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3 years ago

Compute the amount of interest earned in the following simple interest problem.

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer:

Interest earned $151.67

Step-by-step explanation:

To find out the amount of interest earned by simple interest.

Deposit = $7,000

Rate of interest = 6.5%

Time = 120 days

To calculate the interest of simple interest deposit, we use the formula :

I = Prt

I = Interest of the amount

P = Principal amount

r = Rate of interest ( in decimal )

t = time (in year)

Here we have to calculate the interest for 120 days so t would be 120 ÷ 360

I = 7000 × 0.065 × 120 ÷ 360

I = $151.666 ≈ $151.67

Interest earned $151.67

Flura [38]3 years ago

4 0

I=prt
I=7,000×0.065×120÷360
I=151.67

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The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3

Vlad1618 [11]

Answer:

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Step-by-step explanation:

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3 years ago

1. Find the value of 8.3 x 24.2 x 0.03. Round your answer to the nearest hundredth.

MrMuchimi

The rounded value is option B) 6.03 which is rounded to the nearest hundredth.

Step-by-step explanation:

To find the value of 8.3 x 24.2 x 0.03, we need to multiply the given numbers to get a decimal value.
And then, after getting the value of 8.3 x 24.2 x 0.03 it should be rounded to the nearest hundredth.

So, let's multiply the numbers first :

8.3 × 24.2 × 0.03 = 6.0258

The value is 6.0258

To round the value 6.0258 to the nearest hundredth :

The first number next to the decimal point represents the tenth.
The second number next to the decimal point is the hundredth.
The third number next to the decimal point is thousandth.

Therefore, to round the value to the nearest hundredth, look for the thousandth number is either less than 5 or greater and or equal to 5.

If, thousandth place is greater or equal to 5, then the hundredth number should be increased by 1.

The hundredth is 6.02 and the number in the thousandth place is 5. So add 1 to the hundredth place.

The value is rounded to 6.03 to the nearest hundredth.

5 0

3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

Describe the vector as an ordered pair around coordinates to the nearest 10th the diagram is not drawn to scale

xxMikexx [17]

Answer:

see explanation

Step-by-step explanation:

x = r cosΘ

y = r sinΘ

with r = 54 and Θ = 69°, thus

x = 54cos69° ≈ 19.4

y = 54sin69° ≈ 50.4

Thus (54, 69° ) as an ordered pair

= $\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]$

4 0

2 years ago

PLEASE ANSWER THIS IS REALLY IMPORTANT!!!

Elan Coil [88]

Answer: C
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4 0

2 years ago

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