Mrs. Bach bought a used car for her son. She borrowed $8000 from Acme Auto at an interest rate of 8% for three years. What will be the total cost of the loan including the amout of interest that will need to be paid back to Acme Auto? A) $1,920 B) $9,920 C) $640 D) 8,640 a A b B c C d D

Answer:

The term rule will be:

[tex]a_n=n+21[/tex]

Step-by-step explanation:

Given the sequence

[tex]22, 23, 24, 25, ...[/tex]

Computing the common difference of all the adjacent terms

[tex]22,\:23,\:24,\:25[/tex]

[tex]23-22=1,\:\quad \:24-23=1,\:\quad \:25-24=1[/tex]

As the difference between all the adjacent terms is the same and equal to

[tex]d=1[/tex]

The first element of the sequence

[tex]a_1=22[/tex]

We know that  An Arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting [tex]a_1=22[/tex], and [tex]d=1[/tex] in the nth term to get the term rule

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=\left(n-1\right)+22[/tex]

[tex]a_n=n+21[/tex]

Therefore, the term rule will be:

[tex]a_n=n+21[/tex]

Answer:

I belive the answer is

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need the rest of the question. What are the choices?

Answer:

HOPE THIS HELPS

Step-by-step explanation:

5. 4/3__>___1.25 6. -78__<___-0.8 7. -0.31___<__-0.303

Answer:

AB=5.6

Step-by-step explanation:

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle, that is

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

x-20%

Step-by-step explanation:

I dont know the options, but hopefully this helps

Answer:wheres the diagram?

Step-by-step explanation:

Answer:

122 so its 70%

Step-by-step explanation:

Answer:

Her proportion does not have corresponding parts in the same position.

Step-by-step explanation:

Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. Her work is shown below.

What was Sharon’s error in finding the missing height measurement for her reduced tower?

Her proportion does not have corresponding parts in the same position.

For cross products, she needed to multiply 1050(328) and 5(x).

She needed to divide both sides by 1640, instead of 1050.

She needed to round down to 1.5 feet.

Height : base = 1,050 : 328

She has room to make a base of 5 feet.

Height : base = x : 5

1,050 : 328 = x : 5

1,050 / 328 = x / 5

Cross product

1,050 * 5 = 328 * x

5,250 = 328x

Divide both sides by 328

x = 5250 / 328

= 16.006

Approximately 16

Sharon's error:

Her proportion does not have corresponding parts in the same position.

Answer:

A

Step-by-step explanation:

Answer:

$558.88

Step-by-step explanation:

Answer:

13/24

Step-by-step explanation:

I got it right.

Answer:

the answer is 13/24 just did it

Step-by-step explanation:

Answer:

-25.5 feet

Step-by-step explanation:

2.5x7=17.5

-8-17.5=25.5

Answer:

x = 76°

y = 128°

z = 16°

Step-by-step explanation:

JKLM is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

x + 104° = 180°

x = 180° - 104°

[tex] \huge \red {\boxed {x = 76\degree}} [/tex]

y + 52° = 180°

y = 180° - 52°

[tex] \huge \purple {\boxed {y = 128\degree}} [/tex]

By inscribed angle theorem:

[tex] 88\degree + z = 2\times 52\degree \\\\

88\degree + z = 104\degree \\\\

z = 104\degree - 88\degree \\\\

\huge \orange {\boxed {z = 16\degree}} [/tex]

Answer:

19 1/2

Step-by-step explanation:

Answer:

-39/2

Step-by-step explanation:

Answer

I guess the best way to learn algebra is first being confident with your arithmetic and PEMDAS/BODMAS, then understanding how substitution works, knowing what like-terms, binomial products, squares, etc are and going through worked examples as well as solving algebraic problems yourself. Of course, to get a grasp on algebra, you should start from the basics and continue working your way up. You should be able to find resources online to help you.

Good luck!

Step-by-step explanation:

Answer:

The answer to this question is:

6x³-33x² + 45x - 6

Step-by-step explanation:

Answer:

srry dont know

Step-by-step explanation:

The required amount of flour will be 12 cups of flour in the recipe.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

A recipe requires for 2 parts sugar to 3 parts flour. 8 cups of sugar are used which is given in the question.  

Let the number of cups of flour would be x,

According to the given question, the required ratio would be as

2 parts sugar : 3 parts flour = 8 cups of sugar : x cups of flour

2 / 3 = 8 / x

2x  = 24

x = 24/ 2

Apply the division operation,

x = 12

Therefore, the required amount of flour will be 12 cups of flour in the recipe.

Learn more about the Ratios here:

brainly.com/question/1504221

#SPJ2

Answer:

Step-by-step explanation:

okay so to get 10% of 20 you just move the decimal to the right one so 25.0 would become 2.5 then to find 20% of that you multiply by 2 so 2.5 x 2 = 5 so that means the team lost 5 girls. 25-5=20 therefor there are 20 players on the team this year

Answer:

8b+7p=20

p = 2b

Step-by-step explanation:

Given that there is a constant speed of 8 km per hour and the number of hours be b so here 8b signifies the distance

Now on the other hand there is a constant speed of 7 km per hour and the number of hours be p so here 7p signfies the distance

So the total distance would be

= 8b + 7p

And, the total km is 20

Now the whole equation would be

8b + 7p = 20

Also it is mentoined that for getting into the park it is twice for getting into the beach

So, it would be

p = 2b

Therefore the system of equations are as follows

8b+7p=20

p = 2b

Answer:

true i think not 100% sure tho

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Answer:

4.50

Step-by-step explanation:

Answer:

$4.50.

