(Exponential Models)

a.) Suppose you invest $500 in a savings account that pays 3.5% annual interest. How much will be in the account after 5 years?

$_ _ _ . _ _

b.) Suppose you invest $500 in a savings account that pays 3.5% annual interest. When will the account contain at least $650?

After _ years.

Answer:

-x + 11

Step-by-step explanation:

Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3.  Combine the two like terms together to get the final answer which is -x + 11.

Answer:

Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model

Step-by-step explanation:

Here, we want to choose the correct option

As we are having a circular projection, we should be looking at having a parabolic representation i.e a model that looks like a parabola

So the correct answer in this case is that;

Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model

Answer: The ratio would be 30/15, simplified as 2/1. So, she spent half as much time on science, or twice as much on math.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Prime number is

Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.

Step-by-step explanation:

Answer:

n6666667900087474455

Answer:

I believe m=-5/3

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation:

Given:

The equation is

[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]

To find:

The value of d.

Solution:

We have,

[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]

Taking LCM, we get

[tex]\dfrac{-5d-8d}{20}=39[/tex]

[tex]\dfrac{-13d}{20}=39[/tex]

Multiply both sides by 20.

[tex]-13d=39\times 20[/tex]

Divide both sides by -13.

[tex]d=\dfrac{39\times 20}{-13}[/tex]

[tex]d=-3\times 20[/tex]

[tex]d=-60[/tex]

Therefore, the value of d is -60.

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

0 = 4x + 4

Step 2: Solve for x

Answer:

B) x = 2√2, y = 2

Step-by-step explanation:

The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45.  This means that the two sides on the right angle are the same length, so y = 2.

With that then, you can use the Pythagorean theorem to solve for x:

[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]

So the correct answer is b.  x is equal to two root two, and y is equal to two.

Answer:

A.) 4cd^2

B.) 3a^2b^3

Step-by-step explanation:

simplify by following the rules to adding exponents

Answer:

x=5 y=-6

Step-by-step explanation:

6x + 3y = 12  , 4x + y = 14

4x*3+y*3=14*3

12x+3y=42 , 6x+3y=12

(12x-6x)+(3y-3y)=30

6x=30, x=5

4*5 + y = 14

y=-6

Answer:

Step-by-step explanation:

16 units 40 units 48 units 64 units.

Answer:

64 units

Step-by-step explanation:

Given M lies on LN, so LN = LM + MN --------------(1)

LN = 12x + 16

LM = 10x + 8

MN = 5x - 4

Substituting the values in equation 1, we get:

12x + 16 = (10x + 8) + (5x - 4)

12x + 16 = 15x + 4

15x - 12x = 16 -4

3x=12

Therefore x=4

LN= 12(4) + 16 = 64 units

Answer:

3 divided by 52

Step-by-step explanation:

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

Answer:

We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]

So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

Answer: 1/16 ft²

Step-by-step explanation:

The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².

Each roll is therefore taking up a space of:

= Area/ Number of rolls

Convert the fraction to an improper fraction:

1 ⁵/₈ = 13/8

= 13/8 ÷ 26

= 13/8 * 1/26

= 13/208

= 1/16 ft²

Answer:

5/8

Step-by-step explanation:

my bad

Answer:

Step-by-step explanation:

i got 1.11111111111 hope it helps ( give me brainliest please)

Answer:

a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]

Step-by-step explanation:

a) We evaluate the function at [tex]x = 2[/tex]:

[tex]f(2) = 2\cdot (2) + 1[/tex]

[tex]f(2) = 4+1[/tex]

[tex]f(2) = 5[/tex]

b) First, we determine the inverse of the function by algebraic means:

1) [tex]y = 2\cdot x + 1[/tex] Given

2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property

3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property

4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties

5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties

6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality

7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division

8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result

c)  Now we evaluate the expression obtained on b) at the given number:

[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]

[tex]f^{-1} (7) = 3[/tex]

Answer:

It would be $2.34

Step-by-step explanation:

2.6x90=234 but in this case it is money so add a decimal

Answer:

a = -1

b= 1

Step-by-step explanation:

8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1

but in a, only 8 is in the absolute value bars, not the complete answer

Answer:

7(1/2)

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Krutika:48

David: 48

Mark: 48÷2= 24

Because 2 : 2 : 1

48+48+24=120

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

Answer:

y= −0.3x+4.4

Step-by-step explanation: