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yulyashka [42]
1 year ago
10

Casey deposited $1,450 in a bank account with an interest rate of 4% How much simple interest was earned in two years? Is the an

swer $116?
Mathematics
1 answer:
pantera1 [17]1 year ago
7 0

Answer:

The simple interest was earned is $116

Yes; the answer is $116

Step-by-step explanation:

- The rule of the simple interest is:

→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate

of interest in decimal, and t is the time of investment

- Casey deposited $1,450 in a bank account with an interest rate of 4%

- We need to find the amount of interest Casey earned in two years

- The interest is simple

∵ P = $1450

∵ r = 4% = 4/100 = 0.04

∵ t = 2 years

∵ The interest is simple

∴ <em>I = Prt</em>

- Substitute the values of P , r , t in the rule

∴ I = 1450 × 0.04 × 2 = 116

∴ <em>The simple interest was earned is $116</em>

* <em>Yes; the answer is $116</em>

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yan [13]

Answer:

h=588

Step-by-step explanation:

Given the fraction \dfrac{4,704}{h}

Consider its numerator and factor it:

4,704=2^5\cdot 3\cdot 7^2

You cann not take the cube root from 3, 7^2, 2^5, you can only take the cube root from 2^3, then the smallest whole number h such that \dfrac{4,704}{h} is a cube number is

h=2^2\cdot 3\cdot 7^2=4\cdot 3\cdot 49=588

When h=588,

\dfrac{4,704}{588}=8=2^3

6 0
1 year ago
Solve the inequality for x, assuming that a, b, and c are positive constants.
Fynjy0 [20]
A(bx − c) ≥ bc, implies (bx − c) ≥ bc /a  and then  bx  ≥ bc/a + c, x<span>≥ c/a +c/b
so the solution is </span><span>3. [c/a + c/b, infinity)</span>
4 0
1 year ago
A band director uses a coordinate plane to plan as how for a football game. During a show, the drummers will march along the lin
LenaWriter [7]

Answer:

The equation in slope-intercept form for the path of the trumpet players is y=\frac{x}{5}+\frac{12}{5}.

Step-by-step explanation:

Consider the provided information.

The drummers will march along the line y=-5x-8.

The trumpets players will march along a perpendicular line that passes through (-2,2).

The slope of line y=-5x-8 is: m₁ = -5.

The slope of perpendicular lines are: m_1\times m_2=-1

-5\times m_2=-1

m_2=\frac{1}{5}

Hence, the slope of the line should be 1/5.

The line passes through (-2,2).

Now use point slope form to find the equation of line.

y-y_1=m(x-x_1)

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.

y-2=\frac{1}{5}(x+2)

y-2=\frac{x}{5}+\frac{2}{5}

y=\frac{x}{5}+\frac{2}{5}+2

y=\frac{x}{5}+\frac{12}{5}

Hence, the equation in slope-intercept form for the path of the trumpet players is y=\frac{x}{5}+\frac{12}{5}.

4 0
1 year ago
A city water department is proposing the construction of a new water pipe, as shown. the new pipe will be perpendicular to the o
vitfil [10]
I found a similar problem to your problem here, which is shown in the attached picture. So, from the picture, we have to find the equation for the red line. All we have to do is find two points of the line. That would be: Point 1(2,0) and Point 2(-2,3). The general equation would be:

y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)

Substituting the coordinates to the equation,

y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>

4 0
1 year ago
The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while Set B
alexdok [17]

Answer:

U  ={ Parallelograms}

A= { Parallelogram with four congruent sides}={ Rhombus,Square}

B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}

So, AB= { Square}

So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.



5 0
1 year ago
Read 2 more answers
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