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Tpy6a [65]
3 years ago
13

Find x. Pls helppppppp

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Step-by-step explanation:

Angles DEC and DFC are both 90°, therefore DC is the diameter of the circle.

That makes angle DBC = 90° as well, so x = 90.

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You have $192.00 to buy T-shirts for a club. A T-shirt costs $12.00. Which inequality represents the number x of T-shirts you ca
Vaselesa [24]

Answer:

X is less than or equal to 16

Step-by-step explanation:

8 0
3 years ago
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
Dmitry [639]

Answer:

<em>The account will take 7 years to reach a value of $4,020</em>

Step-by-step explanation:

<u>Compound Interest </u>

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}

Calculating:

{\displaystyle 4,020=2,700\left(1.0045)^{12t}}

Dividing by 2,700:

{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}

To solve this equation for t, we need to apply logarithms:

{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}

Applying the logarithm power rule:

\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045

Dividing by 12log 1.0045:

\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0
3 years ago
Read 2 more answers
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I think that the answer to this is: n X m
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3 years ago
calculate the distance between the two points shown on the graph below give your answer correct to 2 decimal places if necessary
GenaCL600 [577]

Answer:

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=

=16+9−−−−−√=25−−√=5

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

(x1+x22,y1+y22)

4 0
3 years ago
What is the midpoint between <br> (-1,1) and (-5,12)
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(-3, 23/2)

the picture i linked shows the step by step

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