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3 years ago

Which can be a next step in the construction of an angle with a side on line l that is congruent to ∠ABC?

Mathematics

1 answer:

8090 [49]3 years ago

4 0

Answer:

The next step is draw a line connecting the point F and the point lies on ray l.

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You have $5600. The best interest rate you can find is 3%

EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

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

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

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

Taking logs on both sides

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

This gives

$log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}$

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0

2 years ago

Find exact values for sin θ and cos θ if tan θ = -√3 and θ terminates in Quadrant II.

vivado [14]

Hello :
<span>tan θ = -√3
sin</span>θ = √3/2 1/2
cosθ = -1/2

5 0

3 years ago

I'm not sure how to do the top part , so far I flipped a sample of ten coins three times

Firdavs [7]

Basically, you just want to keep flipping a coin a total of 10 times, 27 more times. (If that makes any sense) You also want to keep recording the number of heads in each set of 10.

3 0

3 years ago

The product of x and y is less than or equal to 4.

timama [110]

Answer:

xy (less than or equal to sign) 4

5 0

4 years ago

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x)=x^2, which of th

vesna_86 [32]

To stretch it vertically, you'll need a coefficient greater than 1 in front of the x. If you want to flip the graph over the x axis that coefficient needs to be negative. So it can only be D

5 0

3 years ago

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