7/5+(-5/12) in commutative property (addition)

Jamie deposits $1,600 into two different savings accounts. Account I is compounded annually at an interest rate of 2.75%. Accoun

GrogVix [38]

Answer:

Step-by-step explanation:

Considering account I, we would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1600

r = 2.75% = 2.75/100 = 0.0275

n = 1 because it was compounded once in a year.

t = 2 years

Therefore,

A = 1600(1 + 0.0275/12)^1 × 2

A = 1600(1.0275)^2

A = $1689.21

Considering account II, we would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the investment.

P represents the principal or amount invested

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1600

R = 3.5

T = 2 years

I = (1600 × 3.5 × 2)/100 = $112

Total balance after 2 years is

112 + 1600 = $1712

the difference between the two accounts after 2 years is

1712 - 1689.21 = $22.79

4 0

3 years ago

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

2 years ago

5p + 3 = 15<br>please make this into a word problem

Pani-rosa [81]

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

<h3>Subtract three from both sides</h3><h3 />

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

4 0

2 years ago

The length of a rectangle is 4 meters less than three times its width. Its area is 615 square meters. What are the dimensions of

Anarel [89]

Area= length*width

width=W

W*(3W-4)=615
3W^2-4W=615
3W^2-4W-615=0
W=41
W=-45
But W cant be a negative number so it is 41m (width)
The length is (41*3)-4=119m (length)

6 0

3 years ago

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

masha68 [24]

<span>Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:</span>

y-y₁ = m(x-x₁), where,

m = (y₂-y₁)/(x₂-x₁) is the slope of the line

(x₁,y₁) and (x₂,y₂) are the coordinates of the two points

On the other hand, the slope-intercept form is written as:

y = mx + b, where,

m is the slope of the line

b is the y-intercept

In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.

6 0

3 years ago

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