You put $150 in a bank account that offers a 1% interest rate, compounded annually. How much will you have after 10 years?

Answers

Answer 1
[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$150\\ r=rate\to 1\%\to \frac{1}{100}\to &0.01\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &10 \end{cases} \\\\\\ A=150\left(1+\frac{0.01}{1}\right)^{1\cdot 10}[/tex]

Related Questions

Divide 3x2 + 6 by 3x – 3.
Which expression represents the quotient and remainder?
x + 3x/3x - 3

x + 1 + 9/ 3x - 3
x - 9x/ 3x - 3

Answers

[tex] \frac{3 x^{2}+6}{3x-3}=x + \frac{3x+6}{3x-3} = x + 1 + \frac{9}{3x-3} [/tex]

[tex] \frac{3 x^{2}+6}{3x-3}= x + 1 + \frac{9}{3x-3} [/tex]

The requried value of the given expression is (x² + 2)/x - 1.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1

Thus, the requried value of the given expression is (x² + 2)/x - 1.

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The sum of x to the sixth power and 3 times x

Answers

sum means add
x to the 6th power is [tex]x^6[/tex]
3 times x is 3x

sum of x to the 6th power and 3 times x is [tex]x^6+3x[/tex]

Sue scored a total of 35 points in two games. she scored 6 times as many points in the second game is the first. how many more points did she score in the second game?

Answers

ratio  of points first gamed to second game  = 1:6 
Total points is 35   so she  scored 1/7 of 35  = 5 points in first game and  30 points in the second.

Answer 30 points

A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?

Answers

Let N equal the number of nickels.
Let D equal the number of dimes.
Let Q equal the number of quarters.

We know that .05N + .10D + .25Q = 5.50.
We also know that N + D + Q = 30.
We also know that D = 2N.

Therefore, Q = 30 - (N + D) = 30 - (N + 2N) = 30 - 3N

So...

5.50 = .05N + .10(2N) + .25(30 - 3N)
= .05N + .20N + 7.50 - .75N

Therefore (moving all N's to the left of the equals sing, and all constants to the right of the equals sign)...

.5N = 2.

Therefore, N = 4. There are four nickels, eight dimes, and 18 quarters.

Checking our work...
Four nickels is 0.20.
Eight dimes is 0.80.
18 quarters is 4.50.

That sums to 5.50, and is 30 coins.

Consider the trinomial below x^2-20x+91 The factors of the given trinomial are

Answers

 x² - 20x + 91
x              -13   
x              -7

your answer is (x - 13) (x - 7)

hope this helps
the answer is (x-7)(x-13)

hope it helps

If y is directly proportional to x and if y=50 when x=25, find k, the constant of proportionality.

Answers

Thanks for the question!

to find k, divide y and x:

50/25
2

k = 2

Hope this helped!

Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a queen?

Answers

In a deck of cards, there is a 3 in every suit...that's four 3's.
There are also a queen in every suit...that's four queens as well.
Therefore, there are 8 cards in the deck which are either 3 or queens.
8/52 is base probability. Reduce by dividing out a 4 from both terms.

P(drawing a 3 or queen) = 4/13 

Final answer:

The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.

Explanation:

The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).

The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:

P(A) = Number of favorable outcomes / Total number of outcomes

Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.

This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.

What is the area of this shape ?

Answers

12 *16 = 192

1/2 *20*10 = 100

192 +100 = 292 square units

A recipe calls for 2 1/4 cups of sugar. You want to make only 1/3 of the recipe. how much sugar will you need?

Answers

to only make 1/3 of the recipe you would divide all ingredients by 3 or multiply by 1/3, same thing.

Convert 2 1/4 to single fraction first
9/4 * 1/3 = 9/12 = 3/4 cup sugar

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample

Answers

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

[tex]|AB|^2=|BC|^2+|AC|^2[/tex].


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

True


Contrapositive statement:

if The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]  then Triangle ABC is not a right triangle with m(C)=90°


True









Answer:

2022 na wala parin sagot?

Step-by-step explanation:

tsk tsk tsk
kawawi ka naman

I can't do this and it's urgent

Answers

(for the first question) False, because sometimes when a number ending in 6 is halved, the last number can be an 8. For example, 56 halved is 28. 

(for the second one) False; not all numbers ending in 3 are prime since some numbers like 63 have factors of 3 and 21.
I agree with the first answer

Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.

Answers

X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)

A particular Egyptian pyramid is 22 feet tall, but the length across the base is unknown. There is a scale model of the pyramid that is 2 feet tall, and it has a base length of 1.3 feet. What is the base length of the actual pyramid?

