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Answer:

133.33 years

Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

Triple amount of principal = $500 * 3 = $1500 = final amount (A)

Number of years (t) =?

Using the relation :

A = P(1 + rt)

1500 = 500(1 + 0.015t)

1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

3 - 1= 0.015t

2 = 0.015t

2 / 0.015 = 0.015t / 0.015

133.333 = t

133.33 years

Answer:

y= −3 /2 x+ −7 /2

slope= -3/2

Step-by-step explanation:

y−1= −3 /2 (x+3)

y= −3 /2 x+ −7 /2

according to y=mx+b slope intercept form

-3/2 is the slope

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

8x+10=12x−18

Step 1: Subtract 12x from both sides.

8x+10−12x=12x−18−12x

−4x+10=−18

Step 2: Subtract 10 from both sides.

−4x+10−10=−18−10

−4x=−28

Step 3: Divide both sides by -4.

-4x/-4 = -28/-4

answer: x=7

Answer:

X= 7

Step-by-step explanation:

8x+10 = 12x-18

10= 4x-18

28 = 4x

7 = x

Answer:

2

Step-by-step-

It would equal both the numbers combined

Answer:

a)

Step-by-step explanation:

Answer:

1000a+100b+10c+d

Step-by-step explanation:

place value of a =1000×a

place value of b=100×b

place value of c=10c

place value of d=1×d

Answer: 9/16

18/32 simplified is 9/16

Answer:

9/16

4/8

2/4

Step-by-step explanation:

plz mark brainliest

Answer:

Peyton in the correct option

Step-by-step explanation:

The correct expression is given by Peyton.

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Consider if m is any integer, then

gcd (a + m⋅ b, b) = gcd (a, b).

If m is a positive divisor, then

gcd (a/m, b/m) = gcd (a, b)/m.

So, if x and y are prime, then

gcd(x*y, b) = gcd(x, b) *  gcd(y, b).

First, find the greatest common factor of the given terms.

The greatest common factor or GCF is the largest factor that all terms have in common.

Then, Factor out the greatest common factor from each term.

Learn more about this expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

You are multiplying the whole number with the reciprocal of the fraction.

Step-by-step explanation:

To divide a whole number by fraction.

You are taking X which is a whole number over the fraction.

its the same as taking x and multiplying it by the reciprocal of the fraction

So if you have 5 divided by 1/2, it's the same as saying 5 times 2/1.

Answer:

no 10% of 150 is $15

Step-by-step explanation:

100% of 150 is 150

10% is 15

Answer:

x < y

Step-by-step explanation:

Answer:

x = 36 and y = 28

Step-by-step explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

Hence, they will sell 36 shakes and 28 doublescoop cones.

Answer:

1/3 < 2/5 < 3/7 < 4/9

Step-by-step explanation:

:)

Answer:

x=(3y-11)/5

3(y-2)= 5(x+1) by cross multiplication

5x+5=3y-6

5x=3y-6-5

5x=3y-11

We divide by 5 on both sides

Answer:

it is 8x+36 mgmgkgkgkgkfkf sorry about that lol it needs to be 20 words long but yea

Step-by-step explanation:

yeah the answer is c 8x+36

Final Answer: [tex]7 + 18r[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]7 + 8r + 10r[/tex].

Step 1: Collect like terms.

[tex]7 + (8r + 10r)[/tex]

Step 2: Simplify.

[tex]7 + 18r[/tex]

~I hope I helped you :)~

Answer:

$59.75

Step-by-step explanation:

1065-826=239

239÷4=59.75

Answer:

  [tex]A=300ml[/tex]

Step-by-step explanation:

From the question we are told that

5% solution of dextrose sugar in water

20% solution of dextrose in

100 milliliters of distilled water water

Generally in mathematically solving we call A the amount of D20W added

Since 20% of dextrose is needed

       [tex]20 \%*100=20milliter[/tex]

Total quantity after addition (100+x)

for DW5% total solution is

          [tex]5\% (100+A)= \frac{5}{100}(100+A)[/tex]

          [tex]5\% (100+A) =5+0.05A[/tex]

Mathematically

           [tex]5+0.05A =20[/tex]

           [tex]5+0.05A =20-5[/tex]

           [tex]A=\frac{15}{0.05}[/tex]

           [tex]A=300ml[/tex]

Therefore the required quantity [tex]A=300ml[/tex]

Given:

The function is

[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]

To find:

The vertical asymptote and oblique asymptote.

Solution:

We have,

[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]

To find vertical asymptote, equate denominator equal to 0.

[tex]x-2=0[/tex]

[tex]x=2[/tex]

So, the vertical asymptote is [tex]x=2[/tex].

In the given function degree of numerator is greater than denominator so, their is an oblique asymptote. To find oblique asymptote divide the numerator by denominator.

Dividing [tex]x^2-2x-2[/tex] by [tex]x-2[/tex] using synthetic division, we get

2 |  1   -2    -2

          2     0

--------------------------

     1    0    -2

-------------------------

Here, starting elements of bottom row represent coefficient of quotient and last element of bottom row represents the remainder.

[tex]Quotient=x, Remainder=-2[/tex]

Since, quotient is x, therefore, the oblique asymptote is [tex]y=x[/tex].

Therefore, the correct option is B.

Answer:

x = 6.7128 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x

Answer:  C) Segment PR

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

Explanation:

Let's find the missing angle R. We'll use the idea that all three angles of any triangle always add to 180

P+Q+R = 180

48+83+R = 180

131+R = 180

R = 180-131

R = 49

Here are the three angles of triangle PQR

The largest angle is Q = 83, so the opposite side PR is the longest side. The longest side of a triangle is always opposite the largest angle.

Answer:

Present salary is 550

Step-by-step explanation:

Here, we want to calculate the present salary seeing that it was 10% added to what we had last year

mathematically, that will be;

10/100 * 500 = 50

Adding this to 500, his present salary is 50 + 500 = 550

Answer:

550 is the answer

Step-by-step explanation:

I got it in the test

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

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

--------------------------

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

Answer:

Solution in photo

Step-by-step explanation: