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3 years ago

8

HELP!!!!! This is due to DAy]

2 answers:

kompoz [17]3 years ago

8 0

Answer:

D. 9

Step-by-step explanation:

9 is odd, however it is a composite number. That is the opposite of what the conditional is saying.

iris [78.8K]3 years ago

5 0

You answer would me 9 I am pretty sure I hope that this answer helps you

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The measure of an angle is 12° less than twice the measure of its supplement. What is the measure of the angle?

KiRa [710]

Answer:

The measurement of the required angle = 116°

Step-by-step explanation:

Let the measure of its supplement = x

The measurement of the required angle = 2x - 12

x + 2x -12 = 180

3x - 12 = 180

3x = 180 + 12

3x = 192

x = 192/3

x = 64°

The measurement of the required angle = 2 * 64 - 12 = 128 - 12 = 116°

6 0

3 years ago

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

$A(t) = P(1 + \frac{r}{n})^{nt}$

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

3 years ago

Find three points that solve , then plot on the graph. -2x-3y=-7

Fittoniya [83]

Hello,
The points are:
(2,1); (1,5/3); (5,-1)

Bye:-)

4 0

4 years ago

Find the value of x in similar polygons below

muminat

Answer:

Choice A

Step-by-step explanation:

When you have two shapes that are similar their sides are always proportional. So all we have to do is set up a proportion.

$\frac{18}{4.5}=\frac{x}{1.5}$

Now we cross multiply and solve

$27=4.5x\\x=6$

And that's it x equals 6 feet.

4 0

3 years ago

The measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?

xxTIMURxx [149]

9514 1404 393

Answer:

36°, 54°, 90°

Step-by-step explanation:

We have to assume that the given measures are <em>angle</em> ratios, not <em>side</em> ratios. Sides in the ratios 2:3:5 will not form a triangle.

For some multiplier x, the angle values will total 180°.

2x +3x +5x = 180

x = 180/(2+3+5) = 18

Then the angle measures are ...

2x° = 2·18° = 36°

3x° = 3·18° = 54°

5x° = 5·18° = 90°

The angle measures are 36°, 54°, and 90°.

6 0

3 years ago

Read 2 more answers