Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years

Answers

Answer 1

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct


Related Questions

what did Isabella do incorrectly

Answers

Answer:she added another 3000 to the answer

Step-by-step explanation:she was supposed to add the same amount as the first time so the amount should be $7591.92. hope this helps and I want brainliest.

Find the missing side lengths. Leave your answers as radicals in simplest form

Answers

Answer:

i think the answer is c but im not sure sorry if im wrong

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

pt B: (-1, -8)

Step-by-step explanation:

(x - 7)/2 = -4

x - 7 = -8

x = -1

(y-6)/2 = -7

y - 6 = -14

y = -8


please helpppp to find the answer would really appreciate it !

Answers

Answer:

the answer is in the attachment

An equation for a quartic function with zeros 4, 5, and 6 that passes through
the point (7, 18) is

Answers

Answer:

One example of this can be:

P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)

Step-by-step explanation:

A quartic equation is a polynomial of degree 4.

Now, remember that for a polynomial of degree n, with leading coefficient A and zeros {x₁, x₂, ..., xₙ}

The polinomial can be written as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case we know that we have the zeros 4, 5 and 6.

Notice that this is a polynomial of degree 4 but we have 3 zeros, so one of them may be a double one, i will assume that is the 5.

And we have a leading coefficient that we do not know, let's call it A

Then we can write our polynomial as:

P(x) = A*(x - 4)*(x - 5)*(x - 5)*(x - 6)

Now we know that the polynomial passes through the point (7, 18), then:

P(7) = 18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)

With this equation, we can find the value of A.

18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)

18 = A*12

18/12 = A

(3/2) = A

Then our equation can be:

P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)

why did the german soilders let the prisoners sing while they were marching? PLSSS HELP ILL MARK BRAILIEST. if u give a link i will not so don’t even try :). pls help!!!!

Answers

They had to sing songs of symbolic value.

encontre as raízes quadradas dos números:
a)²√625​

Answers

25

porque al multiplicar 25×25 nos da 625

Answer:

25

Step-by-step explanation:

25x25=625

What is the area of a circle whose diameter is 102

Answers

Answer:

area = 8167.14 units ²

Step-by-step explanation:

area = πr²

r = 102/2 = 51

area = (3.14)(51²) = 8167.14 units ²

It is A≈8171.28 because you Using the formulas A= πr2 d=2r
Solving forA
A=1
4πd2=1
4·π·1022≈8171.28249

help I will give brainiest if you can atleast do three​

Answers

1.) A=pi(r)^2

2.) V=Bh

3.) 3.1

4.) 20

5.)36

6.) 10

7.)18

Answer:

Step-by-step explanation:

1.) formula of circle =pi times r^2

2.)volume of cylinder =pi times r^2 times h

3.)value of pi rounded = 3.14

4.) diameter of can A =2r=2(10) = 20

diameter of Can A is 20

5.)diameter of can B =2r =2(18) =36

diameter of Can B is 36

6.)radius = 10

7.)radius =18

I did all of them.

Find the volume of this square pyramid

Answers

Answer:

216

Step-by-step explanation:

Answer:

72yd

Step-by-step explanation:

Hope that helps

hsobsnsjns

If x= 35, then what is the measure of arc EF?

Answers

Arc EF would be 145. arc EFG would equal 180°, so if you do 180-35, you get 145.

PLSSSSSS HELPPPPP PLS I NEED HELPPP PLSS


Let equal the price of one smoothie. Complete the equation.
(5 smoothies) (price of 1 1 Smoothie)+tip= $23

Answers

Answer:

5x+3=23

Step-by-step explanation:

Answer:

$4 per smoothie

Step-by-step explanation:

5x+4=23

СК - висота трикутника АВС. Знайдіть градусну міру кута А

Answers

Inglis please. Thank you.

Work out 5/6 x 3/4
Give the answer as a fraction in its simplest form.​

Answers

Answer:

The answer is 5/8

Step-by-step explanation:

Help is much needed pls. I can only put 15 points.

Answers

Answer:

9.2

Step-by-step explanation:

first i added 5 + 3 = 8

then i did 1 1/5 + 8=9 1/5

The height of a cone is twice the radius of its base.

What expression represents the volume of the cone, in

cubic units?

23x3

49X3

Answers

Answer:

2/3πx³

Step-by-step explanation:

Volume of a cone is expressed as;

V = 1/3πx²h ... 1

x is the radius

h is the height of the cone

If the height of a cone is twice the radius of its base, then;

h = 2x ... 2

Substitute equation 2 into 1

Recall that V =  1/3πx²h

V = 1/3πx²(2x)

V = 2/3πx³

Hence the expression that represents the volume of the cone is 2/3πx³ cubic units

HELP PLEASE what’s the answer!?!?

Answers

Answer:

this is the answer for 4th question

and it is a collinear

Answer:

C=20

Step-by-step explanation:

This is for question 3

For perpendicular lines , the product of their gradient should give -1 for the answer and thus,

3×x=-1

x=-⅓, the gradient for the line.

Therefore c =

-2-3/c- 5 =-⅓

-1(c-5)=3(-2-3)

-c+5=-6-9

-c=-6-9-5

-c=-20

The negatives cancel each other leaving c as 20

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

Answers

Answer:

Cosec <F = 73/55

Step-by-step explanation:

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

First you must know that;

Cosecant <F = 1/sin<F

Given

∠G=90°, GF = 48, EG = 55, and FE = 73.

ED ,= hyp = 73

EG = opp = 55*side facing <F

Using DOH CAH TOA

Sin theta = opp/hyp

Sin <F= 55/73

Reciprocate both sides

1/sinF = 73/55

Cosec <F = 73/55

6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world.

