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3 years ago

Hi everybody! I need help, and this question is worth TEN points!

Mathematics

1 answer:

harkovskaia [24]3 years ago

5 0

Answer:

Step-by-step explanation:

we know,

The Angle Addition Postulate states that: If a point lies in the interior of an angle, then the postulate describes that putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles.

Here, W is the internal point.

The two angles are UVW and WVX.

Now, by the angle addition postulate,

UVX is equal to the sum of UVW and WVX.

Hence, the reason is-

Angle Addition Postulate

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Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago

A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?

Iteru [2.4K]

Answer:

Step-by-step explanation:

138/8 = 17.25

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3 years ago

B + d = -2d + a solve for b

77julia77 [94]

I believe that it is b=-3d+a

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4 years ago

204/306 equivalent ratios

Fantom [35]

You would first find out the greatest common factor of 204 and 306 which is 102

204 divided by 102 which is 2
306 divided by 102 which is 3

So the answer is 2/3

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3 years ago

What is 4 3/7 written as an improper fraction?

aleksley [76]

31/7
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I hope this helps

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3 years ago

Read 2 more answers