Maria invests her $150 for 2 years at 4% per year compound interest.
A) Calculate the exact amount Maria has at the end of 2 years.
Maria continues to invest her money at 4% per year compound interest.
After 20 years she has $328.67.
i) Calculate exactly how much more this is than $150 invested for 20 years at
simple interest.
(ii) Calculate $328.67 as a percentage of $150.

Answers

Answer 1

Step-by-step explanation:

A)At the end of 2years compound interest=$150(1+4/100)²=$162.24

i) Amount difference=$328.67-{($150×4×20/100)+$150}

=$328.67-$270=$58.67

ii)328.67/150×100%=121.73%


Related Questions

Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?

Answers

Answer:

The answer would be A which is L

Answer:

so its A?

Step-by-step explanation:

Why is the boxplot incorrect?
The following are the temperatures, in degrees
Fahrenheit, of 20 US cities on April 3rd. The boxplot
represents the data
42, 47, 48, 50, 50, 50, 51, 51, 52, 52, 54, 55, 55, 55, 56,
57, 58, 59, 59, 60
O The minimum temperature is 42°F, but the boxplot
shows 46°F.
O The maximum temperature is 60°F, but the boxplot
shows 66°F.
O The median temperature is 53°F, but the boxplot
shows 52°F.
O The first quartile temperature is 50°F, but the
boxplot shows 53°F.
April 3 Temperatures
46 48 50 52 54 56 58 60

Answers

Step-by-step explanation:

The minimum temperature is 42F, but the boxplot shows 46F

Answer:

A) The minimum temperature is 42°F, but the boxplot

shows 46°F.

How do you use substitution to solve a system of linear equations?

Answers

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

(hope this helps :) )

Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?

Answers

Answer:

1080

Step-by-step explanation:

if 10 percent are left handed that means that 90 percent are right handed

number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080

Answer:

120

Step-by-step explanation:

10%=0.1

1200*0.1=120

Can someone please help

Answers

Answer:

-3/4 is correct answer

Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9

Answers

Answer:

3) 9x² - 5x - 9

Step-by-step explanation:

Combine like terms

5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x²  - 9x + 4x    + 3 - 12

                                           = 9x² - 5x - 9

What is electrical energy converted to inside a toaster?
A. thermal energy and light
B. nuclear energy
C. chemical energy
D. kinetic energy

Answers

I believe it is C :)
The electric energy converted in a toaster is A thermal and light

solve for x parallel ​

Answers

I have this same question can you let me know when someone answer it

could somebody help me on the 2 question please

Answers

-20 because after the the thermometer hits zero the more negative the temperature gets the colder it is

Answer:

on question 2 the one which you need to write is -20 degrees bcz it's colder than -10 degrees

Step-by-step explanation:

where is the question 1

+this sentence :" is -20 degrees bcz it's colder than -10 degrees "is a 2answer sentence

hope this helps

All 7 crawfish in Gumbo's family love hot dogs. Gumbo's mom made 20 hot dogs for
supper one night. Is that enough for each of them to have 3 hot dogs?
No
Yes

Answers

Answer:

no

Step-by-step explanation:

if there is 7 of them and each have 3 that would call for 21 hot dogs

if an object has a density of 3.6g/ml and you put it into water, will it sink or float?​

Answers

Answer:

Sink

Step-by-step explanation:

We need to find if an object with a certain density will float or sink in water.

The object will sink in water.

The density of the object is 3.6 g/mL

The density of water is generally [tex]1000\ \text{kg/m}^3[/tex]

An object which has a density more than the liquid it is in then the object will sink.

Let us convert the density of the object to [tex]\text{kg/m}^3[/tex]

[tex]1\ \text{g}=10^{-3}\ \text{kg}[/tex]

[tex]1\ \text{mL}=10^{-6}\ \text{m}^3[/tex]

[tex]1\ \text{g/mL}=\dfrac{10^{-3}}{10^{-6}}=10^3\ \text{kg/m}^3[/tex]

[tex]3.6\ \text{g/mL}=3.6\times 10^3=3600\ \text{kg/m}^3[/tex]

The density of the object [tex](3600\ \text{kg/m}^3)[/tex] is greater than that of water [tex](1000\ \text{kg/m}^3)[/tex].

Hence, the object will sink.

Learn more:

https://brainly.com/question/18950364

https://brainly.com/question/2200299

P(x) = 2x3 – x2 + 4x + 5 is divided by x + 2. Choose the correct option from each drop-down menu.

When P(x) is divided by x + 2, the remainder is [ ] P(–2) = [ ]. The Remainder Theorem is [verfied/not verified] ]

Answers

The remainder of the division of polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) is; -23

The remainder of the division of the polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) can be evaluated by the remainder theorem.

This involves adding evaluating the value of the polynomial at, x = -2.

Since, (x +2) is the Divisor, we evaluate, P(x) at x = -2

Therefore, we have;

P(-2) = 2 ×(-2)³ -(-2)² + 4(-2) + 5

P(-2) = -16 -4 -8 +5

P(-2) = -23.

Therefore, the remainder when P(x) = 2x3 – x2 + 4x + 5 is divided by (x + 2) is; -23

Read more:

https://brainly.com/question/11456067

Find the rate of change
Pls help thx

Answers

Answer:3

Step-by-step explanation:

Go up from one point to the other and whatever the number comes is the answer.

Transitive Property of Congruence
If MN = LK and LK = OP, then

Answers

Answer:

If MN=LK and LK=OP, then MN= OP

Answer:

MN = OP

Step-by-step explanation:

I need help wit this ​

Answers

Answer:

75

Step-by-step explanation:

\+_+/

{16
x+y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?

Answers

Answer:

See below.

Step-by-step explanation:

It represents the coordinates of the point of intersection of the lines represented by the 2 equations.

Do you want them solved?

Graph y < x and y ≥ 4x + 2

Answers

Answer:

Image is attached.

Step-by-step explanation:

Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.

Name the property that justifies the following statement: If 2x + 4 = y and y = 3x - 6 then 2x + 4 = 3x - 6.

Answers

9514 1404 393

Answer:

  transitive property of equality

Step-by-step explanation:

The transitive property of equality says ...

  if a = b and b = c, then a = c.

Here, we can use this form with ...

  a = 2x+4

  b = y

  c = 3x-6

__

We have ...

  a = b   ⇒   2x +4 = y

  b = c   ⇒   y = 3x -6

so, ...

  a = c   ⇒   2x +4 = 3x -6 . . . . transitive property of equality.

_____

On the other hand, ...

The substitution property of equality says ...

  if a = b, we can use b wherever 'a' is seen.

We can use this with ...

  a = y

  b = 3x -6

and do the substitution in the equation ...

  2x +4 = y

Replacing y with its equal, we get ...

  2x +4 = 'a'   ⇒   2x +4 = 'b'   ⇒   2x +4 = 3x -6 . . . . substitution property of equality

_____

Additional comment

These are two different ways to say that anything can be replaced by its equal.

Why do 25 ÷ 10 and 250 ÷ 100 give the same answer?

Answers

Answer:

One zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]

Step-by-step explanation:

[tex]25[/tex] ÷ [tex]10[/tex] [tex]=\frac{25}{10}=\frac{5}{2}[/tex]

[tex]250[/tex] ÷ [tex]100[/tex] [tex]=\frac{250}{100}=\frac{5}{2}[/tex]

Therefore,

[tex]25[/tex] ÷ [tex]10[/tex] [tex]=[/tex] [tex]250[/tex] ÷ [tex]100[/tex]

Here, 25 ÷ 10 and 250 ÷ 100 give the same answer.

Here, one zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]

I have a question on Khan Academy and it says super salad dressing is made with 8 mL of oil for every 3 ml of vinegar which of the following mixtures will take the same as super salad dressing
then it says choose 3 answers there's 5 choices a b c and d a is 80 ml of oil with 30 ml of vinegar

B is 3 ml oil with 8 ml of vinegar
C is 56 mL of oil with 21 mL of vinegar
d 40 mL of oil with 25 mL of vinegar
e is 48 mL of oil with 18 mL of vinegar ​

Answers

Answer:

e

Step-by-step explanation:

8ml x 6= 48ml of oil

3ml x 6= 18ml of vineger

Identify the parent function. 5 --5
a absolute
b reciprocal
c cube root
d square root​

Answers

Step-by-step explanation:

For an absolute value function, the graph will look like an arrow with a sharp inflection point.