Answers

22/2=11
11*1.3=14.3
the length across the base is 14.3

A dreidel is a top with four sides, used in a Hanukah game. The sides are labeled with the Hebrew letters, nun, gimel, hay, and shin. A dreidel is spun 100 times, with the following results: nun 10 gimel 45 hay 24 shin 21 A player wins tokens if the dreidel lands on either gimel or hay. What is the probability of winning tokens? a. 0.54 c. 0.69 b. 0.63 d. 0.87

Answers

find how many are gimmel or hay
45 gimmel and 24 hay
total is 45+24=69

69/100 or 69% chance of winning or 0.69

answer is C (confusing because C is 2nd option)

The probability of winning tokens is 0.69. Therefore, the option C is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, dreidel is spun 100 times, with the following results: nun =10, gimel =45, hay =24 and shin =21.

A player wins tokens if the dreidel lands on either gimel or hay.

Here, probability of getting gimel is 45/100

The probability of getting hay is 24/100

So, the probability of an event is 45/100 +24/100

= 69/100

= 0.69

Therefore, the option C is the correct answer.

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Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.

What is the youngest age Juanita's cousin can be?



Enter your answer in the box.

Answers

The Youngest age juanita can be is 50.63+50= 113.And 53+40=93.93 is under the 103 minimum that makes the correct age 50

what is 1.23 pounds as an mixed number?

Answers

1 23/100 is the mixed number.
1 23/100 is the answer ur welcome

What is “Twice a number is more than the sum of that number and 9” written in equation form?

Answers

the answer is 2x>x+9

Name the property illustrated by each statement:

1. If x+9=2, then x+9-9=2-9

2. If x=3y and 3y=16. then x=16

Answers

Final answer:

The first statement demonstrates the Subtraction Property of Equality, and the second statement shows the Transitive Property of Equality, both of which are fundamental in solving linear equations.

Explanation:

The property illustrated by each statement:

If x+9=2, then x+9-9=2-9. This is an example of the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.If x=3y and 3y=16, then x=16. This is known as the Transitive Property of Equality, where if one value equals a second value, and the second value equals a third value, then the first value equals the third value.

Understanding these properties helps in solving linear equations and applying basic operations in algebra.

Final answer:

The properties illustrated are the Subtraction Property of Equality and the Transitive Property of Equality, used in solving linear equations.

Explanation:

The question is asking to name the property illustrated by each statement:

Subtraction Property of Equality: If x+9=2, then x+9-9=2-9. This shows that if you subtract the same number from both sides of an equation, the equality is maintained.

Transitive Property of Equality: If x=3y and 3y=16, then x=16. This property states that if one quantity equals a second, and the second quantity equals a third, then the first quantity equals the third.

These properties are fundamental in solving linear equations and are used to manipulate and solve equations for a specific variable.

Which algebraic expression models the given word phrase 10 times the sum of a and b?

Answers

In this case, the answer would be 10(a+b).  We are multiplying 10 * a + b.  Hope this helps you and satisfies your query.  Feel free to ask more questions.

Answer:

[tex]10(a+b)[/tex]

Step-by-step explanation:

We are asked to write an algebraic expression for the given word phrase.

The sum of 'a' and 'b' would be [tex]a+b[/tex].

10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]

Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].

Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain. no; The points must all be collinear to draw a plane. yes; Use the three points provided to draw the plane. yes; Use the third point to create a perpendicular to the line. no; The measurements between the points must be found to be equal.

Answers

Yes 

the second option is correct
Final answer:

Yes, it is possible to draw a plane that includes a line and a third point not on the line. In mathematics, a plane can be defined by three points. Therefore, the two points on the line and the third point not on the line can be used to define the plane.

Explanation:

Yes, it is indeed possible to draw a plane that includes a line and a third point not on the line. The definition of a plane in mathematics is that it's a two-dimensional surface that extends infinitely along its length and width, which can be defined by three points. Considering you have two points on the line, and a third point that's not on the line, you could use these three points to define your plane. It doesn't matter whether the three points are collinear or not, the plane can still be defined. The key is that you need at least three non-collinear points to define a plane.

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Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression.

The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is

Answers

Log7(70) - log7(35)  = log7(70/35) = log7(2)
Properties of exponents tell us that:
log7(2) / log7(5) = log5(2)
x = 5
y = 2
Answer = 0.43

By using the logarithmic property the solution of the given function will be 0.43.

What is Logarithm?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The solution of the given expression is given as:-

Log7(70)  -  log7(35)   =  log7(70/35) = log7(2)

Properties of exponents tell us that:

log7(2)  / log7(5) = log5(2)

x = 5

y = 2

Answer = 0.43

Therefore using the logarithmic property the solution of the given function will be 0.43.

