You deposit $400 each month into an account earning 3% interest compounded monthly.


a) How much will you have in the account in 30 years?


$


b) How much total money will you put into the account?


$


c) How much total interest will you earn?


$

Answer:

Infinite/Many solutions

Step-by-step explanation:

If u divide 4x+6y=12 then u get 2x+3y=6 so that means there’s infinite solutions

It would be (4, -5)

Hope this helps!

Answer:

#8) y=2

#7) x=3

Hope helped

Answer:

Yes

Step-by-step explanation:

These triangles are congruent by one of two theorems. The first one would be HL, or hypotenuse leg, or side, angle,side. the congruence statement would be

Angle Y is congruent to angle B

Side YZ is equal to BC

Side YX is equal to Side BA

So, triangle XYZ is congruent to triangle ABC by either the HL, OR THE SAS theorem.

Answer:

as following

Step-by-step explanation:

[tex](3y^3+5y^2-4y) (2y^2-6y-7) \\=y(3y^2+5y-4)(2y^2-6y-7)\\=y(6y^4-16y^3-21y^2+10y^3-30y^2-35y-8y^2+24y+28)\\=y(6y^4-6y^3-59y^2-11y+28)\\=6y^5-6y^4-59y^3-11y^2+28y[/tex]

Answer:

(a) 4

(b) 8 {8, a, b, 3, b, 16, -4, a}

(c) -4a

Step-by-step explanation:

I hope i did it right and helped

Answer:

(a) 4

(b) 8 {8, a, b, 3, b, 16, -4, a}

(c) -4a

Step-by-step explanation:

i think thats correct

could PLZZZZ I NEED bRaInIeSt

Answer:

z= -1.178

Step-by-step explanation:

[tex]\frac{124-126}{\frac{7}{\sqrt{17} } }[/tex]

use technology to calculate.

if its correct please mark me brainliest, hope this helps!!!

Answer:

157

Step-by-step explanation:

We can see that both of the figures are congruent! Judging from their angles. Since they are congruent, they have equal sides. We can assume that both have the same sides of each other. So all we have to do is add up all the sides.

Answer:

( 3b + 5 )( b + 2 )

Step-by-step explanation:

3b^2 + 11b + 10

( 3b + 5 )( b + 2 )

Hopefully this helps!

Brainliest please?

Answer:

x = 1/2

Step-by-step explanation:

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

Exact Form: x= 1/2

Decimal form: x = 0.5

Answer:

x= 1/2

Step-by-step explanation:

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

(x−1)(x+7)=(x+1)(x−3)

Step 1: Simplify both sides of the equation.

x2+6x−7=x2−2x−3

Step 2: Subtract x^2 from both sides.

x2+6x−7−x2=x2−2x−3−x2

6x−7=−2x−3

Step 3: Add 2x to both sides.

6x−7+2x=−2x−3+2x

8x−7=−3

Step 4: Add 7 to both sides.

8x−7+7=−3+7

8x=4

Step 5: Divide both sides by 8.

8x/8 = 4/8

x = 1/2

Answers:

Part 1: 5

Part 2: 4/6 m

Part 3: [tex]5 \frac{1}{6}[/tex]

Part 4: 5

Part 5: 4/6 m

Step By Step Explanation:

math

Answer:

Step-by-step explanation:

what is the answer for a² – b² = (a-b)(a+b)

a² – b² = (a-b)(a+b)

a²- b² = a² - b²

this equation is always true

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

check

a=1 and b=2

1²-2²=(1 - 2) * (1 + 2)

1 - 4 = 1 + (-4)

-3 = -3

Answer:

2989854

Step-by-step explanation:

Answer:

When you multiply two negatives, you get a positive solution.

7686x389

2,989,854

:)

letter a

step by step Explanation

18.03-3(12.7+8.06)/2

=18.03-(3)(20.76)/2

=18.03-62.28/2

=18.03-31.14

=-13.11

hope this help you!

Answer:

Adam's school is the school that is equidistant from the subway stations at union square and 14th street

Answer: x = 560/3

Step-by-step explanation:

First! We are going to be using the PEMDAS method! If you have any questions about this method please go ahead and ask below! The first step in our equation is the P - parenthesis, so we are going to multiply [tex]\frac{3}{5}[/tex]  to everything inside of the parenthesis (x and -710)!

[tex]\frac{3}{5} (x -710) = -314[/tex]

[tex]\frac{3}{5}x+(\frac{3}{5}*-710)=-314[/tex]

[tex]\frac{3}{5}x -426 = -314[/tex]

Now, we are going to add 426 to both sides of the equation, to single out the "x" variable!

[tex]\frac{3}{5}x= 112[/tex]

Finally, let's multiply both sides by [tex]\frac{5}{3}[/tex] to cancel out the [tex]\frac{3}{5}[/tex] fractions, to get the "x" variable alone.

[tex]x=\frac{560}{3}[/tex]

↑This is our answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Billy found the ring at -20 ft

Step-by-step explanation:

He started at 15 ft

He dove off the cliff, then swam 5 feet under the opposite of the cliff's elevation

The opposite of the cliff's elevation would be -15, and if he swam five feet under that, it would be -15 + -5 = -20

So, Billy found the ring at -20 ft

Answer:

Part 1:

A: $2.69 per lb

B: $2.59 per lb

Part 2:

Brand B is a better deal because it costs less per pound of ham.

Step-by-step explanation:

To find the unit price of each brand, divide the cost by the weight.

A: [tex]\frac{13.99}{5.2} =2.69[/tex]

B: [tex]\frac{16.06}{6.2} = 2.59[/tex]

Answer:

Part 1:

A: $2.69 per lb

B: $2.59 per lb

Part 2:

Brand B is a better deal because it costs less per pound of ham.

Step-by-step explanation:

To find the unit price of each brand, divide the cost by the weight.

The number of gallons it take to fill the tank is 3.625 gallon.

Given that, a 14.5-gallon gasoline tank is 3/4 full.

Let the number of gallons it take to fill the tank is x.

Now, the number of gallons of gasoline tank = 14.5×3/4

= 14.5×0.75

= 10.875

Here, 10.875+x=14.5

x=14.5-10.875

x=3.625

Therefore, the number of gallons it take to fill the tank is 3.625 gallon.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ6

Answer:

wwwwwwwwwwwwwwwwwwww

Answer:

y = 5x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (- 1, - 12 )

m = [tex]\frac{-12-3}{-1-2}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5 , then

y = 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3 )

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 5x - 7 ← equation of line

Answer:

Hypotenuse is the longest slanting side

Step-by-step explanation:

Without an angle to consider, the other two could fit in any position

Refer to the attachment

Rewrite the limand as

[tex]\dfrac{\tan^2(x)}{1 - \cos(x)} = \dfrac{\sin^2(x)}{\cos^2(x)(1 - \cos(x))}[/tex]

Multiply the numerator and denominator by 1 + cos(x). Then

[tex]\dfrac{\sin^2(x)}{\cos^2(x)(1 - \cos(x))} \cdot \dfrac{1+\cos(x)}{1+\cos(x)} = \dfrac{\sin^2(x)(1 + \cos(x))}{\cos^2(x)(1 - \cos^2(x))} \\\\= \dfrac{\sin^2(x)(1 + \cos(x))}{\cos^2(x)\sin^2(x)} \\\\ = \dfrac{1 + \cos(x)}{\cos^2(x)}[/tex]

As x goes to 0, the limand goes to (1 + 1)/1² = 2.

We are given with a limit :-

[tex]{\quad \blacktriangleright \blacktriangleright \blacktriangleright {\displaystyle \sf \lim_{x\to 0}\dfrac{\tan^{2}(x)}{1-\cos (x)}}}[/tex]

We know that ;

Using this , the above limit can be written as ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\sin^{2}(x)}{\cos^{2}(x)\{1-\cos (x)\}}}[/tex]

Multiplying and dividing both numerator and denominator by [tex]{\sf 1+\cos (x)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\sin^{2}(x)\{1+\cos (x)\}}{\cos^{2}(x)\{1-\cos (x)\}\{1+\cos (x)\}}}[/tex]

We knows a identity that is

Using this we have ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\sin^{2}(x)\{1+\cos (x)\}}{\cos^{2}(x)\{1-\cos^{2}(x)\}}}[/tex]

We knows another Trigonometric identity i.e ;

Now , using this we have ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\cancel{\sin^{2}(x)}\{1+\cos (x)\}}{\cos^{2}(x)\cancel{\sin^{2}(x)}}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{1+\cos (x)}{\cos^{2}(x)}}[/tex]

Putting the limit we have ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1+\cos (0)}{\cos^{2}(0)}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1+1}{1^{2}} \quad \qquad \{\because \cos (0)=1\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{2}{1}}[/tex]

[tex]{:\implies \quad {\displaystyle \therefore \quad \bf \underline{\underline{\lim_{x\to 0}\dfrac{\tan^{2}(x)}{1-\cos (x)}=2}}}}[/tex]

Answer:

its 8.00

Step-by-step explanation:

Answer:

8.00

Step-by-step explanation:

Answer:

the correct answer is x=44

x +6 = 50

x = 50-6

x = 44

Answer:

X= 50-6

=44

ALso mark me brainliest

Answer:

it is 6.4

Step-by-step explanation:

hope this helps

plz tell me if I am right thank u

Answer:

if $700 is sales then answer would be $513.50

Step-by-step explanation:

5.5% of 700 = 38.5

475+38.5=513.50

Answer:

Step-by-step explanation:

this is a continuous function

it passes the vertical line test and have 2 zeros: -1 and 2;

the domain is from negative infinity to infinity

the range is [tex][-3, \infty][/tex]