Review each problem below and determine if it is a future value question or a present value question. Choose the correct match.

Note: do not solve the problems, simply determine if the problem is a future value question or a present value question.

Claudia deposited $1,000 today. Assuming 7% annual interest, how much will the $1,000 be worth in one year?

Steven White plans to retire in 15 years with $400,000 saved. He thinks his savings can earn 10 percent per year. How much does Steven White have to deposit today in order to have $400,000 in 15 years?

What will a deposit of $4,500 today at 10% compounded semiannually be worth if left in the bank for six years?

If Joe deposits every payment in an account paying a nominal annual interest rate of 6% compounded monthly, how much will he have at the end of three years?

If you want $1,000 five years from now and you earn 5 percent on your savings, how much do you need to deposit today?

The inverse operation for given sentences are 48 ÷ 8 = 6 and 14 + 15 = 29

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse. The impact of one operation on another is reversed by using inverse operations.

The inverse operation for the the equations are -

a) 6x8 = 48

⇒ 48 ÷ 8 = 6

b) 29-15 = 14

⇒ 14 + 15 = 29

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Answer:

No

Step-by-step explanation:

A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.

Also, To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.

I haven't used triangles in a long time..... so I kinda forget but the little I remember I used. Hope this helps!

Answer: No

Step-by-step explanation:  The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's check if the given side lengths satisfy the Pythagorean theorem:

Using the Pythagorean theorem, we can calculate the squares of the side lengths:

4^2 = 16

6^2 = 36

9^2 = 81

Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:

16 + 36 = 52

81 = 81

Since 52 is not equal to 81, the given triangle is not a right triangle.

You can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

Estimation is a rough calculation or judgment using available information based on their face values without going into detail.

Estimation, which is based on approximation, helps to determine if a reasonable solution has been found before the events occur when the actual calculations are carried out.

Estimation ensures that the obtained data or results do not vary greatly from the central values. Estimation helps calculations without adequate data and when computations involve large numbers.

Thus, you can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

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Answer:

haha what happened, ur welcome

ofc ofc

Answer: well i do not know

Step-by-step explanation: of well

The function composite h(x) = f(x)g(x) is -10x² +  40x.

Option b)-10x² +  40x is the correct answer.

Given the functions in the question;

Since h(x) = f(x)g(x), replace the function designators in f(x)g(x) with the actual functions.

h(x) = f(x)g(x)

h(x) = ( 2x - 8 )( -5x )

Apply distributive property.

h(x) = ( 2x - 8 )( -5x )

h(x) = 2x(-5x) - 8(-5x)

Perform the operation to remove the parenthesis.

h(x) = -10x² +  40x

The function composite h(x) = f(x)g(x) is -10x² +  40x.

Option b)-10x² +  40x is the correct answer.

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Answer:

The answer is B

Step-by-step explanation:

<3

The statement that the inequality is d<-60 or(-60>d) is; true.

Let d represent the depth of the researchers' second dive.

We are given that;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explored a deeper depth, that is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60, then deeper depth would be represented by integers less than -60.

Thus, we can conclude that d can be represented with the inequality;

d < -60

Therefore the statement that d<-60 or(-60>d) is true.

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Answer:

10

Step-by-step explanation:

→ Expand brackets

-5.4 + 0.55x = 0.05x - 0.4

→ Minus 0.05x from both sides

-5.4 + 0.5x = -0.4

→ Add 5.4 to both sides

0.5x = 5

→ Divide both sides by 0.05

x = 10

The table is a function, the graph is a function, but the mapping diagram is not a function.

What is a function?

Any statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable. In mathematics and the sciences, functions are fundamental for constructing physical connections.

In the given table and graph, each input value is paired with only one output variable, so the relation given in these are functions. But in the mapping diagram two inputs are paired with more than one output, so it is not a function.

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The digit at unit's place of odd number should be 1 to be divisible by 5  and have remainder 1.

