1. you invest $10,000 for 5 years at 4% interest. To the nearest cent, find the amount of money in the account after 5 years if:
a) The interest is simple interest.
b) The interest is Compound annually
c) The interest is Compound monthly
d) The interest is compound daily
2. After 20 years, the total amount in an investment earning 3.5% interest compounded quarterly was $16,061.05. To the nearest dollar, how much money was originally invested?
3. After 5 years, the total amount in an investment earning 4% interest compounded daily was $12,213.89. To the nearest dollar, how much money was originally invested?

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

1.

a) simple interest = PRT/ 100

I = 10,000 * 4 * 5/100

I =$ 2000

A = $10,000 + $ 2000

A =$ 12,000

b) A = P(1 + r/n)^t*n

Where;

A = amount

P = principal

r = rate per year

n = number of time the interest is compounded in a year

t = time in years

A = 10,000(1 + 0.04)^5/1

A = $ 12,166.5

c) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/12)^5*12

A =$ 12,210

d) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/365)^5*365

A=$ 12,213.90

2.A = P(1 + r/n)^t*n

$16,061.05 = P( 1 + 0.035/4) ^20*4

$16,061.05 = P (2.0076)

P = $16,061.05/2.0076

P= $8000

3.

A = P(1 + r/n)^t*n

12,213.89 = P(1 + 0.04/365)^5*365

12,213.89 = P(1.221)

P = 12,213.89/1.221

P = $10,003.2


Related Questions

sorry for the bad picture. I’m confused on how to solve this as it feels like I don’t have all the information needed.

Answers

hey can you help me with my homework
Answer is B -1

Solution solved below plus sorry for the bad writing.

100Points! show work

Answers

Using angle sum property

[tex]\\ \sf\longmapsto x+43+73+70=180[/tex]

[tex]\\ \sf\longmapsto x+43+143=180[/tex]

[tex]\\ \sf\longmapsto x+186=180[/tex]

[tex]\\ \sf\longmapsto x=180-186[/tex]

[tex]\\ \sf\longmapsto x=-6[/tex]

Option C is correct

Sum of angles of any triangle is 180°

x+43+73+70=180x+186=180x=180-186x=-6

Option C

No
© A
A cube
side 4cm has the same
as a cone with diameter 7cm. calculate
correct to the nearest cm,
the
گج
the height
heig
cone,​

Answers

The answer is A. to your question

A factory begun producing new parts. Data were collected on the
number of defective parts per 10,000 parts produced. The graph
shown displays some of the data for the first 10 weeks of production.
Write an equation that best models the data?

Answers

The equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

From the graph:

(10, 60) and (9, 70)

The line equation of best fit:

(y - 70) = (70-60)/(9-10)(x-9)

y - 70 = -10(x-9)

y - 70 = -10x + 90

10x + y = 160

Thus, the equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

4) What is the perimeter of a square that has an area of 262.44 feet?

Answers

Answer:

64.8 ft

Step-by-step explanation:

A square has all its sides equal

Therefore to get one side from its area is simply finding the square root of its area

√262.44=16.2ft

Having the one side then perimeter= to the four equal sides × the dimensions of one side

=4×16.2

=64.8 ft

The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02

Answers

Answer:

A. $0.89

Step-by-step explanation:

To find the constant of proportionality, find the cost of one pound of potatoes

3.56/4

= 0.89

So, the constant of proportionality is $0.89

The correct answer is A. $0.89

A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?

Answers

2 1/6

Explanation:
Divide 8 2/3 by 4
Which will be 2 1/6
Mark me brainliest please

solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation

Answers

Step-by-step explanation:

hope it helps

see attached

help please. Harry has raised $276 by selling 23 equally priced boxes of apples for the choir fund-raiser. Which of the following equations can be used to find the price, x, of each box of apples?

x − 23 = 276
x + 23 = 276
23x = 276
x ÷ 23 = 276

Answers

Answer:

The 3rd option

Step-by-step explanation:

If we find X then this would become a Mult. problem

23x=276
because when there’s an x attached to a number it means to divide by that number on both sides

hope this helps

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Answers

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

Determine whether the figure has line, point, and/or rotational symmetry.

Answers

Answer: do you have a picure to go with it sorry im not getting it?

Step-by-step explanation:

Anyone know how to answer this question

Answers

9514 1404 393

Answer:

  (x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

  ((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

  (x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

  (x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

  (x +6)^2 +(y -10)^2 = 225

How many 4 digit numbers are multiples of 8?

Answers

Answer:

The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.

