Jericho wants to start saving to
purchase a house. His goal is to save $92,400. If he deposits $56,000 into an account that pays 2.92% interest compounded daily, approximately how long will it take for his money to grow to the desired amount? Round your answer to the nearest tenth of a year.

a) 19.3 years
b) 21.7 years
c) 15.4 years
d) 17.2 years​

Answers

Answer 1

Answer:

its B

Step-by-step explanation:

Answer 2

If he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that,

Principal(P) = $56,000

Rate(R) = 2.92%

Time(T) = x years

Interest(I)=?

The amount to be collected to save the money is,

=$92,400 - $56,000

=$36,400

Interest = $36,400

The formula for the simple interest is,

I=(P×R×T)/100

Substitute the given value as

[tex]\rm 36400=\frac{\left(56000\times \:2.92T\right)}{100} \\\\ \frac{\left(56000\times \:2.92T\right)}{100}=36400 \\\\ \frac{100\times \:56000\times \:2.92T}{100}=36400\times \:100 \\\\ 163520T=3640000 \\\\ T=\frac{1625}{73} \\\\ T=21.7 \ years[/tex]

Thus, if he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.

Learn more about the simple interest here:

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Related Questions

solve the inequality
-25/12 ≤ v + 5/3

Answers


V is greater than or equals to -15/4

Solve for x in the following equation: 2x+3=9

Answers

Answer:

x= 3

Step-by-step explanation:

2x+3=9

2x = 6

x=6/2

x=3

plz help me with this

Answers

Step-by-step explanation:

numbers 1 4 and 7

Below is the graph of linear equation F(x)-2x-4
AL
1. Which point represents the grach's yntercept?
A. Part A C. Point
B. Parte D. Point

2 Which point represents the grach's recept?
A. Porta C. Point
B. Part 3
D. Ponto
1 Which ont represents the grach's 2007
A. Part C. Ponto
B Parts D. Point

Answers

Answer:

1. B. point B.

2. C. point C.

3. C. point C.

Step-by-step explanation:

1. In order to find the graph's y-intercept, we need to locate the point where the line crosses the y-axis. This will always happen at x=0, therefore, the y-intercept is located at point B (0,-4)

2. In order to find the x-intercept, we need to find the point where the line crosses the x-axis. This will generally happen when y=0, so that will be point C (2,0)

3. In order to find the graph's zero, we need to find the point where y=0. In other words, the graph's zero is the point where the function is equal to zero (the x-intercept) so this will br point C again (2,0)

Part B: You can also find the standard deviation for the binomial probability distribution of a specific outcome in a binomial experiment. Use the formula to find the standard deviation. You've already identified n and p in Part A. Show your work, and round your answer to two decimal places.

Answers

Answer:

Mean = np + n(n-1)p²

Standard Deviation= √ σ²   = √npq

Step-by-step explanation:

The m.g.f of the binomial probability distribution b(x;n,p) is derived as below.

M₀t = E (e)^tx

        = ∑(e)^tx (nCx) (p)^x q^(n-x)            { x varies from 0 to n}

        = ∑(e)^tx (nCx) (pe^t)^x q^(n-x)

          = (q +pe^t)^n

The expansion of this binomial is purely algebraic and need not to be interpreted in terms of probabilities.

WE get the moments by differentiating M₀(t)  once, twice, etc. with respect to t and putting t=0

Thus

μ₁`  = E(X) = [ d/dt (q +pe^t)^n]    t=0

     = [ npe^t (q +pe^t)^n-1]  t=0  

     = np

And

μ₂`  = E(X²) = [ d²/dt² (q +pe^t)^n]    t=0

      = [ npe^t (q +pe^t)^n-1]    +  [ n(n-1)p²e^²t (q +pe^t)^n-2]    t=0

= np + n(n-1)p²

Variance= μ₂= μ₂`  - μ₁`²

             σ² =E(X²)-  E(X)²

              σ² =np + n(n-1)p²- (np )²

             σ²   =npq

Standard Deviation= √ σ²   = √npq

problem: – 12 = - Зу

Answers

Answer:

4y or 4 (divide)

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

Is this what you wanted?

What is m<XYZ? I don't know how to solve

Answers

Answer:

<XYZ = 83

Step-by-step explanation:

we can see that the line XY is tangent to point Y

we can also the see that <XYZ intersects the line that forms arc 166

when a tangent line intersect the line that forms an arc, the angle formed by the tangent will be equal to half of the arc

so in other words angle XYZ is 0.5 of Arc 166

so <XYZ = 83

Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct

Answers

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

Answer:

yes

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = - x + 7 → (2)

Substitute y = x + 3 into (2)

x + 3 = - x + 7 ( add x to both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the functions intersect at x = 2

how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?​

Answers

Answer:

An example can be 14 + (-14) = 0

Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.

Step-by-step explanation:

Hope this helps!

how important is writing the polynomial in standard form when dividing polynomial​

Answers

It is verg important because once diving "The length of one cathetus in a right triangle with equal catheti is the squareroot of half of the squared hypotenuse. And yeah

Find the inequality represented by the graph - khan academy
PLEASE HELP

Answers

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y x - 1.

PLEASE HELP ME OUT I NEED HELP

Answers

y=2/2x+2 or y=1x+2 i think


Please help I don’t get it

Answers

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.

Help get brainiest if u help

Answers

Answer:

32ft by 20ft

Step-by-step explanation:

8x4 and 5x4

Which pairs of triangles appear to be congruent? Check all that apply

Answers

Answer:

B, D, and F

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

B because they are both congruent the only difference is that shape 4 is in a angle and E the only difference is that 2 is bigger but they are still congruent.