Odd numbers are the numbers that cannot be divided into two equal parts.

In odd numbers the digits in the units place always remains 1,3,5,7 and 9.

According to the question the odd number is divided by 5 and the remainder is 1.

For the number to be divisible by 5 and have remainder 1 the digit that must be in the unit place will be 1

If we see all the digits in units place of odd numbers then 1 is the only possibility as if it is 3 then the remainder will be 3. If it is 5 then the remainder will be 0, if it is 7 then the remainder will be 2 and if it is 9 then the remainder will be 4.

Hence the digit at unit's place of odd number should be 1.

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The concept here used is probability.

Probability is the quantitative relation of range|the amount|the quantity} of outcomes in  thorough set of equally possible outcomes that manufacture a given event to the whole number of doable outcomes

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

we are given red balls=6

                     green balls=8

    Let yellow balls be x.

total balls=green+red+yellow =14+x

according to the question the probability of green balls is 25% i.e 1/4

probability of green balls=green balls/total balls

8/14+x = 1/4

On cross multiplying we get 32=14+x

x=18

The green balls are 18

total balls=green+red+yellow =32

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===========================================================

Explanation:

The list of perfect squares is 1, 4, 9, 16, 25, 36, 49, ...

A perfect square is the result of multiplying some whole number with itself

Examples:

1^2 = 1*1 = 1

2^2 = 2*2 = 4

3^2 = 3*3 = 9

4^2 = 4*4 = 16

and so on. We see that 10 is between the perfect squares 9 and 16

Answer:

Step-by-step explanation: it takes 60 peppers to make 3 pizzas we need 6 pizzas so we just take 60 x 2= 120. So we need 120 peppers to make 6 pizzas.

If we rearrange the equation to make x the subject a=4x/t-p, then we will have [tex]x= \frac{a(t-p)}{4}[/tex]

from the question we were given the equation a=4x/t-p which is required to rearrange so that X can be made the subject of the formular, and this can be done below:

[tex]a=\frac{4x}{t-p}[/tex]

[tex]4x= a(t-p)[/tex]

[tex]x= \frac{a(t-p)}{4}[/tex]

Therefore If we rearrange the equation to make x the subject a=4x/t-p, then we will have , [tex]x= \frac{a(t-p)}{4}[/tex] because if we make the x the subject of the formular it will stay alone at the one side when all other term at the opposite side.

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NOTE; This is a complete question , no given option , even on internet.

Answer: 49.017 inches

Step-by-step explanation:

[tex]\displaystyle\\49\frac{17}{1000} =\\\\49.017\ inches[/tex]

Answer:

35/8

step 1: turn the mixed fraction to an improper fraction =29/8

step 2: divide 29 by 8 ,it gives you 3

that and a remainder of 5 don't forget to place your decimal piont

step 3:place 0 at the back of 5 it then becomes 50 so we can easily divide 8 by 50

50 divided by 8 is 6 that gives a remainder of 2

step 3:place 0 at the back of 2 like earlier then it becomes 20

divide 20 by 8 ,this gives you 2 and a remainder of 4

step 4:place 0 at the back of 4 as done earlier , divide 40 by 8

it gives you 5 with no remainder

so your answer finally becomes 3+0.625 which is 3.625

Using the two column proof, it has been proved that m∠2 ≅ m∠3

From the given diagram, we can write the two column proof as follows;

Statement 1: m∠DHF = m∠EHG

Reason 1; Given

Statement 2; m∠2 + m∠1 = m∠DHF

Reason 2; Angle Addition Property

Statement 3; m∠1 + m∠3 = m∠GHE

Reason 3; Angle Addition Property

Statement 4; m∠2 ≅ m∠3

Reason 4; Definition of congruent angles

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Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.

If a person and their spouse file taxes using the "married filing jointly" status, it means that two exemptions are claimed, one for the person and one for the spouse.

For this problem, the exemptions are given as follows:

2 + 4 = 6.

