Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?

Answer:

thanks

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

Given that Gian lives 45 miles east of Salina where Zach lives.

At the same time, both start driving in the same direction towards the east, Zach drives 65 miles per hour and Gina drives 55 miles per hour.

Let A and B are the initial locations of Zach and Gina respectively, after t hours they meet at point C which x miles east of point B as shown in the figure.

Distance traveled by Gina = BC= x miles

As distance = speed x time, so

[tex]x= 55 \times t \cdots(i)[/tex]

Similarly, distance traveled by Gina = AC= (45+x) miles

As distance = speed x time, so

[tex]45+x= 65 \times t \\\\[/tex]

[tex]\Rightarrow 45+55t= 65 \times t[/tex] [ using equation (i)]

[tex]\Rightarrow 10t= 45 \\\\[/tex]

[tex]\Rightarrow t = 45/10 = 4.5[/tex] hour

Hence, the required time is 4.5 hours.

Answer:

slope: 15

y-intercept: 20

y=15x+20

Step-by-step explanation:

Answer:

$14.70

Step-by-step explanation:

31.50/15=2.10

2.10*7=14.70

Answer:

Step-Distance  =  (speed) x (time)

                     (3 m/sec) x (45 sec)  =  135 meters  by-step explanation:

Answer:

The correct answer is D.) 135 m

Step-by-step explanation:

I just did the instruction on edge 2021 and got it right

Answer:

f(x)=-1/4x-2

Step-by-step explanation:

m=-3-(-2)/4-0=-1/4= slope

b=y-intercept=-2,

so f(x)=-1/4x-2

A linear function f with f(4)=−3 and f(0)=−2 is

[tex]f(x)=-\frac{1}{4}x-2[/tex]

Given :

a linear function f with f(4)=−3 and f(0)=−2.

f(0)=-2. It means y intercept is -2

Linear equation of a line is given by y=mx+b

where m is the slope and b is the y intercept

y intercept b is -2

Lets find out slope m . Lets use f(4)=-3  that is when x=4 the value of y is -3

[tex]y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}[/tex]

Now we replace in the equation of line y=mx+b

[tex]y=mx+b\\y=-\frac{1}{4}x-2[/tex]

Replace y with f(x) to get linear function

[tex]f(x)=-\frac{1}{4}x-2[/tex]

Learn more: brainly.com/question/19065330

A3.5x+1008y

Step-by-step explanation:

Answer:

Brenton's annual earnings are $39,240.

Answer:

The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

Step-by-step explanation:

Given

[tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex]

We know the rational zeros theorem such as:

if [tex]x=c[/tex] is a zero of the function [tex]f(x)[/tex],

then [tex]f(c) = 0[/tex].

As the [tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex] is a polynomial of degree [tex]4[/tex], hence it can not have more than [tex]4[/tex] real zeros.

Let us put certain values in the function,

[tex]f(5) = 448[/tex], [tex]f(4) = 126[/tex], [tex]f(3) = 0[/tex], [tex]f(2) = -20[/tex],

[tex]f(1) = 0[/tex], [tex]f(0) = 18[/tex], [tex]f(-1) = 16[/tex], [tex]f(-2) = 0[/tex], [tex]f(-3) = 0[/tex]

From the above calculation results, we determined that [tex]4[/tex] zeros as

[tex]x = -3, -2, 1,[/tex] and [tex]3[/tex].

Hence, we can check that

[tex]f(x) = (x+3)(x+2)(x-1)(x-3)[/tex]

Observe that,

[tex]for x > 3[/tex], [tex]f(x)[/tex] increases rapidly, so there will be no zeros for [tex]x>3[/tex].

Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

Answer:

Step-by-step explanation:

A

Answer:

The histogram shows the heights in meters of trees in a certain section of a park.  

How many trees are less than 20 meters tall?

