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3 years ago

Find the measures of the indicated angle to the nearest degree.

Mathematics

1 answer:

Nata [24]3 years ago

8 0

Answer:

? = 13.6

Step-by-step explanation:

Let unknown angle be x

tan x = p/b

tan x = 8/33

x =tan‐¹(8/33)

or, x = 13.62699486

so, x = 13.6

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You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon

sergejj [24]

Answer:

$13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

$1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

A = P(r/12)/(1 -(1 +r/12)^(-12n))

= $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0

3 years ago

Evan paid $60.54 for 3 notebooks and a calculator. If the calculator costs $45.87, how much does each notebook cost? Write a two

Aleonysh [2.5K]

Answer: 4.89$

Step-by-step explanation:

60.54 is starting amount then subtract 45.87 left with 14.67 then divide by 3 get 4.89

60.54-45.87=14.67

14.67/3=4.89

7 0

3 years ago

Read 2 more answers

A set of equations is given below:

miv72 [106K]

<span>Equation F can be written as 2d + 1 = 3d + 7.</span>

5 0

3 years ago

A parabola has a vertex at (3, -2). What is the axis of symmetry? x = _____

nikdorinn [45]

Answer:

x =3

Step-by-step explanation:

The axis of symmetry is at the vertex

The x coordinate gives the axis of symmetry

x =3

8 0

3 years ago

Read 2 more answers

How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

• The linear equation does not have a y-intercept

• The table and the grahp express an equivalent function

8 0

11 months ago

Find the measures of the indicated angle to the nearest degree.​

Find the measures of the indicated angle to the nearest degree.