Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

Answers

Answer 1

Answer: The future amount of money that is invested currently at a certain interest that is compounded annually is calculated through the equation,
F = P x (1 + i)^n
where F is the future worth, P is the present worth, i is the interest rate, and n is the number of years. Substituting the known values and variables in the given, F = ($360)(1.03)^x

Answer 2

Answer:

Answer: $y = 360(1.03)^x$

Step-by-step explanation:

Since, the principal amount of the money = $ 360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3 %,

$= 360(1+(3)/(100) )^x$

$= 360(1+0.03 )^x$

$= 360(1.03 )^x$

Since, this amount represented by y,

Thus, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

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A scientist needs 10 litera of a 20% acid solution for an experiment but she has only 5% solution and a 40% solution. To the nearest tenth of a liter, how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?

Answers

x = liters of 5% solution

y = liters of 40% solution

The scientist wants 10 L total of a 20% solution, so

x + y = 10

0.05 x + 0.40 y = 0.20 (x + y) = 2

From the first equation,

y = 10 - x

Substitute this into the second equation and solve for x :

0.05 x + 0.40 (10 - x) = 2

0.05 x + 4 - 0.40 x = 2

2 = 0.35 x

x ≈ 5.714 L

Solve for y :

y = 10 - x

y ≈ 4.286 L

Factor the polynomial.

54c3d4 + 9c4d2

Answers

$54c*3d^4+9c*4d^2$

$162cd^4+9c*4d^2$

$162cd^4+36cd^2$

A pile of sand has a weight of 90kg.The same is put into a small bag, a medium bag and a large bag in the ratio of 2:3:7.Work out the weight of sand in each bag

Answers

Remark

This requires some sort of constant that each of the ratio members is multiplied by.

Call the constant x

Equation

2x + 3x + 7x = 90 Add the left hand side

Solution

12x = 90 Divide by 13

x = 90 /12

x = 7,5

Answer

2x = 2 * 7.5

2x = 15

3x = 22.5

7x = 52.5

Sum = 90 as it should be

The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:Step 1: 2(y + 8) = 4y
Step 2: 2y + 10 = 4y
Step 3: 2y = 10
Step 4: y = 5

Which of the following explains how to correct Step 2 and shows the correct value of y?

The equation should be y + 8 = 4y after division by 2; y = 4
The equation should be y + 8 = 4y after division by 2; y = 6
2 should be distributed as 2y + 16; y = 4
2 should be distributed as 2y + 16; y = 8

Answers

Step 2 should be distributed as 2y+16;y=8

You cannot combine 2 and y because they are not like terms. The answer is D.

A club with 30 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Answers

A club has 30 members and they need to elect 5 officers, the President, V-Pres., the secretary, the treasurer and the historian.
Find how can this be done?

Now, let’s try to solve by finding the possible ways to make this election.
30 People is to 5 = 30P5
=> 30! / (30 - 5)!
=> 30! / 25
=> 30 x 29 x 28 x 27 x 26
=> 17 100 720

Thus, the answer is 17 100 720

Answer:

17,100,720

Step-by-step explanation:

got it right

If m<1=140, what is m<3

Answers

m < 1 = 140
m < 2 = 40

m < 2 + 90 + m < 3 = 180..(total of angles in a triangle are 180)
40 + 90 + <3 = 180
130 + <3 = 180
m < 3 = 180 - 130
m < 3 = 50

I assure you the answer is 50!

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