Step-by-step explanation:

Answer:

W=Woodchuck

P=Prairie dog

B=Beaver

C=Chipmunk

WP    PB     BC

WB    PC     ----

WC    ----     ----

Hope this helps!

Answer:

Step-by-step explanation:

From the given information:

Let X represent the amount of the stock that goes up in the first period; &

Let Y denote the cumulative amount that goes up in the first three periods.

Then,

[tex]X= X_1 + X_2 \\ \\ \\EX= EX_1 +EX_2\\ \\\\Now ; EX = 0 \\ \\ EX = \dfrac{1}{2}\times 1 + \dfrac{1}{2}\times -1 \\ \\ EX = \dfrac{1}{2}-\dfrac{1}{2} \\ \\ EX = 0[/tex]

[tex]Cov(x,y) = Var(X_1) +Var(X_2) \\ \\ =\dfrac{1}{2}(1+1) + \dfrac{1}{2}(1+1) \\ \\ = \dfrac{1}{2}(2)+ \dfrac{1}{2}(2) \\ \\ = 1+1 \\ \\ =2[/tex]

[tex]Var (X) = Var (X_1+X_2)\\ \\ = 2 \ Var(X_1) \\ \\ = 2 \times (1) \\ \\ = 2[/tex]

[tex]Var (Y) = Var (X_1 +X_2+X_3) \\ \\ = 3 \times Var(X_1) = \\ \\ = 3 \times 1\\ \\ = 3[/tex]

∴

[tex]Corr(x,y) = \dfrac{2}{\sqrt{6}} \\ \\ = \dfrac{2}{\sqrt{2\times 3}} \\ \\= \sqrt{\dfrac{2}{3}}[/tex]

Answer:1.) I chose coin A and B

2.) Coin: B Value: $40 Annual rate: %5

Coin: A Value: $25 Annual rate: %7

3.) Coin: A P: 25 R: 1.07 Function: v = 25(1.07)^t

Coin: B P: 40 R: 1.05 Function: v = 40(1.05)^t

4.) Base: 1+r Initial: P Exponent: t

If R increased, then P would also increase because you must distribute, and you would be distributing R into P there for if R changes then so would P.

5.) Coin A: Initial value: $25 10 years: $25.70 20 Years: $26.40 30 years: $27.10 60 years: $29.20

Coin B: Initial value: $40 10 years: $40.50 20 years: $41 30 years: $41.50 60 years: $43

Coin C: Initial value: $60 10 years: $60.40 20 years: $60.80 30 years: $61.50 60 years: $62.40

6.) Coin A because the value goes up the most and I probably wouldn't be able to keep the coin for more than 60 years because I would lose it.

Step-by-step explanation:

i did it

I also chose coin A and coin B. You can choose any two coins you want, but the answers would turn out different so I recommend using A and B.

Answer:

2.      

Coin: A                     Current value: $25                     Appriciation rate: 7%

Coin: B                     Current value: $25                     Appriciation rate: 5%

3.

Coin: A               P: 25                  R: 0.07                 V(t) = 25(1+0.07)^t

Coin: B               P: 40                  R: 0.05                 V(t) = 40(1+0.05)^t

4.a

Base: 1+R

Constant or initial value: P

Exponent: T

4.b

No, the initial value would not increase, although, by changing the rate would increase the growth.

5.

Value:          25                            

10 years:      V(t) = 25(1.07)^10   -   $49.18

See explaination

Step-by-step explanation:

5.

So when the value is 25, we use the formula from question 3 ( V(t) = 25(1.07)^10 ) and solve

Continue to use the same formula to answer the other numbers of years, only change the exponent, ^10, to the number of years.

For example:  20 years = ^20                 30 years = ^30 and so on.

Also, this is the correct answer to number 5. I got an A on this assignment

Hope this helps <333

Answer:

38.3

Step-by-step explanation:

hope I helped

Answer:

38.3 to be exact its 38.3076

Step-by-step explanation:

Hope this helps stay safe!

Answer:

The answer is "Through which we can infer that perhaps the ABC triangles is obstinate shaped".

Step-by-step explanation:

Paul draws that ABC as well as the Median triangle from and A and B nodes. If the median passes after a certain point, and his marks the point X. Paul now says point X (i.e., a triangle's center) is outside the ABC triangle.  

They may also conclude that perhaps the ABC triangle does have an obtuse angle because the centroid is in the ring in case of even a severe triangle, that centroid is already on the right triangle in case of the triangle and cases of an obtuse-angled rectangle, the angular velocity is an outside ring.

Answer: The maximum # of miles she can use would be 50.

Step-by-step explanation:

75+(.5*x)=100

-75          -75

.5x=25

x=50

Answer: If there is 50 in each box, yes.

Step-by-step explanation: