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Montano1993 [528]
3 years ago
11

Determine the value of “m” in the parallelogram below.

Mathematics
2 answers:
vodomira [7]3 years ago
7 0

Answer:

m= 170

Step-by-step explanation:

Given that this is a parallelogram, we know that 70°+(m-60)° has to equal 180°. So, we can set it up like this: 180-70=(m-60) and solve from there. The next step: 110= (m-60). Then, isolate the variable (add 60 on both sides):110+60=m. So, m=170.

AnnyKZ [126]3 years ago
6 0

Answer:

m = 170

Step-by-step explanation:

The angles are supplementary so they add to 180 degrees

70 + m-60 = 180

Combine like terms

10 + m = 180

Subtract 10 from each side

10-10 +m = 180-10

m = 170

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Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. he calculates that the extr
Scrat [10]

The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.

<h3>What is simple interest?</h3>

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We know the formula for the simple interest is given by:

I = PRT

Where I is the simple interest.

P is the principal amount

R is the rate of interest

We have in the question:

I = $180

R = 2% = 0.02

T = 1  year

Put the above values in the formula, we get:

180 = P(0.02)(1)

P = $9000

The additional interest Benson pay each month is:

= 9000/12

= $750

Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.

Learn more about the simple interest here:

brainly.com/question/22621039

7 0
2 years ago
If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
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Talja [164]

we;retk;tykh'tk';rekw'kr'e

6 0
3 years ago
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4 0
2 years ago
99 POINTS! If the area of the figure is 16 square centimeters, what is the height of the triangle?
erastovalidia [21]

Answer:

The height of the triangle is 3.2 cm.

Step-by-step explanation:

The area of the triangle = 16 cm^2

Base of the triangle = 10 cm

Height of the triangle = h cm

Area of the triangle = \frac{1}{2}\times Base\times height

16 cm^2=\frac{1}{2}\times 10 cm \times h

h = 3.2 cm

The height of the triangle is 3.2 cm.

8 0
2 years ago
Read 2 more answers
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