a car travels 304 miles on 16 gallons of gas how far can a car travel on 5 gallons

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals are made, it will take him 8.86 years for the account to grow to $3000

From the information given:

By using the compound interest formula:

[tex]\mathbf{A = P( 1+\dfrac{r}{n})^{nt}}[/tex]

replacing the values from above, we have:

[tex]\mathbf{3000= 2000( 1+\dfrac{0.046}{4})^{4t}}[/tex]

[tex]\mathbf{\dfrac{3000}{2000}= ( 1+\dfrac{0.046}{4})^{4t}}[/tex]

[tex]\mathbf{\dfrac{3000}{2000}= ( 1+0.0115)^{4t}}[/tex]

[tex]\mathbf{\dfrac{3000}{2000}= ( 1.0115)^{4t}}[/tex]

[tex]\mathbf{log(\dfrac{3000}{2000})= 4t \times log ( 1.0115)}[/tex]

[tex]\mathbf{0.17609= 4t \times0.004966}[/tex]

[tex]\mathbf{t = \dfrac{0.17609}{4 \times 0.004966 }}[/tex]

t = 8.86 years to the nearest hundredth.

Learn more about compound interest here:

https://brainly.com/question/14295570?referrer=searchResults

Answer:

A

Step-by-step explanation:

Answer:

6 3/4 or 27/4

Step-by-step explanation:

(27 / 2) / 2 = 6.75

Answer:

the answer is the second choice

Step-by-step explanation:

2 steps right and 5 up in mathematics is written as:

x->x+2 and y->y+5

For instance, in the point L

(-5,-2) --> (-5+2,-2+5)=(-3,3)

which is L'=(-3,3)

and so on.

Answer:

42

Step-by-step explanation:

answer is 42 bc I don't see the question you are asking.

And there is no question showing

Answer:

A population numbers 18,000 organisms initially and decreases by 3% each year

Step-by-step explanation:

Answer:

Universe of Fun

Journal Entries are used to record transactions:

January 1, 2021:

Debit Cash Account $692,353

Debit Bonds Discount $57,647

Credit Bonds Payable $750,000

To record the issue of 9% bonds, semiannual interest, that mature in 15 years.

June 30, 2021:

Debit Interest Expense $35,672

Credit Discount Amortization $1,922

Credit Cash Account $33,750

To record the interest expense and discount amortization.

December 31, 2021:

Debit Interest Expense $35,672

Credit Discount Amortization $1,922

Credit Cash Account $33,750

To record the interest expense and discount amortization.

Step-by-step explanation:

Bonds Payable = $750,000

Bonds issued at a discount = $692,353

Bonds discount = $57,647 ($750,000 - $692,353)

Interest rate = 9%

Interest expense, semiannually = $33,750 ($750,000 * 9%)/2

Maturity of bonds = 15 years

Bonds discount will be amortized over 15 at $3,843 per annum ($57,647/15) on straight-line basis

Bonds discount semiannually = $1,922

b) Bonds discount arise as Universe of Fun issues the $750,000 bonds for $692,353 (less by $57,647).  This means that the bondholders are paying less than the face value, but will be repaid the full face value at maturity.

Answer:

24

Step-by-step explanation:

9+(7x4)-13

9+28-13

37-13

24

Answer:

1/2

Step-by-step explanation:

Rise over Run... 2/4

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

Answer:

P = 7

Step-by-step explanation:

46+8=54

54-5=49

49÷7=P

Answer:

4/9c

Step-by-step explanation:

When dividing by fraction, multiply by its reciprocal.

so 7a/9bc × 12b/21a = 84ab/ 189abc

Simplify

84/189c

4/9c

miles and hours is the correct option.

NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU

Answer:

[tex]range=5.1[/tex]

Step-by-step explanation:

The range of a set is found by subtracting the lowest number from the greatest number.