Hence:

Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.

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Answer:

6

Step-by-step explanation:

simple 2+4=6

Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.

Given that;

Let the amount saved by be be represented by the variable x.

Hence,

1/8 of Bill's income = Amount saved

1/8 × $92 = x

Multiply the numerators

x = 1/8 × $92

x = $92/8

Divide 92 by 8

x = $11.5

Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.

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Given the expression,

                         x+10=5

Rearrange variables to the left side of the equation,

                        x = 5 - 10

Calculate the sum or difference,

                        x = -5

Therefore,

The value of x is = -5

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Answer:c.

Step-by-step explanation: its true

Answer:

the answer is y = k/x

Step-by-step explanation:

why? because I said so

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 50,304 runners and each runner runs a distance of 26.2 miles. Hence:

Total distance ran by runners = 26.2 miles * 50304 = 1317964.8 miles.

The distance from the earth to the moon is 2.389 x 10⁵ miles, hence:

Ratio of total distance to distance from earth to moon = 1317964.8 miles/ (2.389 * 10⁵) = 5.516

Time ran back and forth = 5.516 / 2 = 2.76

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

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Answer:

x = 15/2

Step-by-step explanation:

Answer:

No solution for x

Step-by-step explanation:

Subtract 7 from both sides
==> [tex]5\left|x+1\right|+7-7=-38-7[/tex]

==> [tex]5\left|x+1\right|=-45[/tex]

Divide both sides by 5
==>   [tex]\frac{5\left|x+1\right|}{5}=\frac{-45}{5}[/tex]

==>  [tex]\left|x+1\right|=-9[/tex]

But this is not possible since absolute value cannot be negative

Hence the equation is inconsistent and therefore there are no solutions for x

Answer:

No solution

Step-by-step explanation:

5|x+1| + 7 = -38

5|x+1| = -38 - 7

5|x+1| = -45

Divide both sides by -5

|x + 1| = -9

Because of how the modulus works, whatever is inside it, whether positive or negative, will become positive.

And since the left side is always positive and the right side is always negative, there is no value of x that can satisfy the equation.

Therefore there is no solution to this equation

Answer:

Are of the parallelogram = 168 square feet

Step-by-step explanation:

I am not sure exactly what the question is asking for since the area of a parallelogram is simply the base x height and both are given

Are = 14 x 12 = 168 square feet

I have attached a picture with the decomposition of the parallelogram into a rectangle and two triangles.

ABCD is the parallelogram with base = 14 and height = 12

ABE and CDF are the two triangles each with base = 3 and height = 12

EBFD is a rectangle

All the dimensions are marked

I hope that helps and if you need any further clarification, please do ask

The correct solution to of 3 x 9/10 is 3 x 9/10.

The correct option is (B).

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

Given:

3 x 9/10

1. 2x 9/10

= 18/10

= 1.8

2. 3 x 9/10

= 27/10

= 2.7

3. 3 x 7/10

= 21/10

= 2.1

4. 2 x 7/10

= 14/10

= 1.4

Hence, the correct solution is 3 x 9/10.

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Answer:

Step-by-step explanation:

Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each book. Kate doesn't want to wait until the last minute to read the books so she is planning to read the same number of pages each day of her summer vacation. If Kate's summer vacation is 72 days long, how can she write a variable expression to represent the number of pages she will need to read each day?

The input that makes the output of A to be three times the output of B is; x = 9

We are told that both Machines A and B have the same input. Thus;

Output of Machine A using Algebraic Properties is;

Output A = 5x - 4

Output of Machine B using Algebraic Properties is;

Output B = 3x + 8

We want to find the input that makes the output of A to be three times the output of B. Thus;

5x - 4 = 3(3x + 8)

5x - 4 = 9x + 24

9x - 5x = -4 - 24

4x = -28

x = -28/4

x = 9

Thus, we conclude that the input that makes the output of A to be three times the output of B is; x = 9

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