Answer: From the given histogram, we clearly see:

There is 1 tree with height less than 8 meters

There are 1 + 2 = 3 trees with height less than 12 meters

There are 3 + 2 = 5 trees with height less than 16 meters

There are 5 + 4 =9 trees with height less than 20 meters.

Therefore, the correct option is B. 9

Step-by-step explanation:

Answer:

C.) I believe

Step-by-step explanation:

Answer:

30/t = 18/r

30 = 18t/r

30r = 18t

18t = 30r

18t/18 = 30r/18

t = 5/3r

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

30/t = 18/r

30r = 18t/r

30r = 18t

30r/30 = 18t/30

r = 3/5 t

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

r = 3/5t, t = 5/3r

Answer: 4x

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

Answer:

11 quarters and 9 dimes

Step-by-step explanation:

because 11 quarters = $2.75

and 9 dimes = $0.90

      $2.75

+     $0.90

____________=  $3.65 with only 20 coins :)

Answer:

20

Step-by-step explanation:

[tex]3(y - 6) = 42 \\ \\ y - 6 = \frac{42}{3} \\ \\ y - 6 = 14 \\ \\ y = 14 + 6 \\ \\ y = 20[/tex]

Answer:

Step-by-step explanation:

The set up will give a right angles triangle;

Given

The height of the ramp (opposite) = 6 foot

distance away along the ground = 40 feet (adjacent)

Required

Angle of depression theta

Using the TOA identity;

tan theta = opposite/adjacent

tan theta = 6/40

tan theta = 0.15

theta = tan^-1{0.15}

theta =8.53 degrees

hence the angle of depression to nearest tenth of a degree is 89.5 degrees

Answer: D

Step-by-step explanation: If you plug in the formula, it works.

Answer:

D

Step-by-step explanation:

Answer:

What r u asking to find. Show the directions

Step-by-step explanation:

Answer:

(x-1)  (x+8)

Step-by-step explanation:

Use the sum-product pattern:

x^2+7x-8

x^2+8x-x-8

Common factor from the two pairs:

x^2+8x-x-8

x(x+8)-1(x+8)

Rewrite in factored form:

x(x+8)-1(x+8)

Solution:

(x-1) (x+8)

Answer:

around 66% of their games

Step-by-step explanation:

So if we add 20 and 10 we get 30 which is the total amount of games played. We know that the team won 20 of the 30 games which we can reduce to 2/3. 2/3 is equal to 66.66 but most people just say 66% or you can round it up to 67%

Hope I helped!

Answer:

I hope you're having a great day too! And thanks for the joke :)

Step-by-step explanation:

Answer:299.94

Step-by-step explanation:youre welcome

Answer:

2(3x-20)

Step-by-step explanation:

2(3x-20) that's your answer..

Answer:

[tex]3.84\times10^8\ m[/tex]

Step-by-step explanation:

It is given that,

The average distance between the Earth and the Moon is 384 400 km.

We need to express in in standard form.

1 km = 1000 m

It means,

384400 km = 384400000 km

or

= [tex]3.84\times10^8\ m[/tex]

Hence, the average distance between the Earth and the Moon is [tex]3.84\times10^8\ m[/tex].

(0,7) , (7,8)

Y-intercept is at (0,7) and the slope is 1/7 so from the y intercept, go up 1 and over 7.

Answer:

Step-by-step explanation:

∠K = 180 - 67.8

    = 112.2°

∠J = ∠L = 180 - 112.2

                      2

∠J = ∠L = 33.9°

Answer:

Step-by-step explanation:

Given tq equation of the height reached by the rocket as y=-16x^2+235x+133

The velocity of the object at its maximum height is zero

v = dy/dx = 0(at max height)

v =-32x +235

0 =-32x+235

x = 235/32

x = 7.34

Hence the rocket will reach its maximum height after 7.34seconds

Answer: -16

Step-by-step explanation:

4m-15m-50=126

-11m=126+50

-11m=176

m=176/-11

m=-16