Determine the value of x in the figure.
A) x=70
B) x=140
C) x=40
D) x=35

Answer:

He will receive $1, 400 for interest

&

A total amount of $6, 400

Step-by-step explanation:

To find the interest, we must apply the following formula:

I = P × R × T

I represents interest

R represents rate

T represents time

P represents principle

Steps:

1. Change the rate, which is 2%, into a decimal.

2. Multiply the principle, which is 5,000, by the rate, which is 0.02.

3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.

So he will receive $1, 400 interest.

To find the total amount he recieved, we must:

Add the principle, which is 5,000, and the current interest, which is 1, 400.

5,000 + 1,400= 6,400

He will receive a total of $6, 400

I hope this helps! I'm sorry if it's wrong.

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

Answer:

the y- intercept is "3" and the x- intercept is "6"

Step-by-step explanation:

Answer:

The two numbers are 40, and 27.

Explanation:

Since there are only two numbers, with two different aspects, you can just make

a system, and solve.

A sum of two numbers adding up to 67 can be modeled by: x + y = 67.

A difference of those same two numbers being 13 can be modeled by: x – y = 13.

You can add the two equations together to eliminate the y value because the -y and y will cancel out:

x + y = 67.

+ x – y = 13.

And you get: 2x = 80.

Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:

2x = 80

÷2 ÷2

x = 40.

So the first number is 40.

Since we know the first number, we can immediately find the other number by substituting it into the first equation.

x = 40 → x + y = 67

(40) + y = 67

-40. -40

Subtract from both sides to cancel the constant terms.

Then you will get that y or the second number is y = 27.

This is true because 40 + 27 = 67, and 40 - 27 = 13.

Answer:

yay thats so coolllllllll

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

Answer:

2 + 2 is 4

Step-by-step explanation:

thanks!!!!!!!

9514 1404 393

Answer:

  [tex]\dfrac{20+5\sqrt{3}}{13}[/tex]

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

  [tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]

__

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

  a² - b² = (a -b)(a +b)

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

⋅

cos

(

π

3

)

−

sin

π

⋅

sin

(

π

3

)

=

(

−

1

)

(

1

2

)

−

(

0

)

(

√

3

2

)

=

−

1

2

Answer:

(-2,3) if your doing substitution

(-2,3) for Elimination

Step-by-step explanation:

Answer: Marcus is correct.

i got it right on Edge2020

Step-by-step explanation:

Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.

Marcus's claim is correct.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.

Read more about transformation at:

https://brainly.com/question/4539110

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 5 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

Number 4 would be: C

And number 5 would be: C

Please Mark as Brainliest!!!

Answer:

Number 4 is c 1/6 and number 5 is also c

Step-by-step explanation:

I just divided 1 and 6 and got 0.1666

and did the same for the other one

pls mark brainliest

Answer:

Step-by-step explanation:

Step one:

given the expression w/8 - 4 = 20

the first operation is to isolate the term that has w by adding 4 to both sides

w/8 - 4+4 = 20+4

w/8 = 16

Required

the value of w

Step two:

the next step is to cross multiply

w=16*8

w=128

Answer:

It is 61 degress an acute angle.

Step-by-step explanation:

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Answer:

x = 6

Step-by-step explanation:

In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.

16x - 6 = 90

Let's solve for x:

First add 6 to both sides to isolate the 16x:

16x - 6 + 6 = 90 + 6

16x = 96

Now divide both sides by 16 to isolate the x:

16x/16 = 96/16

x = 6

The value of x has to be 6 in order for m to be parallel to n.

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

Answer:parallel

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Please let me know if you need an explanation.

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

Answer:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

Step-by-step explanation:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

The reason is very clear that we can not have the repeated x-values (two same x-values).

For example, given the set of the ordered pairs of a relation

{(3, a), (6, b), (6, c)}

As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.

In order to be a function, a relation must have only 1 x-value for each y-value.

Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.

9514 1404 393

Answer:

  Table B is a function

Step-by-step explanation:

The relation shown in a table is NOT a function if the same input value gives different output values.

In Table A, input Taurus gives different outputs, so Table A is NOT a function.

In Table B, there are no repeated inputs, so Table B IS a function.