I NEED HELP ASAP!!!!!!!

Answers

Step-by-step explanation:

We know that m<1 = m<2 ( being alternate angels) So,

4+ 12x = 11x +12

12x - 11x = 12 - 4

x = 8

Therefore x = 8

Now

m<1 = 4 + 12 * 8

= 4 + 96

= 100

Hope this helps. :)

4=8b what does b equal

Answers

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation:

3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation.
*
A. O d=10m
B. O d=m+10
C. O d=10m + 10
D. O dem
10

Answers

Answer:

A

Step-by-step explanation:

if 3 miles for example were ran you would of course get $30 and the equation I used to figure that out was d=10(3) or with a variable d=10m

Solve for r
96=84-12r

Answers

Answer:

-1

Step-by-step explanation:

96=84-12r

96-84=-12r

12=-12r

-1=x

x=-1

R=-1
Step by step explanation:

i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2


this is for 30 points

Answers

Answer:

[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]

Step-by-step explanation:

[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]

Answer:

A.11^4/11^11

Step-by-step explanation:

Find all real values of x that satisfy the equation x^2 - 7x = 98.

Answers

Answer:

-7, 14

Step-by-step explanation:

We start by writing this in the form $x^2 + bx + c = 0$, so we subtract 98 from both sides of the equation.

This gives us $x^2 - 7x - 98 = 0$. We proceed by factoring $x^2 - 7x - 98$, so we seek numbers that multiply to $-98$ and add to $-7$. We find that $7$ and $-14$ work.

Thus, our equation becomes $(x + 7)(x - 14) = 0$. We can now apply the fact that if the product of two real numbers is zero, then at least one of the real numbers must be 0.

Solving $x + 7 = 0$ and $x - 14 = 0$, we find that the solutions are $\boxed{x  =-7~\text{and}~x = 14}$.

The value of the equation is given by x = 14 or x = -7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² - 7x = 98   be equation (1)

Subtracting 98 on both sides of the equation , we get

x² - 7x - 98 = 0

Now , on simplifying the equation , we get

x² - 14x + 7x - 98 = 0

Taking x as the common factor of the equation , we get

x ( x - 14 ) + 7 ( x - 14 ) = 0

On further simplification , we get

( x + 7 ) ( x - 14 ) = 0

Now , the two solutions to the equation is

( x + 7 ) = 0

Subtracting 7 on both sides of the equation , we get

x = -7

( x - 14 ) = 0

Adding  14 on both sides of the equation , we get

x = 14

Therefore , the value of A is 14 or - 7

Hence , the equation x² - 7x - 98 = 0 has the solutions of 14 and -7

To learn more about equations click :

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Sora correctly solved this inequality.
-2. 1w> 12.81
w<-6.1
Which graph matches the inequality?

Answers

Answer: The third one

Step-by-step explanation: open circle, with crocodile sign pointing to right which means u have to go left! Have a nice day!!

Answer:

C) a number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.

Step-by-step explanation:

Open circle means < or >

Closed circle means < or >

So has to be an open circle since the sign is <. it also says w < -6.1

so w has to be less than -6.1. So less than -6.1 would be -6.2, -6.3, -6.4etc.

A new car, valued at $28,000, depreciates at 9% per year. What is the value of the
car one year after purchase?

Answers

I believe the answer is $25,480

Answer:

25480

Step-by-step explanation:

28000 x 0.91

Students in Mr. Lewis's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?

Answers

Answer:

Ramon will read 70 each night.

Step-by-step explanation:

25% of 280

REMEMBER: "Of" means to multiply

25% x 280

Convert the percent into a decimal

0.25 x 280 = 70

So Ramon will read 70 pages each night.

Hope this helps!!

(2.0 x 10-3) (3.5 x 10)
What is the value of the expression?

Answers

Answer:

595

Step-by-step explanation:

SOLUTION STEPS

(2.0×10−3)(3.5×10)

Multiply 2 and 10 to get 20.

(20−3)×3.5×10

Subtract 3 from 20 to get 17.

17×3.5×10

Multiply 17 and 3.5 to get 59.5.

59.5×10

Multiply 59.5 and 10 to get 595.

595

PLEASE ANSWER 19 PLEASE

Answers

Answer:

Step-by-step explanation:

Neither

While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?

Answers

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

Question 1: The slope of the line that goes through (5,12) and (10,9) is?

Question 2: The y-intercept of the line that goes through (5,12)and (10,9) is?

Answers

Answer to 1 is -3/5

Em um show foram 150 mil pessoas. Sendo 1/4 de pessoas estavam no camarote rosa, 1/5 no camarote lilas, 2/5 no camarote Amarelo, e 15% na pista. Qual foi o local que obteve maior número de pessoas? * 1 ponto a) Camarote Rosa b) Camarote Lilas c) Camarote Amarelo d) Pista

Answers

Responda:

camarote Amarelo

Explicação passo a passo:

Dado que:

Número total de pessoas = 150.000

Caixa rosa: 1/4 * 150.000 = 37.500

Caixa Lilax: 1/5 * 150.000 = 30.000

Caixa amarela: 2/5 * 150.000 = 60.000

Faixa = 0,15 * 150.000 = 22.500

Portanto, a caixa amarela tem mais gente

exposed clout chaser

Answers

Answer:

lol thanks for the free points

Step-by-step explanation:

Answer:

Exposed UwU

Have a great day

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