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wlad13 [49]
3 years ago
13

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of th

e triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees. What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22
Mathematics
2 answers:
liraira [26]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25

RoseWind [281]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

8x+11=180-79

8x+11=101

8x=90

x=11.25

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When you start your career, you decide to set aside $250 every month to deposit into an investment account. The investment firm
alexandr1967 [171]

After 20 years of depositing and investing there will be 168474.01 dollars in your account.

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

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

The formula for calculating how much money will your account be worth after 20 years of depositing and investing is:

P = $250, r = 9% = 0.09, t = 20 years, n = 12 and PMD = $250(per month deposit)

\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}

\rm A = 250(1+\dfrac{0.09}{12})^{12\times20}+\dfrac{250((1+\dfrac{0.09}{12})^{12\times12}-1)}{\dfrac{0.09}{12}}

A = 1502.287 + 166971.717

A = $168474.01

Thus, after 20 years of depositing and investing there will be 168474.01 dollars in your account.

Learn more about the compound interest here:

brainly.com/question/26457073

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2 years ago
Which shows the correct substitution of the values a,b,and c from the equation 0=4x^2+2x-1 into the quadratic formula below
lutik1710 [3]

Given quadratic equation : 0 = 4x^2+2x- 1

Let us apply standard quadratic form 0=ax^2+bx+c

We know, quadratic formula

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Now we plug in all the values in quadratic formula

x = \frac{-b+-\sqrt{b^2-4ac}}{2a} \\ x = \frac{-2+-\sqrt{2^2-4(4)(-1)}}{2(4)}\\ x = \frac{-2+-\sqrt{18}}{8}.

<h3>The above one is the substitution of values of a,b,c in quadratic formula.</h3>
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3 years ago
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What is the sum of -17 and -4
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-21 kk have a nice day
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Answer:

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Step-by-step explanation:

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