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m_a_m_a [10]
3 years ago
15

After 10 months the simple interest earned annually on an investment of $6000 was $769. Find the interest rate to the nearest te

nth of a percent.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0
Simple interest = $769
Principal = $6000
Rate = ?
Time = 10 months (must convert to years if in months) = 10/12 = 0.833
Formula
I = prt
Substitute
769 = 6000 × r × 0.833
769 = 4998r
Divide both sides by 4998
769/4998 = 4998r/4998
0.15386 = r
(to the nearest tenth of a percent) = 0.15
Therefore, your rate is 0.15%.
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Can someone help me with this question?
photoshop1234 [79]

Answer:

yes, AA

Step-by-step explanation:

since both have 90 degree angles, and 62+28 is also 90, all 3 sets of angles are congruent

5 0
3 years ago
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
Please help with part b
timofeeve [1]

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

5 0
3 years ago
Jake Winters plans to invest $7,400.
spin [16.1K]
7844=7400(1+(8/12)r)
Solve for r
R=0.09*100=9%
3 0
3 years ago
Y varies directly as x and y =18 when x=1/2 write an equation that relates y and x
marusya05 [52]

Answer:

y = 36x

Step-by-step explanation:

Given that y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 18 when x = \frac{1}{2}, thus

k = \frac{y}{x} = \frac{18}{\frac{1}{2} } = 36

y = 36x ← equation of variation

6 0
3 years ago
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