Answers

Answer:

The correct statement is B (are very sensitive to change in price)

Step-by-step explanation:

Option B is correct because of the following reason -:

The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.

Hence , the correct option is B .

The answer choices are..
A. 90°
B. 250°
C. 87°
D. 110°

Answers

Answer:

87°

Step-by-step explanation:

10/y=2/9, find the solution of y. stat.

Answers

Answer:

y=45

Step-by-step explanation:

Let's solve your equation step-by-step.

10 y = 2 /9

Step 1: Cross-multiply.

10 y = 2 /9

(10)*(9)=2*y

90=2y

Step 2: Flip the equation.

2y=90

Step 3: Divide both sides by 2.

2y /2 = 90 /2

y=45

brainliest please?

Answer:

y = 45

Step-by-step explanation:

10/y=2/9

10 = y * 2/9  

10 = 2/9y

10 * 9 = 2/9y * 9

90 = 2y

90/2 = 2y/2

y = 45

ps: * means multiply

Im new here :) but hey you got these qs try your best okie

I hope and im glad to help

Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B

Answers

Answer:

5.63cm

Step-by-step explanation:

to find length of side AB

12[tex]cos[/tex][62°]

=5.63cm

300 mm
40 cm
50 cm
2 dm
Slice of a cake

Answers

Answer:

The correct answer in each case is:

Surface area = 60 [tex]cm^{2}[/tex]Surface area = 6000 [tex]mm^{2}[/tex]Surface area = 0.006 [tex]m^{2}[/tex] Volume = 1200 [tex]cm^{3}[/tex]

Step-by-step explanation:

First, to calculate the surface area or the volume you must have all the measures in the same units, for the exercise we're gonna use centimeters and after we can replace the units in the answer if we need, then:

300 mm = 30 cm 40 cm 50 cm 2 dm = 20 cm

Now, to obtain the surface area of the triangle we're gonna use the next formula:

Surface area = (base * height) / 2

And we replace the values in centimeters:

Surface area = (30 cm * 40 cm) / 2Surface area = (120 [tex]cm^{2}[/tex]) / 2Surface area = 60 [tex]cm^{2}[/tex]

To obtain this same value now in square milimeters, you must know:

1 [tex]cm^{2}[/tex] = 100 [tex]mm^{2}[/tex]

Now, you must multiply:

60 [tex]cm^{2}[/tex] * 100 = 6000 [tex]mm^{2}[/tex]60 [tex]cm^{2}[/tex] = 6000 [tex]mm^{2}[/tex]

To obtain this value now in [tex]m^{2}[/tex], you must know:

1 [tex]m^{2}[/tex] = 10000 [tex]cm^{2}[/tex]

You must divide:

60 [tex]cm^{2}[/tex] / 10000 = 0.006 60 [tex]cm^{2}[/tex] = 0.006 [tex]m^{2}[/tex]

By last, to obtain the volume of the piece of cake, you can use the next formula:

Volume of the piece of cake: surface area * depth

And we replace the surface area in [tex]cm^{2}[/tex] because the answer must be in [tex]cm^{3}[/tex]:

Volume of the piece of cake: 60 [tex]cm^{2}[/tex] * 20 cmVolume of the piece of cake: 1200 [tex]cm^{3}[/tex]

Find the volume of the following. Round to nearest hundredths place:
Use 3.14 for II
+
7 mi
2 mi

Answers

Answer:

volume of cone=1/3×pi×r²×h

volume of cone =1/3×22/7×(2mi)²×7mi

volume of cone =29.32mi³

Help! Look at my last most recent question for 100 points. This one only offers 10.

Answers

Answer: 2.43m^3

Step-by-step explanation:

Answer: 2.43cm^3

Step-by-step explanation:

PLEASE mark me BRAINIEST! One more until next ranking!

If y varies directly as x, and y = 6 when x = 4, find y when x = 12.
y =

Answers

y=14 I hope this helps!!

HELPPPP

Diane draws an obtuse, isosceles triangle with two of the angles measuring 25° each.
What is the measure of the obtuse angle in her triangle?

Answers

Answer:

130⁰. unsure. angle sum, 25+25+x =180, so x=180-25-25

ASAP PLEASE

Type in your response.

What is the area of kite ABCD?

sq yd

Answers

Answer:

51.5?

Step-by-step explanation:

I think it's just length times width divided by 2

The area of the kite ABCD is 51.56 square yards.

What is the area of the kite?

A kite's area is the amount of space enclosed or surrounded by a kite in a two-dimensional plane.

A kite's area equals half the product of its diagonal lengths. The formula for calculating a kite's area is:

Area = 1/2 × d₁ × d₂

Where d₁ and d₂ are long and short diagonals of a kite.

Here, AC = 12.5 yards and BD = 8.25 yards

Substitute the values of d₁ = 12.5 yards and d₂ in the formula of the kite's area:

The area of the kite = 1/2 × 12.5 × 8.25

The area of the kite = 51.5625

The area of the kite ≈ 51.56 square yards

Thus, the area of the kite ABCD is 51.56 square yards.

Learn more about the area of the kite here:

https://brainly.com/question/2292872

#SPJ7

A circular opening of an ice cream cone has a diameter of 23 centimeters. The height of the cone is 17 centimeters, what is the

volume of the cone?

round to hundredth decimals if necessary.

Answers

Answer:[tex]2355.31\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of the cone is  [tex]d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm][/tex]

The height of the cone is  [tex]h=17\ cm[/tex]

The volume of a cone is  [tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3[/tex]

Thus, the volume of the cone is [tex]2355.31\ cm^3[/tex]

What kind of equation is shown below?
x2 + 6x - 13 = 0

Answers

Answer:

quadratic equation

Step-by-step explanation:

Answer:

the equation shown here is a quadratic equation

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