How long does it take an account with a principal of 400 to earn $60 in interest at a simple annual interest rate of 3% It takes_ years

Answers

Answer 1

Answer:

It will take 5 years

Step-by-step explanation:

Have a great day!


Related Questions

Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.

Answers

9514 1404 393

Answer:

  (b)  -36

Step-by-step explanation:

Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)

This table shows the remainder, which is f(-2), is -36.

__

The equation itself can be rewritten in "Horner form" to facilitate evaluation.

  f(x) = (((-x +2)x -1)x +4)x +8

In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.

  f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8

  = (((4)(-2) -1)(-2) +4)(-2) +8

  = ((-9)(-2) +4)(-2) +8

  = (22)(-2) +8

  = -36

  f(-2) = -36 . . . . remainder from synthetic substitution

BRAINLIEST FOR AN ACTUAL ANSWER
Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 24 units to the right of the vertex of the graph of g(x). Which pair of functions could have been used to create the graphs of g(x) and h(x)?

h(x)=x2−24 and g(x)=x2

h(x)=x2+24 and g(x)=x2

h(x)=(x−24)2 and g(x)=x2

h(x)=(x+24)2 and g(x)=x2

Answers

Answer:

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Step-by-step explanation:

Example:  If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Note:  the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.

Answer:

C)h(x)=(x−24)2 and g(x)=x2

Step-by-step explanation:

In a softball game, how far must the catcher throw to second base? Round to the
nearest tenth.
84.9 ft
42.4 ft
0 120 ft
60.8 ft

Answers

Answer:

84.9 ft

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + 60^2 = c^2

3600 + 3600 = 7200

the square root of 7200

84.8528137424 ft or 84.9 ft

Resolver para u.
10u= bu + 20
Simplificar la respuesta tanto como sea posible.
U =
.
.
x 5 ?

Answers

10u = bu + 20
10u-bu=20
u(10-b)=20
u=20/(10-b)

2359 million in standard form

Answers

Answer:

2,359,000,000

Step-by-step explanation:

Answer:

2,359,000,000 would be the standard form

Step-by-step explanation:

I need help this is due Thursday, show your work and answer the question

Answers

Don’t click that link please !

Lamar needs to buy some pencils. Brand A has a pack of 18 pencils for 2.36 . Brand B has a pack of pencils 24 for 4.09 Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better

Step-by-step explanation:

The computation of the unit price for each brand is shown below:

For brand A, the unit price is

= 2.36 ÷ 18 pencils

= 0.1311

For Brand b, the unit price is

= 4.09 ÷ 24

= 0.1704

So here as we can see that brand A would be better as it has less cost as compared with brand B

(4 - x)(3+ 2x) = .................... ​

Answers

Answer:

-2x^2+5x+12

Step-by-step explanation:

(4-x)(3+2x)

12-3x+8x-2x^2

12+5x-2x^2

-2x^2+5x+12

Can someone help me with this ASAP please I’m being timed

Answers

Answer:

false

Step-by-step explanation:

This is because the ones that most likely have a computer are going to play and the ones that dont arent going to play.

It is False you are welcome

The figure is not drawn to scale. PQ and MN are straight lines.
Find ZZ
helpppp

Answers

180-135=45

45+z+87=180
132+z=180
z=48

PLEASE HELP THIS IS AN EMERGENCY!! Given f(x) = 3x2 - 6x + k, and the
remainder when f (x) is divided by X – 1
is 1, then what is the value of k?

Answers

Answer:

The values of

k are

(-4,2)

Step-by-step explanation:

sorry if wrong

HELP ONLY ANSWER IF YOU ARE 100% RIGHT. HAVE BEEN WORKING ON THIS FOR ALMOST 11 HOURS. SHOW WORK PLEASE!!!!!! NO LINKS!!!!

Answers

Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

David was solving the following problem “determine 80% of 10” and got 80. Where did David go wrong? Show your Work!

Answers

Answer: He went wrong when multiplying.

Step-by-step explanation: He went wrong when multiplying because if you actually do the problem your answer would be 8 but he probably did 8 times 10.

