A person places $4760 in an investment account earning an annual rate of 1.6%, compounded continuously. Using the formula V=PertV = Pe^{rt}V=Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 7 years.

An equilateral triangle is a triangle in which all three sides have the same length[tex].[/tex]

⭆ 14 = 3x - 4

⭆ 3x = 14 + 4

⭆ 3x = 18

⭆ x = 18/3

⭆ x = 6

In equilateral triangle, all three internal angles are also same and each are of 60°.

⭆ 5y - 5 = 60

⭆ 5y = 60 + 5

⭆ 5y = 65

⭆ y = 65/5

⭆ y = 13

★ Final answer :

Answer:

Step-by-step explanation:

equilateral triangle, all sides are equal,

MN = MP

14 = 3x - 4

x = 18/3

x = 6

internal angles are also equal.

5y - 5 = 60    (180/3 = 60)

5y = 65

y = 13

Answer:

y=3x

Step-by-step explanation:

y=3x

the line passes through the origin so when x=0, y=0

Answer:

X equals 5

Step-by-step explanation:

3x+1=5x-9

3(5)+1=5(5)-9

15+1=25-9

16=16

Answer:

The slope is 1/2

Step-by-step explanation:

AS seen in the graph I provided you can see that the points are increasing by 1/2

Answer:

roots are not real

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

Then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Given

9x² - 6x + 2 = 0

with a = 9, b = - 6, c = 2 , then

b² - 4ac = (- 6)² - (4× 9 × 2) = 36 - 72 = - 36

Since b² - 4ac < 0 then the roots are not real

Answer:

7/10

Step-by-step explanation:

2/5 multiply the denominator by 2 which will make it 10. Then multiply the numerator by 2 which will make it 4. So it will be 4/10. Then add 4/10 to 3/0 which makes 7/10.

The equation for the problem is [tex]0.25x[/tex] ≤ [tex]3.65[/tex]

Hope it helps!

You can make the maximum number of copies would be 14.6 which is determined by the inequality 0.25x ≤ 3.65 where x represents the number of copies.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

You have at most $3.65 to make copies for a school project. Each copy costs $0.25 which is given in the question.

As per the given condition, the required inequality would be:

⇒ 0.25x ≤ 3.65

Here x represents the number of copies

⇒ 0.25x ≤ 3.65

Divided by 0.25 both sides of the inequality, and we get

⇒ x ≤ 3.65/0.25

⇒ x ≤ 14.6

Therefore, you can make the maximum number of copies would be 14.6.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

x=17.2

Step-by-step explanation:

here a picture of how i did it cause its hard to expialn

Answer:

Area = [tex]156cm^{2}[/tex]

Step-by-step explanation:

A=a+b

2h=13+13

2·12=156cm²

I hope this helps you :)

Answer:

C

Step-by-step explanation:

the definition of an irrational number is an infinite decimal that has no repeating pattern. rational numbers can be converted into fractions.

A is incorrect because a whole number can be converted into a fraction.

      ex: 1 is also 3/3

B is incorrect because the definition of a rational number is that it can be converted into a fraction.

D is incorrect because a terminating decimal can be made into a fraction.

      ex: 4.5 is also 9/2

D)

A Irrational number is a decimal that terminates. I hope this helps! Please rate Brainiest!

-Aslina

Answer:

(28,-4)

Step-by-step explanation:

Answer:

im pretty sure its -9

Step-by-step explanation:

the equation explained would look something like this...

-5x-22=23

so you would isolate the variable by first adding 22 to both sides and the dividing by -5 on both sides

-5x-22=23

    +22  +22

-5x/-5=45/-5

x=-9

Answer:

6

Step-by-step explanation:

it would be six in one hour he would clean 2 houses in two 4 houses then in three it would be six

Answer:

I think you can clean 6 houses.

Given:

Newton has 10 more dimes than nickels.

He has  twice the number of quarters than nickels.

Total amount he has = $6.20.

To find:

The number of each coin.

Solution:

Let the number of nickels be x.

Newton has 10 more dimes than nickels.

Dimes = x+10

He has  twice the number of quarters than nickels.