Reciprocal function will tend towards a limit when stretched to infinity.

Cube root and square root functions do not tend towards infinity at x = 0, because it is either 0 or the constant value.

The best answer here is Reciprocal. (B)

Answer:

b reciprocal

Step-by-step explanation:

The graphed is the function y = 1/x, it is an odd function and the graph is hyperbola

The function is reciprocal

Correct option is B

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

p = √24

Step-by-step explanation:

5² = 1² + p²

25 - 1 = p²

p² = 24

p = √24

The following rectangle has an area of 3x^2-5x-12. What are the possible side lengths, in terms of x? Explain your answer and justify how you know that the sides you found are possible lengths

Answers

Answer:

the possible side lengths:

3x+4 and x-3

Step-by-step explanation:

factorize the the expression and you will get two expressions in terms of x. those expressions are the lengths of the rectangle

[tex]3 {x}^{2} - 5x - 12[/tex]

1) write -5x as a difference

[tex]3 {x}^{2} + 4x - 9x - 12[/tex]

2) factor out x from the expression 3x²+4x

[tex]x(3x + 4) - 9x - 12[/tex]

3) factor out -3 from the expression -9x-12

[tex]x(3x + 4) - 3(3x + 4)[/tex]

4) factor out 3x+4 from the expression

[tex](3x + 4)( x - 3)[/tex]

the possible lengths are 3x+4 and x-3

to check whether the answer is correct, you can just multiply the both lengths using the area of rectangle formulae

area of rectangle formulae

[tex]length \times height[/tex]

(3x+4)(x-3)

= 3x²-9x+4x-12

= 3x²-5x-12 ( proven )

Write an equation that will satisfy the x and y values in the table below.

Answers

Answer:

The equation that will satisfy x and y values in the table is y = 2x + 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line that represents the equation b is the y-intercept, value y at x = 0

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

From the given table

∵ x = 0 and y = 3, x = 1 and y = 5

x1 = 0 and x2 = 1

y1 = 3 and y2 = 5

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{5-3}{1-0}[/tex] = [tex]\frac{2}{1}[/tex]

m = 2

∵ b is the value of y at x = 0

∵ y = 3 at x = 0

b = 3

→ Substitute the values of m, b in the form of the equation above

y = 2x + 3

The equation that will satisfy x and y values in the table is y = 2x + 3

which graph represents the equation (x-3)^2 + y^2 =16

Answers

Answer:

C

Step-by-step explanation:

Got it right

Answer:

Graph C

Step-by-step explanation:

Edge

Which of the following is equivalent to 5x - x + 3x = 30? A 8x = 30 o 7x = 30 с 3x + 5= 30 x = 30​

Answers

Answer:

Step-by-step explanation:

5x -x + 3x =30,  first you combine like terms 5x + 3x-x=30

8x-x =30

8-1=7

7x=30

Answer:

7x=30

Step-by-step explanation:

7x=30

NEED HELP ASSP!! please help!!??

Answers

Answer:

Step-by-step explanation:

this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30

also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides

Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle

CAH = Cos(Ф) = Adj/ Hyp   we are given the Ф angle and we know the hypotenuse so solve for the Adj side

Hyp*Cos(Ф)= Adj

10 * Cos(60) = Adj

5 = Adj = y

Use Sin for the other side  and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet

Sin(Ф) = Opp/ Hyp

Hyp * Sin (Ф) = Opp

10 * Sin(60) = Opp

10 *[tex]\sqrt{3}[/tex]/2 = Opp

5*[tex]\sqrt{3}[/tex] = Opp = x

:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2  from a table and also my memory .. know that one from memory

Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the length of his path to the nearest tenth of a foot

Answers

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle [tex]ABCD[/tex] as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}[/tex]

a factor of all even numbers other than 1? pls answer quick​

Answers

Answer: 2

Explanation: 2 is a prime number that is a factor for all even numbers.

HURRY PLEASEEE!!!! it’s due soon!!

Answers

Answer:

Cost for 2 hours= $19

Step-by-step explanation:

11+4t

Answer:

2 hours: $19

t hours: 4t+11

Step-by-step explanation:

you pay 4 dollars per hour so it would be 4t and the entry fee is 11, so you add them together.

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