PLEASE HELP SOON!
Simplify the inequalities and match them with the graphs that represent them.
(look at the screen shot)

Answers

Answers:

Graph A matches with 7x < 42Graph B matches with x+1 < 8Graph C matches with 3x > 15Graph D matches with 2x > 12

===================================================

Explanation:

For each inequality given, we need to isolate x. We'll solve for x in pretty much the same way we solve an equation. So if we wanted to solve 2x = 12, we would divide both sides by 2 to get x = 6.

Similarly, solving 2x > 12 would lead to x > 6. The inequality sign does not flip. It only flips if you divide both sides by a negative number.

The graph of x > 6 has an open hole at 6 and shading to the right. So that matches with graph D.

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

Solving 7x < 42 leads to x < 6 when we divide both sides by 7. The graph has the open hole at the same endpoint of 6, but now the shading is to the left. This shows all values smaller than 6. Therefore 7x < 42 matches with graph A.

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

We have 3x > 15 match with graph C because that inequality is the same as x > 5, after we divide both sides by 3. We have an open hole at 5 and shading to the right.

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

Lastly, the inequality x+1 < 8 solves to x < 7. We'll have an open hole at 7 and shading to the left. This describes graph B.

Any time you see an open hole, it means "do not include this value as part of the solution set". For instance, with x < 7, we have x = 7 as the open hole. This is because 7 < 7 is a false statement. A number cannot be smaller than itself.

Hi can you please help I’ve been stuck on this question

Answers

9514 1404 393

Answer:

  20 meters

Step-by-step explanation:

Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.

  A = LW . . . . . . . . area is length × width

  80 m² = L·(4 m)

  (80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)

The tarp is 20 meters long.

The circle graph shows the contents of one brand of peanut butter.
How much protein is in 838 g of peanut butter?

Answers

Answer:

209.5 g

Step-by-step explanation:

The chart shows that 25% of the peanut butter is protein.

25% of 838 g =

= 0.25 * 838 g

= 209.5 g

Answer: 209.5 g

HELPPPPP FAST PLEASEEEEEEEEEEEE

Answers

Answer:

45?

Step-by-step explanation:

Im 13 and 2 months years old and im 5'2 my brothers 5'11 and my mothers 4'11 how tall will i be
ANYONE WHO COULD PREDICT MY HEIGHT WILL GET BRAINLIEST!!

Answers

Answer:

5'2

Step-by-step explanation:

length and breadth of a cuboid are 13 cm and 8 cm respectively if the volume of a cube it is 40 cm find the height of the cubiod​

Answers

Answer:

Height of cuboid = 0.384 cm (Approx.)

Step-by-step explanation:

Given:

Length of cuboid = 13 cm

Width of cuboid = 8 cm

Volume of cuboid = 40 cm³

Find:

Height of cuboid

Computation:

Volume of cuboid = length x width x height

13 x 8 x Height of cuboid = 40

Height of cuboid = 0.384 cm (Approx.)

If two cylinders have the same base, and one cylinder has a height of 4 inches and a volume of 120 cubic inches, and the second cyclinder has 7 inches what's the volume of the second cylinder

Answers

Answer:

210 cubic inches

Step-by-step explanation:

The volume V of  a cylinder is given as

V = πr^2h where r is the base radius and h is the height

If two cylinders have the same base, then their radii are the same

Given that one cylinder has a height of 4 inches and a volume of 120 cubic inches then

120 = πr^2 * 4

Divide both sides by 4

30 = πr^2

Given that the second cylinder has a height of 7 inches then the volume

V = πr^2 * 7

Recall that 30 = πr^2

V = 30* 7

= 210 cubic inches

can someone help plz

Answers

Option D. Hope this helps

Write the equation for a line in Slope-Intercept Form (y = mx +b) given the two points below (2,10) (3,-5)

Answers

Given:

The two end points of a line are (2,10) and (3,-5).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is the y-intercept.

The two end points of a line are (2,10) and (3,-5). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-10=\dfrac{-5-10}{3-2}(x-2)[/tex]

[tex]y-10=\dfrac{-15}{1}(x-2)[/tex]

[tex]y-10=-15(x-2)[/tex]

On further simplification, we get

[tex]y-10=-15x+30[/tex]

[tex]y=-15x+30+10[/tex]

[tex]y=-15x+40[/tex]

Therefore, the slope intercept form of the given line is [tex]y=-15x+40[/tex].

please answer and explain if you can ​

Answers

Answer:

no s e

s

Step-by-step explanation:

Answer:

its b and i don't know if you can see the screenshot

Step-by-step explanation:

The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg?