Plz help me by solving this problem and showing how you got it

Answers

Answer:

y =84

Step-by-step explanation:

25/100*Y = 21

100/25 * 25y/100 =21 *100/25

y = 2100/25

y = 84

Answer: 25% of 84 is 21

Steps:
25% of blank is 21

Of means multiply
Is means equals

To change a percent to a decimal move the decimal place tow spots to the left

25% of blank is 21
25% * x = 21
0.25 * x = 21
x = 21 / 0.25
x = 84

Check:
0.25 * x = 21
0.25 * 84 = 21
21 = 21 ✅

If this was helpful and correct I would appreciate the brainliest! :)

The best fit line is given by the equation y=0.5x+0.4
, where y represents the distance in miles, and x represents the time for the trip in minutes.

Use the best fit line to estimate the distance for a trip that takes 20 minutes.

Enter your response in the box. Give the answer to the tenths place.

miles

Answers

Answer:

The anwser is 10.4

Step-by-step explanation:

0.5(20)+0.4

what is the missing reason in the proof shown ?

a. symmetric property
b. reflexive property
c. transitive property
d. commutative property

Answers

Answer:

A symmetric property

Step-by-step explanation:

Answer:

Reflexive property

Step-by-step explanation:

If n12=1536
then n=
Hellllllllllllllppppp

Answers

Answer:

this should help you understand...

Step-by-step explanation:

whats the absolute value of 23

Answers

-23



the absolute value is its opposite

Answer:

-23

Step-by-step explanation:


A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units

Answers

Answer:

45 sq. units

Step-by-step explanation:

3x5=15

15x3=45

write down four common multiple of 9 and 6​

Answers

Answer:

18, 36, 90, 180 are common multiples of 9 and 6

Step-by-step explanation:

1 Answer

multiples 6:{6,12,18,24,30,36,42,48,54,60,66,..}

multiples 9:{9,18,27,36,45,54,...}

common multiples {18,36,54,... }

Find the value of the variables or indicated side length in each isosceles triangle.

Answers

Answer:

x = 9°

y = 39°

Step-by-step explanation:

7x = 63

x = 9°

3y + 63 = 180

3y = 117

y = 39°

Do think it is A, B, C, D?

Answers

Answer:

D

Step-by-step explanation:

the 80*10=800

8 in 183= 80

8 in 4879 = 800

Does the graph represent a function?

Answers

Answer: NO

Step-by-step explanation:

If 20 out of 25 students in a P.E. class are boys, what percent of the class is made up of boys?

Answers

80% !
hope this helps

What is the length of missing side Y Options are on photo

Answers

Answer:

The selected answer is correct (8 cm)

Step-by-step explanation:

So in this problem

we are given that the total length of the composite figure is 14 cm (this including the rectangle's length and the triangle's base length)

We also happen to be given the rectangles length

So we can find the triangles base length by subtracting the total length of the figure by the length of the rectangle

Triangle base length = 14 cm - 6 cm

14 - 6 = 8

Hence the answer is 8 cm

A bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice. Johan
drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper
brand of punch. If the concentration of juice in the bottle is now reduce to 48%, what was
the concentration in the punch that Johan added?​

Answers

Answer:

The juice concentration in the punch that Johan added was 35%.

Step-by-step explanation:

Since a bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice, and Johan drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch, if the concentration of juice in the bottle is now reduced to 48%, to determine what was the concentration in the punch that Johan added, the following calculation must be performed:

750 = 100

650 = X

650 x 100/750 = X

65000/750 = X

86,666 = X

86.666 x 0.5 + 13.333 x 0.4 = 0.486662

86.666 x 0.5 + 13.333 x 0.39 = 0.4853287

86.666 x 0.5 + 13.333 x 0.35 = 0.4799955

Thus, the juice concentration in the punch that Johan added was 35%.

Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)

Answers

Answer:

SSS Theorem

[tex]x = 35.7[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) The similarity theorem

The given sides of the triangle are similar.

In other words, they are similar by sides.

Hence, the theorem is: SSS

Solving (b): Find x

To find x, we make use of the following equivalent ratios.

[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]

This gives:

[tex]\frac{14}{25} = \frac{20}{x}[/tex]

Cross multiply

[tex]14 * x = 20 * 25[/tex]

[tex]14 * x = 500[/tex]

Solve for x

[tex]x = \frac{500}{14}[/tex]

[tex]x = 35.7[/tex] -- approximated

2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x​

Answers

Answer:

What is your question

Step-by-step explanation:

Select all numbers that have an absolute value of 4.

Answers

wheres the numbers at?

Find the side length of a square with an area of 1521 m².​

Answers

Answer:

39

Step-by-step explanation:

a=A=1521=39

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