The greatest number is 2.8 , and the lowest is -2.3. Subtract the values:

[tex]2.8-(-2.3)[/tex]

Two negatives make a positive, so:

[tex]2.8+2.3=5.1[/tex]

:Done

Answer:

2 servings

Step-by-step explanation:

1 pound is 16 ounces

Answer:

0.32989690721

Step-by-step explanation:

Answer:

rounded to the nearest hundred: 0.33

Step-by-step explanation:

hope this helps :3

um is the end a 3 and 2 or 32 or 3*2?

Answer:

the answer to your question is 48

Answer:

It is the first one 15 is the y intercept slope 8/1

Answer:

1,092.8 ft

Step-by-step explanation:

The information here gives us a right triangle.

Let "y" represent the length of the base. (Adjacent length)

Height of the tower = 984 ft (opposite length)

Angle of elevation = 48° (reference angle)

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(48) = \frac{y}{984} [/tex]

Multiply both sides by 984

[tex] tan(48) \times 984 = \frac{y}{984} \times 984 [/tex]

[tex] 1,092.8 ft = y [/tex] (nearest tenth)

Answer:

x = -24

Step-by-step explanation:

-x+6=30

-x=24

x=-24

Answer:

39 / 3 = 13

Step-by-step explanation:

first find out how many times 39 goes into 3 by writing the multiplication facts of 3.

3x1=3             3x8=24

3x2=6            3x9=27

3x3=9            3x10=30

3x4=12           3x11=33

3x5=15           3x12=36

3x6=18           3x13=39

3x7=21           3x14=42

You use 3x13 because 3x13 equals to 39 and that is our dividend.

The answer is 13

Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Answer:

1. PNT

2.RNM

3.QNM

4.UYZ

5. None

6.VYZ

7.none

Step-by-step explanation:

suplametery means when you add to angles together it will equal 180

while complementery is when to angels are added together to make 90 degrees

Answer:

29.05% of cookies sold were oatmeal cookies.

Step-by-step explanation:

Students sold chocolate chip cookies = 145

Students sold oatmeal cookies = 95

Students sold sugar cookies = 87

Total cookies sold = 145+ 95 + 87

Total cookies sold= 327

The formula used to find percentage is : [tex]Percentage = \frac{part}{whole}*100[/tex]

Now, finding percent of the cookies sold that were oatmeal

Percentage of oatmeal cookies sold = [tex]\frac{95}{327}*100[/tex]

Percentage of oatmeal cookies sold = 29.05 %

So, 29.05% of cookies sold were oatmeal cookies.

Answer: y=1x+9

Step-by-step explanation: Hope this helped!!

Answer:

Step-by-step explanation:

8).  [tex]\left \{ {{4x+3y=1} \atop {x+y=2}} \right.[/tex]

(2) × [ - 3 ]

4x + 3y = 1 ........ (3)

- 3x - 3y = - 6 .... (4)

(3) + (4)

x = - 5

- 5 + y = 2 ⇒ y = 7

( - 5 , 7 )

9). [tex]\left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.[/tex]

(1) ÷ [- 3]

3x - y = - 6  ......... (3)

2x + y = - 4 ........ (4)

(3) + (4)

5x = - 10 ⇒ x = - 2

2(- 2) + y = - 4 ⇒ y = 0

(- 2, 0)

10). [tex]\left \{ {{x-2y=14} \atop {10x-6y=0}} \right.[/tex]

(2) ÷ 10

x - 0.6y = 0 ⇒ x = 0.6y -----> (1)

0.6y - 2y = 14

- 1.4y = 14

y = - 10

x - 2(- 10) = 14 ⇒ x = - 6

(- 6, - 10)

Now is your turn, you can do it!!

Answer:

B is the answer. Just substitute 14 in for x.

Step-by-step explanation:

Answer:

It is not a function.

Step-by-step explanation:

This is not a function, because there is more than one y value when x = -1.  A function has one value for each x value.