sin q = 14/50

cos q = 24/25

tan q = 7/24

sin r = 24/25

cos r = 7/25

tan r = 24/7

Step-by-step explanation:

The required trigonometric ratio are as follows;

[tex]SinR= \frac{24}{25}, CosR = \frac{7}{25}, TanR = \frac{24}{7} \\\\SinQ = \frac{7}{25}, CosQ = \frac{24}{25}, TanQ = \frac{7}{24}[/tex]

WE have to determine the trigonometric function in simplest form.

In order to find trigonometric ratio, In right angle triangle QRP.

Length of PR = 14

Length of QR = 50

To find length of PQ using Pythagoras theorem.

[tex](H)^{2} = (P)^{2} + (B)^{2}\\\\(50)^{2} = (14)^{2} + (B)^{2} \\\\B^{2} = 2500 - 196\\\\B^{2} = 2304\\\\B = 48[/tex]

Length of PQ is 48.

Therefore,

Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)

Then,

[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{14}{50}\\\\SinQ = \frac{7}{25}[/tex]

The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{48}{50} \\\\CosQ = \frac{24}{25}[/tex]

The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{14}{48} \\\\TanQ = \frac{7}{24}[/tex]

And In right angle triangle RPQ,

Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{48}{50}\\\\SinQ = \frac{24}{25}[/tex]

The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{14}{50} \\\\CosQ = \frac{7}{25}[/tex]

The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{48}{14} \\\\TanQ = \frac{24}{7}[/tex]

To know more about Trigonometric function click the link given below.

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The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?​

Answers

Answer:

15.78

Step-by-step explanation:

4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78

Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many years will the food last? Write your answer in simplest form

Answers

Answer:

24

Step-by-step explanation:

24 divuded by .75 = 32 Meals

A circular walk is 1.5 meters wide, if the outer circumference is 72 meters, what is the inside diameter of the walk?​

Answers

9514 1404 393

Answer:

  about 19.92 meters

Step-by-step explanation:

The circumference is ...

  C = πd

  72 m = πd . . . . . for outer diameter d

  d = (72 m)/π

The inner diameter is 3 meters shorter, so is ...

  inner diameter = (72/π) m - 3 m ≈ 19.92 m

Help please i need i will mark you brill

Answers

Answer:

(x^2)*(56+3.42)

i think that is the answer

Step-by-step explanation:

Factor Completely:

16x8−81y8

Answers

Answer:

Step-by-step explanation:

16x⁸ - 81y⁸ is the difference of squares.

16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)

Note that 4x⁴ - 9y⁴ is also the difference of squares.

4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)

16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)

20 minus 8 help
.... 6×7. 2 differt questions answer separately

Answers

20-8=12

6x7=42

i shall say this is correct

Answer:

43.2

Step-by-step explanation:

What’s b I have to type it in

Answers

Answer: solve the problems and then divide it

Step-by-step explanation:

Divide the given polynomial by the given monomial.​

Answers

Answer:

Looks like all of your questions have been answered.

A health fitness research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend each week exercising at the center. They want to estimate the mean within a margin of error of 0.4 hours with a 95% level of confidence. Previous data suggest that the population standard deviation (sigma) is 2.6 hours. What is the smallest sample size that meets these criteria

Answers

Answer:

the smallest sample size is 163

Step-by-step explanation:

The computation of the smallest sample size that meets these criteria is shown below:

n = (Z a/2 ×  Standard deviation  ÷ Margin of error ) ^2

Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )

Standard Deviation ( S.D) = 2.6

Margin of error i.e. ME =0.4

n = ( 1.96 × 2.6 ÷ 0.4) ^2

= 163

Hence, the smallest sample size is 163

The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?

Answers

X+y= 80.6
9x=y
Then x+9x=10x=80.6
X=8.06
Y=72.54

Maureen's drink coaster has a diameter of 12 centimeters. What is the coaster's area?

Answers

Answer: 113.1 cm

Step-by-step explanation:

Area of circle: (pi) * r^2
Find radius: 12/2 = 6
Assuming pi = 3.14
3.14 * 6^2 = 3.14 * 36 = 113.04
The area is 113.04

I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE

Answers

Answer:

50

Step-by-step explanation:

a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees

Please help me!!
A. Identify the quadrant point C is in. B. Identify the point that is on an axis. Which axis is it?

Answers

Answer:

Quadrant 2, x-axis

Step-by-step explanation:

Point C is on top left side of the x-y graph, which is quadrant 2.

An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it.  The y axis is the vertical line, noted at the top of the line.

The only line that's on a line is point D and it's on the x-axis.

A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?

A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds

Answers

Answer: D. took quiz :)

Step-by-step explanation:

Answer: d. the probability of a time from 75 seconds to 250 seconds

Step-by-step explanation:

There are 200 male students at a particular school. Of these, 58 play football. 40 play basketball, and
8 play both
a) Draw and label a Venn diagram for this situation.
b) How many play both sports.
c) How many play basketball but not football?
d) How many play football but not basketball?
e) How man do not play football or basketball?
CORRECT ANSWERS ONLY

Answers

Answer:

B) 8 play both

C)32 play only basketball

D) 50 play only football

E) 110 play none

The Venn Diagram is a method of representing stets in a logical manner. The number of students who don't play any of the sports is 110.

What is Venn Diagram?

The Venn Diagram is a method of representing stets in a logical manner.

Given that there are 200 male students at the school. Also, Of these, 58 play football, 40 play basketball, and 8 play both.  

A.) The venn diagram can be drawn as shown below.

B.) The number of students who play both sports is 8.

C.) The number of students who play basketball but not football, are the student in the blue circle. Therefore, the number of students is 32.

D.) The number of students who play football but not basketball, are the student in the red circle. Therefore, the number of students is 50.

E.) The number of students who don't play any of the sports,

= Total student - Basketball playing student - Football playing student

- both sports playing student

= 200 - 50 - 32 - 8

= 110

The number of students who don't play any of the sports is 110.

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PLEASE HELP ME!?!
(2 questions)

Answers

photo math is the anwser :) just scan the question (top part only the question not the anwsers) and it will give u the anwsers u welcome :)
For the first one x = -5
Second one is x = 24
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