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Oduvanchick [21]
4 years ago
13

Help me answer this question

Mathematics
1 answer:
hram777 [196]4 years ago
5 0
In a triangle, a smaller angle projects a smaller side. x > y
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Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account
skelet666 [1.2K]
To solve this we are going to use formula for the future value of an ordinary annuity: FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so P=50 and t=3. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{4}{100}
r=0.04
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, n=12.
Lets replace the values in our formula:
FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]
FV=1909.08

We can conclude that after 3 years you will have $1909.08 in your account.
4 0
3 years ago
Read 2 more answers
Find the equation of the line that is perpendicular to y = –2x + 5 and contains the point
ivann1987 [24]

The given equation is: y+2x=5

To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.

The equation to a line perpendicular to it is:

$ 2y-x=c$

where, $c$ is some constant we have determine using the condition given.

It passes through $(2,-1)$

Put the point in our equation:

$2(-1)-(2)=c$

$c=-2-2$

$c=-4$

The final equation is:

$\boxed{ 2y-x=-4}$

4 0
3 years ago
WHAT IS THE EXPANDED FORM FOR <br><br> 902.604?
murzikaleks [220]

Answer:

(9 × 100) + (2 × 1) + (6 × 0.1) + (4 × 0.001)

Step-by-step explanation:

I am pretty sure

3 0
3 years ago
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HELP ASAP)
Lesechka [4]

Answer:

  • X = 70°
  • arc ZY = 140°
  • arc XY = 82°

Step-by-step explanation:

The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.

<h3>Theorems</h3>

The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...

  X +Y +Z = 180°

  X +69° +41° = 180°

The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.

  arc ZY = 2×∠X

  arc XY = 2×∠Z

<h3>Solutions</h3>

Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...

  X = 180° -110° = 70°

  arc ZY = 2×70° = 140°

  arc XY = 2×41° = 82°

5 0
2 years ago
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Algebra Test pls help
Levart [38]

Answer:

Option 3

y + 16 = 8(x + 2)

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • x = 2, 4, 6, 8
  • y = 16, 32, 48, 64

Now, Put the values in equation 1

y – 16 = 8(x – 2)

  • For x = 2 and y = 16

y – 16 = 8(x – 2)

16 – 16 = 8(2 – 2)

0 = 8

Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 2

y – 16 = 8x – 2

  • For x = 2 and y = 16

y – 16 = 8x – 2

16 – 16 = 8(2) – 2

0 = 14

Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 3

y + 16 = 8(x + 2)

  • For x = 2 and y = 16

y + 16 = 8(x + 2)

16 + 16 = 8(2 + 2)

32 = 8(4)

32 = 32

Here, L.H.S = R.H.S

Check other values of x and y

  • For x = 4 and y = 32

y + 16 = 8(x + 2)

32 + 16 = 8(4 + 2)

48 = 8(6)

48 = 48

Here, L.H.S = R.H.S

  • For x = 6 and y = 48

y + 16 = 8(x + 2)

48 + 16 = 8(6 + 2)

64 = 8(8)

64 = 64

Here, L.H.S = R.H.S

  • For x = 8 and y = 64

y + 16 = 8(x + 2)

64 + 16 = 8(8 + 2)

80 = 8(10)

80 = 80

Here, L.H.S = R.H.S

Thus, The equation 3 in point-slope from gives the plant's height at any time.

 

<u>-TheUnknownScientist 72</u>

5 0
3 years ago
Read 2 more answers
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