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A map is drawn using a scale of 1cm and 80mi. Two cities are 280miles apart. How far are the cities on the map.

Answers

The cities are 3.5 cm apart. to get this answer you divide 280 by 80 miles to get this answer

F(x)=T-2(X+4)^2 where t is the constant. If f(-8.3)=f(a) and a > 0 what is the value of a ?

Answers

We are given the equation:

F (x) = T – 2 (x + 4)^2                      ---> equation 1

 

Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:

(x + 4)^2 = (a + 4)^2

(-8.3 + 4)^2 = (a + 4)^2

(-4.3)^2 = (a + 4)^2

(a + 4)^2 = 18.49

a + 4 = 4.3

a = 0.3

What are the zeroes of f(x) = x2 − 9x + 20?

Answers

First, factor the polynomial. Then, set each binary answer to zero and solve. Those are the values of x where the graph either crosses or touches the graph.
x²-9x+20
(x-5)(x-4)

x-5=0 | x=5
x-4=0 | x=4

The zeros are 4 and 5

How many days between 09/26/16 and 10/04/2016?

Answers

7 days between them.  27, 28, 29 , 30 , 1, 2, 3

There are 7 days between September 26, 2016, and October 4, 2016.

To find the number of days between 09/26/16 and 10/04/16, you can follow these steps:

Start Date: September 27, 2016End Date: October 3, 2016Count the days from September 27 to October 3 as the question asks for days between 26 September and 4 October, i.e., days belonging to the interval (26 September,4 October).

Let's break it down:

September 27 to September 28: 1 daySeptember 28 to September 29: 1 daySeptember 29 to September 30: 1 daySeptember 30 to October 1: 1 dayOctober 1 to October 2: 1 dayOctober 2 to October 3: 1 day

When you add these, the total is 7 days.

Therefore, there are 7 days between 09/26/16 and 10/04/16.

Which fraction has a value that's equal to 7/8

Answers

multiply both numbers by the same number

 so multiply by 2 you get 14/16

 multiply by 3 you get 21/24

 and so on

Write 506.137 in expanded form.

Answers

506.137 = 500 + 6 + 0.1 + 0.03 + 0.007
or
506.137 = 500 + 6 + 1/10 + 3/100 + 7/1000

hope it helps

If x , y and z Are whole numbers greater than 2 and If xyz2 = 735 What is the value of x+ y+z

Answers

hello : 
735 = 3×5×7²
x= 3 and y= 5 and z= 7 
or : x = 5 or y = 3 and z=7
x+y = 8
so : x+y +z = 8+7 =15

The value of x + y +z is 15.

What is a Whole Number?

A type of number that includes the natural number and zero.

It does not include fractions and decimals.

Odd numbers are those real numbers that are not divisible by 2.

The variables x, y, and z are whole numbers.

The value of x, y, and z is greater than 2

xyz² = 735

The value of x + y +z has to be determined.

Let x = 3 ,then by the given statement y = 5 and z = 7

These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.

To check, they should satisfy xyz² = 735

=  3 * 5 * 7²

= 735

So these are the values of the variables and so,

The value of x + y +z is

= 3 + 5 + 7

= 15

It seems that your question is incomplete, the complete question is :

If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.

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Which of the following statements is not true?

The sum of two positive numbers is always positive.
The product of two negative numbers is always positive.
The sum of two negative numbers is always negative.
The quotient of two negative numbers is always negative.

Answers

Answer:

The false statement is d; the quotient of two negative numbers is always negative.

The false statement is The quotient of two negative numbers is always negative.

What are integers?

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

First, The sum of two positive numbers is always positive.

The statement is true.

For example, +3 + (+6)= +9

Second, The product of two negative numbers is always positive.

The statement is true.

For example, (-3) x (-6) = +18        { (-) x (-) = (+)}

First, The sum of two negative numbers is always negative.

The statement is true.

For example, -3 + (-12)= -3 - 12 = -15

First, The quotient of two negative numbers is always negative.

The statement is false.

For example, -9/(-3)= +3

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Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?

Answers

In terms of prime factors,
12 = 1 x 12
     = 1 x 2 x 6
     = 1 x 2 x 2 x 3
28 = 1 x 28
     = 1 x 2 x 14
     = 1 x 2 x 2 x 7

Therefore
[tex] \frac{12}{28}= \frac{2\times2\times3}{2\times2\times7} = \frac{3}{7} [/tex]

Answer:  [tex] \frac{3}{7} [/tex]


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