Avery invested $3,800 in an account paying an interest rate of 5\tfrac{1}{2}5
2
1
​
% compounded monthly. Serenity invested $3,800 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1
​
% compounded continuously. After 17 years, how much more money would Serenity have in her account than Avery, to the nearest dollar?

Answer:

70

Step-by-step explanation:

area = l×w×h

area= l×h

2l×2h

Answer:

[tex]x - 15 = 42 \\ x = 57[/tex]

Answer:

x = 57

Step-by-step explanation:

x - 15 = 42.

Add 15 to each side

x - 15+15 = 42+15

x = 57

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

6x³ + x² - 12x - 6x² - x + 12

x(6x² + x - 12) - 1(6x² + x - 12)

(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

(x - 1)(2x - 3)(3x - 4)

Answer:

( x - 1 )( 2x + 3 )( 3x - 4 )

Step-by-step explanation:

Hope this helps!

69

Step-by-step explanation:

angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom

180 - 111 = 69

Answer:

The answer will be 69

This is because angle 3 would also be 111

Angles in a quadrilateral add up to 360

So, 360-(111+111)

=138

there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.

Hope this helps!!

Answer:

1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11

Step-by-step explanation:

Give me brainiest answer please! :D

Answer:

A. x-3

Step-by-step explanation:

f(x)=3x-2 and g(x)=2x+1

(f-g)(x) = 3x-2  - (2x+1)

           Distribute the minus sign

(f-g)(x) = 3x-2  - 2x-1

       Combine like terms

           = x -3

Answer:

2^12

Step-by-step explanation:

answer is in photo above

Answer:

77.91 units²

or

77.91 square units

Step-by-step explanation:

the area of a circle is A=pi*r²

since we only need a certain fraction, we will multiply it with 62/360

62° is the given angle. 360° would be the full circle

A = pi * 12² * 62/360

note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared

Answer:

[tex]c=108.17[/tex]

Step-by-step explanation:

Use Pythagoras theorem to find the hypotenuse:

[tex]c^{2} =a^{2} +b^{2}[/tex]

In this question, take "b" as 90' and "a" as 60'

[tex]c^{2} =60^{2} +90^{2}[/tex]

[tex]c^{2} =3600+8100[/tex]

[tex]c^{2} =11700[/tex]

[tex]c=\sqrt{11700}[/tex]

[tex]c=108.1665383[/tex]

[tex]c=108.17[/tex]

I hope this helps.....

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]

It would take Stephan 5.25 minutes to run a mile

[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

Answer:

Keisha can run faster

Step-by-step explanation:

Stephan can run

3 miles in 15.75 min.

so divide  15.75 by 3 min which would give you:

5.25 mi.

Now Keisha can run

 5 miles in226 min  

now divide 22.6 by 5 min which would give you

4.52 min

so that means Stephan can run faster then Keisha since 4.52<5.25

Keisha can run faster, since  4.52<5.25

Answer:

a = 452.16 ft²    area of walkway

a = -351.68 ft²   area of the walkway minus the area of the fountain

Step-by-step explanation:

Area fountain

a = π16²

a = 256π

Area fountain and walkway

a = π(16 + 4)²

a = π20²

a = 400π

Area Walkway

a =400π - 256π

a = 144π

a = 144 * 3.14

a = 452.16 ft²

------------------------------

I think the Area of the Walkway is what the question should be asking for, but it asked for

"the area of the walkway minus the area of the fountain"

a = 144π - 256π

a = -112π

a = -112 * 3.14

a = -351.68

Answer:

Step-by-step explanation:

Answer:

Hi, it's 19

Step-by-step explanation:

9+10=19   or    10+9=19

Answer:

A and E

Step-by-step explanation:

Given

Graphs A to E

Required

Which do not have solutions

When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.

Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.

Answer:

My best guess is because of so many different factors whether they're envirornmental or himself or anything is possible.

Please mark as Brainliest

Hope this Helps

Answer:

62.8 inches

Step-by-step explanation:

c = πd

c = 3.14 * 20

c = 62.8 inches

Answer:

THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK

Answer:

Step-by-step explanation:

Answer:

Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.

Step-by-step explanation:

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find  - b/2 = - 4, so  -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

y= (x- b2) 2 + c - b2

y= (x+4) 2 - 17

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that [tex]h = 12, r = 1.5[/tex]

What is its volume?

[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]

It's volume is of 84.78 cubic inches.

Answer:

[tex] {b}^{o} = {118}^{o} [/tex]

Step-by-step explanation:

Hint :

Sum of angles = 180°

Simplify :

[tex] {29}^{o} + {33}^{o} + {b}^{o} = {180}^{o} [/tex]

[tex] {62}^{o} + {b}^{o} = 180^{o} [/tex]

[tex] { b}^{o } = {180}^{o} - {62}^{o} [/tex]

[tex] {b}^{o} = {118}^{o} [/tex]

Answer:

0.0052 = 0.52% probability that exactly four will end up being replaced under warranty.

Step-by-step explanation:

For each telephone, there are only two possible outcomes. Either they are replaced under warranty, or they are not. The probability of a telephone being replaced under warranty is independent of any other telephone, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of those, 40% are replaced.

This means that [tex]p = 0.2*0.4 = 0.08[/tex]

Company purchases ten of these telephones.

This means that [tex]n = 10[/tex]

What is the probability that exactly four will end up being replaced under warranty?

This is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{10,4}.(0.08)^{4}.(0.92)^{6} = 0.0052[/tex]

0.0052 = 0.52% probability that exactly four will end up being replaced under warranty.

Answer:

The answer is C (46)

Step-by-step explanation:

Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.

Answer:

Step-by-step explanation:

2/3 x 14 = 28/3 = 9 1/3 hours in two weeks

Answer:

Let the angle is x.

We have:

Since 9.5° > 8.5° it is not acceptable.

If the angle is 8.5° and the height is x, then we have:

The height is at most 13.45 ft

Answer:

the answer is A........