Jennifer invests $2,024 in a savings account with a fixed annual interest rate of %4 compounded 6 times per year. What will the account balance be after 8 years?

Answer:

13/20

Step-by-step explanation:

To add fractions without the common denominator, you have to make them equal so

1/4 x 5 = 5/20

2/5 x 4 = 8/20

5/20 + 8/20 = 13/20

Answer:

13/20 miles.

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{2}{5}[/tex]

= [tex]\frac{5}{20} +\frac{8}{20}[/tex] (find the common denominator and convert the fractions)

= [tex]\frac{13}{20}[/tex]

13/20 is the most simplified it will go, so you will have walked 13/20 miles.

Hope this helps!

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

Answer:

the choice is equivalent to -25

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

Explanation:

x = smaller number

8x = larger number, since it's 8 times larger than the smaller

8x-x = 7x = difference of the numbers

That difference is 21, so we can say 7x = 21 which solves to x = 3

The smaller number is 3 and the larger is 8x = 8*3 = 24

As a check: 24-3 = 21, which confirms the answer.

70%

Hope this helps! :)

______________

Answer:

30%

Step-by-step explanation:

400 = 100%

4 = 1%

400 - 280 = 120

120 ÷ 4 = 30

Answer:

The minimum unit cost is $9374.

Step-by-step explanation:

The unit cost C for making x engines is given by the quadratic function:

[tex]C(x)=0.3x^2-162x+31244[/tex]

We want to determine the minimum unit cost.

Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 0.3, b = -162, and c = 31244.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]

In other words, in order to achieve the minimum cost, only 270 engines must be made.

Then to find the minimum cost, substitute the value back into the function. So:

[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]

The minimum unit cost is $9374.

Answer:

A. 42 [tex]u^{2}[/tex]

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 [tex]u^{2}[/tex]

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

Answer:

5

Step-by-step explanation:

since x + 3 is a factor of the polynomial that means -3 is a value of x

substitute x = -3

next see attachment

Answer:

in the survey, 16 out of 80 students who where asked favored chicken nuggets.

so we need to calculate like this:

530 * 16/80

=530 * 1/5

=530/5

=106

hope this helps your understanding, wish you good grades

Answer:

7,1 and 7,2

Hope it helped!!!

Answer:

(9,3)

Step-by-step explanation:

Hope this helps

value of x is equally to -7 or -10

Answer:

3. positive correlation but not causal relationship

Step-by-step explanation:

A positive correlation is when one factor increases, the other factor increases as well.

A negative correlation is when one factor increases, the other factor decreases.

A causal relationship is when one factor causes the other factor change in a certain way (i.e. increase or decrease).

More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.

I hope this helps! If you have any question, feel free to as. :)

Answer:

4:5

Step-by-step explanation:

32:40

=>32/40

=>diving numerator and denominator by 8

=>4/5

=>4:5

Answer: 4:5

Step-by-step explanation:

32 and 40 share a common factor of 8. We can divide both of them by 8 so that the ratio stays the same value and it'll be in it's simplest form.

[tex]\frac{32}{8} =4\\\frac{40}{8} =5[/tex]

4:5 is the final answer.

Answer:

I hope this helps

Step-by-step explanation:

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

Answer:

c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

5 * 1/5 + 1/5 * 15 = 4

Answer:

4

Step-by-step explanation:

5c+ cd

Let c = 1/5 and d = 15

5 * 1/5 + 1/5 * 15

Multiply first

1 + 3

Then add

4

Answer:

c

Step-by-step explanation:

Answer:

32m^2

Step-by-step explanation:

32m^2

8*4 = 32

Have a nice day!  :-)

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 ,  r = 3.4% =0.034, n =4

[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]

Hence, the amount of money in his account after 4 years = $7,658.73

Answer:

2,3

Step-by-step explanation:

Answer:

I think I know what question you are trying to write because it sounds like the question I did years ago.

It is Rs 200

Step-by-step explanation:

Your welcome! :)

Answer: It will have a minimum.

Answer:

y= -x+1/2

Step-by-step explanation:

Answer:

A

sinse its side angle side so the angle beside the side is second

hope it helps

Step-by-step explanation:

The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.

According to the given question.

We have two triangle NDA and MTO in which

m ∠NDA = m ∠MTO

and  NA = MT

Now, according to ASA congruency rule

NA = MT

if m ∠DNA = m ∠TMO

Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.

Thus, option A is correct.

Find out more information about ASA congruency rule here:

https://brainly.com/question/2848632

#SPJ3

The fixed monthly payment for this loan is $186.07.

Each month, the borrower will make a payment of $186.07, which will include both interest and principal.

The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.

It is the interest calculated on the principal at a given rate for a time period.

We have,

Here is an example of a simple interest-amortized loan with fixed monthly payments:

Loan amount: $10,000

Interest rate: 5% per year (0.42% per month)

Loan term: 5 years (60 months)

To calculate the fixed monthly payment, we can use the formula:

P = (Pv x r) / (1 - (1 + r)^(-n))

where:

P = monthly payment

Pv = present value of the loan (the amount borrowed)

r = monthly interest rate

n = total number of payments

Substituting the given values,

P = (10,000 x 0.0042) / (1 - (1 + 0.0042)^(-60))

P = $186.07 (rounded to the nearest cent)

Therefore,

The fixed monthly payment for this loan is $186.07.

Each month, the borrower will make a payment of $186.07, which will include both interest and principal.

The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16