Moneysaver's Bank offers a savings account that earns 8% interest compounded continuously. If Kareem deposits $3100, how much will he have in the account
after two years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent.

Step-by-step explanation:

Since you can't directly solve for [tex]y[/tex] in this question, we will use substitution to solve for

[tex]{\large{\boxed{\mathbb{QUESTION}}}[/tex]  

What would y equal in this equation?

[tex]\begin{bmatrix}3+\frac{4}{1}y=5\\ x+2=0\end{bmatrix}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:Y}}}[/tex]

[tex]3+\frac{4}{1}y=5[/tex]

First, we will subtract 3 from both sides of the equation

[tex]\frac{4}{1}y=2[/tex]

Simplify

[tex]{4}y=2[/tex]

Divide both sides by 4

[tex]y=\frac{1}{2}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:X}}}[/tex]

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

subtract 2 to both sides

[tex]x=-2[/tex]

[tex]{\large{\boxed{\mathbb{ANSWER}}[/tex]

_____________________________________

If we didn't use the method with substitution and had our equation being

[tex]3+\frac{4}{1y}=5x+2[/tex]

our answer would've been

[tex]y=\frac{-4}{-5x+1}[/tex], I highly doubt this would be the right answer.

Answer:

Step-by-step explanation:

F(x)=0

Answer: C

It is right lol

Answer:

False

Step-by-step explanation:

The form of a hypothesis is If, then, because.

Answer:

x can equal any number between 0 and 8. This also includes 8.

Step-by-step explanation:

As noted in the problem, x is more than -1 (x > -1)

So we can infer that -1 and anything past it to the left is not a viable answer.

As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///

It will look something like this.

        It will stop here --v

---•---|---|---|---|---|---|---|---•---

  0  1   2  3  4  5  6  7   8

(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)

Answer:

Draw the diagonals AC and BD, and observe the two triangles ABD and ACD you created. They have side lenghths AB and CD equal by hypotesis, side lenght AD in common, and the angle inbetween congruent by hypotesis. The two triangles are congruent (albeit mirrored vertically) by SAS. The third sides are then congruent, QED.

Answer:

a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no

Step-by-step explanation:

A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.

B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)

C) 1.75y = 21 it is the exact process as the last but with the red beads instead

D) you take the equation you got and sub in the 4's in for the variables and you get 21

E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

40% = [tex]\frac{40}{100}[/tex] ( divide numerator and denominator by 20 )

40% = [tex]\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

40%= 40/100

Percent is out of 100 and written as % so there for it is 40 out of 100 or 40 over 100

40/

Answer:

B

B

B

Step-by-step explanation:

Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer

Answer:

d

Step-by-step explanation:

Answer: D. A bad technique because he quickly locks a joint!

Step-by-step explanation: On Edge!

Answer:

0.674

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

this is the correct answr

Answer:

for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.

now,

slope (m1) = (y2-y1)/ (x2-x1)

or, m1= 0-(-3)/ 8-(-4)

or, m1=3/12=1/4

again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)

apply the same formula and find the slope(m2)

m2=6-2/-1-0

or, m2=4/-1

for b) m1 multiply m2

or 1/4 x 4/-1

=-1 so it is perpendicular

Step-by-step explanation:

for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.

while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.

similarly, if m1=m2 then it is considered to be parallel.

here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line

Answer:

[tex]6\cdot2.6=15.6[/tex]$ for [tex]2.6[/tex] pounds

Step-by-step explanation:

Rate - [tex]6[/tex] dollars per pound

We have [tex]2.6[/tex] pounds

Here's our equation

[tex]6\cdot2.6[/tex]

[tex]6\cdot2.6=15.6[/tex] for [tex]2.6[/tex] pounds

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

Answer:

25 feet.

Step-by-step explanation:

The triangles formed are similar so:

5/h = 7/35  where h = height of the pole.

7h = 5*35

h = 5*35/ 7

h = 5*5

h = 25.

Answer:

2+x-4=5

Step-by-step explanation:

Answer:

2+x-4=5

Step-by-step explanation

:) :) :) :) :) :) :) :) :) :) :) :) :) :) :)

Answer: relation 3 function relation 4 not a function

Step-by-step explanation:

Step-by-step explanation:

6) (2x+1) + (x+15) + x = 180

x = 41

So (2x+1) = 83 is the largest one

7) a) x + x+2 + 38 = 180

x=70

b) m<70

c) m<72

8) 9x = 180

x = 20

X =20

H= 40

E = 80

Answer:

105 degrees.

Step-by-step explanation:

Total of angles in trapezoid = 360

so the answer is

360 -(90+90+75)

= 105

Answer:

It should be BOC

Step-by-step explanation:

this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )

so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.

Also, the measure of BOC (angle) should be 53°

Answer:

y =3x + 12

Step-by-step explanation:

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

Step-by-step explanation:

[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27

[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3

[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25

[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]

Answer:

[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Step-by-step explanation:

[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Answer:

1) drinks = $10

2) food = $25

3) total = 7 parts

Step-by-step explanation:

1) 2×5=10

2) 5×5=25

3) 2part+5part=10part

Step-by-step explanation:

the other answer can be a bit confusing.

and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.

anyway, in questions like this you need to first clarify : how many parts are being used as the whole.

think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?

so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.

so the whole pizza was cut into 2+5 = 7 slices.

now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).

remember : we use division for that.

35/7 = $5

so, one slice (or part) of the whole $35 is $5.

since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10

and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25

and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.

Step-by-step explanation:

Step 2 : Subtraction property of equality

Step 3: simplification

Step 4 : Subtraction property of equality

Step 5: Simplification

Step 6: Multiplication property of equality.

Step 7 : simplification

Answer:

Step-by-step explanation:

The terms "characteristic" and "mantissa" refer to parts of the logarithm of a number. Their values will be different, depending on the base of logarithms used.

The base 10 (common) logarithm of 8 is ...

  log(8) ≈ 0.90309

The characteristic is the integer portion of the logarithm: 0.

The mantissa is the fractional portion of the logarithm: 0.90309.

_____

Additional comment

To be more technically precise, the "characteristic" is the "floor" of the logarithm: the greatest integer not greater than the log value. For example, the characteristic of log(0.003) = -2.522879 is -3. The mantissa is the (positive) fractional value after the characteristic is subtracted. The mantissa of log(0.003) is 0.477121.

The mantissa can always be found in log tables. It corresponds to the log of a value between 1 and 10. The characteristic is the exponent of 10 the number would have if it were written in scientific notation.

  0.003 = 3×10^-3

  log(0.003) = log(3) + log(10^-3) = -3 +log(3) = characteristic + mantissa

Answer:

B. a = 5

Step-by-step explanation:

3(a - 4) + 1 = 9 - a

Distribute the 3 into the parenthesis.

3a - 12 + 1 = 9 - a

Add -12 and 1.

3a - 11 = 9 - a

Add a to both sides.

4a - 11 = 9

Add 11 to both sides.

4a = 20

Divide both sides by 4.

a = 5.

Proof:

3(a - 4) + 1 = 9 - a

Substitute variable.

3(5 - 4) + 1 = 9 - 5

Subtract inside parenthesis.

3(1) + 1 = 9 - 5

Multiply 3 and 1.

3 + 1 = 9 - 5

Add 3 and 1.

4 = 9 - 5

Subtract 5 from 9.

4 = 4.