Answers

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

              opposite side

sin Ф = -----------------------

                 hypotenuse

which, in this case, works out to:

                opposite side

sin 30° = -----------------------

                       13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

URGENT!! YOU WILL GET BRAINLIEST!

A carpenter is assigned the job of expanding a rectangular deck where the length is three times the width. The width of the deck is to be expanded by 8 feet and the length is to be expanded by the new width. If the area of the new rectangular deck is 240 ft larger than the area of the original deck, find the dimensions of the original deck.

Answers

Let Xo = original length of the deck
Yo = original width of deck
Therefore:
Yo = (1/6)Xo
The original deck area is:
Ao = XoYo
Ao = Xo(1/6)Xo = (1/6)Xo2
The length of the new deck is 4ft longer than the original deck, or XN = Xo + 4, and the width is 2ft longer than the original, or YN = Yo + 2, and the new area of the deck is 56ft2 than the original area, or AN = Ao + 56.
Therefore: AN = XNYN
Ao + 56 = (Xo + 4)(Yo + 2)
(1/6)Xo2 + 56 = (Xo + 4)(1/6Xo + 2)
(1/6)Xo2 + 56 = (1/6)Xo2 + 2Xo + (4/6)Xo +8
56 = 2Xo + (2/3)Xo +8
56 - 8 = (2 + 2/3)Xo
48 = (6/3 + 2/3)Xo
48 = (8/3)Xo
48(3/8) = Xo
Xo = 18ft
Yo = (1/6)(18)
Yo = 3ft
Check: Ao = XoYo = (18)(3) = 54ft2
XN = Xo + 4 = 18 + 4 = 22ft
YN = Yo + 2 = 3 + 2 = 5ft
AN = (22)(5) = 110ft2
Ao + 56 = AN
54 + 56 = 110
110 = 110 check------->ANSWER: original length, Xo = 18ft
original width, Yo = 3ft

Ethan once heard that wearing colorful socks helped release your positive energy toward others. Being the scientist that he is, he decided to put the claim to the test by running a well-designed study. He had 18 people wearing colorful socks at an auditorium where the rest of the people were wearing white socks. After carefully designing, collecting, and analyzing his data, he found no statistically significant difference between his sample of 18 participants and the rest of the population he studied regarding positive energy. What should Ethan conclude regarding the null hypothesis

Answers

Answer:

The answer is "Choice A".

Step-by-step explanation:

Please find the complete question in the attachment file.

Throughout this question by acceptance of its zero hypotheses becomes equal to "the failure to accept the zero hypotheses." Its best answer is to refuse the null hypothesis or conclude how he had no effects on vibrant socks mostly on basis of this study, that's why the above given choice is correct.

For ABC, let c = 600 ft, m angle B = 50° and then m angle A =30° Then a= ft. Round to nearest whole number.

Answers

Answer: 305 ft

Step-by-step explanation:

Given

[tex]\angle A=30^{\circ}[/tex]

[tex]\angle B=50^{\circ}[/tex]

[tex]c=600\ ft[/tex]

From the angle sum property of the triangle, we can write

[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]

Now using Sine law i.e.

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]

don't know it is complicated



answer quickly and I will mark Branleist

Answers

2pi(r). 2x3.14x6.5 . 40.82 is the circumference of the circle. 40.82/2.5 = 16.33. Therefore she will need 17 pieces of the barrier.

The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. How high does the
ball rise before starting to drop downward?
48 ft
O 100 ft
O 116 ft
O 64 ft

Answers

Answer:

The first one is: H=-6 and t=0

The second one is:16x(3t+4)

And i think the answer is:116

Step-by-step explanation:

Correct me if i'm wrong

10x + 5y = -5 and y= -2x + 6

slope 1st line
slope 2nd line
Type of Lines​

Answers

Answer:

-2 , -2, parallel

Step-by-step explanation:

same slope, different y intercept, parallel

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