Quarters = 2x

We know that, 1 nickel = $0.05, 1 dime = $0.10 and 1 quarter = $0.25.

Total amount he has is $6.20.

[tex]x\times 0.05+(x+10)\times 0.10+2x\times 0.25=6.20[/tex]

[tex]0.05x+0.10x+1+0.50x=6.20[/tex]

[tex]0.65x=6.20-1[/tex]

[tex]0.65x=5.20[/tex]

Divide both sides by 0.65.

[tex]x=\dfrac{5.20}{0.65}[/tex]

[tex]x=8[/tex]

Now,

Number of nickels = 8

Number of dimes = 8 + 10 = 18

Number of quarters = 2(8) = 16

Therefore, the number of nickels, dimes and quarters are 8, 18 and 16 respectively.

Answer:

[tex]150 + 75h > 600[/tex]

Step-by-step explanation:

The inequality that can be used to determine h is shown below:-

As per the given situation,  it is mentioned that a plumber could earns $50 for a repair job, so for three jobs he earned $150 as a total amount

Now

We presume h be the number of hours

Also he earns additional $75 per hour worked so $75

Total amount is $150 + $75h)

The total amount is more than $600

So, the inequality equation is as given below:

[tex]150 + 75h > 600[/tex]

Answer:

x=8

m<FGH=32

m<HGI=32

m<FGI=64

Step-by-step explanation:

The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:

5x-8=6x-16

Then you will find x which is 8. After you find x just plug in x for one of the equations like so:

5(8)-8=_  or 6(8)-16=_

You only need to plug in x for one of the angles because they are congruent so you will get the same answer.

To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.

Answer:

7 * x = 5 + y

Step-by-step explanation:

hope this helps!, you can correct me if I'm wrong.

Answer:

32.5ft

Step-by-step explanation:

Answer:

32.5 feet per 5 seconds

Step-by-step explanation:

multiply 5 by 6.5 you get 32.5

Answer:

86,000

Step-by-step explanation:

You look at the 88 and 88 would round up to one, but since 1 is less than four the number becomes 86,000

Answer:

I think X=3

Step-by-step explanation:

When adding fractions you have to find a common  denominator, the easiest way is to use the other number for it. So with [tex]\frac{x}{2}[/tex] you would multiply the top and bottom by 6, and with [tex]\frac{x}{6}[/tex] you would multiply both the top and bottom by 2. You should then have [tex]\frac{6x}{12}[/tex]+[tex]\frac{2x}{12}[/tex]. You add the tops together which will leave you with 8x and the bottom stays the same. Then you multiply the the 2 by the 12, and when doing this the 12 will cancel out. leaving you with 8x= 24. Finally you divide 24 by 8 and X is 3.

Answer:

12/x hours

Step-by-step explanation:

d=12

s*t=d

t=d/s

t=12/s

Hope this helps pls if it help u mark me BRAINLIST pls thank u.

Answer:

12

Step-by-step explanation:

no

Answer:

x=28 y=11 z=1

Step-by-step explanation:

plug in 1 for z in x+2z=30 to get x+2(1)=30. Then you should get x+2=30 which is x=28.

Then, plug 1 in for the second equation of y+z=12 so you get y+1=12. Then you should get y=11.

Answer:

Step-by-step explanation:

12

rs st tw rt rw sw

13

sr sw tr st tw

14

tr and tw

sr and st

I'll depend on you to add the proper markings on the answer.

Answer:

Step-by-step explanation:

-5 (-6k + 10)

= 30k - 50

Answer:

trinomial

Step-by-step explanation:

Since this polynomial has 3 different terms, this is, in fact, a trinomial.

Hope this helps :)

42.5 i think

The whole angle is 127 minus the angle we know (32) this leaves us with 85 for the rest of the angle but we still have to deal with the angle bisector so we divide it by 2 leaving us with 42.5 I'm pretty sure.

Answer:

B) y-3= -7(x+1)

Step-by-step explanation:

Answer:

3 x 10 to the 11th

Step-by-step explanation:

move the decimal to the right, keeping it positive, 11 times to make it 0.3

Answer:

The exponent represents the number of places the decimal moves.

The decimal moves to the right.

The exponent is negative.

Step-by-step explanation: