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3 years ago

I NEED HELP PLEASEEeeeeee

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

X=18

Explanation:

The sum of the 3 angles in a triangle is 180∘

hence , the sum of the 3 angles given must equal 180

We can form an equation

2x + 3x + 5x = 180 ⇒10x=180⇒x=180/10
x=18

2(x) = 2(18)=36
3(18)=54
5(18)=90

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Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Jet001 [13]

Answer:

The value of annuity is $P_v = \$ 32058$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 1500$

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Frequency at which it occurs in a year is n = 2 (semi-annually )

The number of years is $t = 22 \ years$

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

$P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]$

$P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]$

$P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]$

$P_v = \$ 32058$

8 0

3 years ago

Frank has 24 pennies, 62 nickels, 55 dimes, 16 quarters, and 19 fifty-cent pieces. How much money does he have?

DedPeter [7]

Answer:

$22.34

Step-by-step explanation:

really simple.

just multiply the number by how much the coin is worth

24 x 1 = 24

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19 x 50 = 950

then add all of them

24 + 310 + 550 + 400 + 950 = 2234

and finally divide it by 100

2234 ÷ 100 = 22.34

and just pop in a dollar sign

$22.34

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$\bf \qquad \qquad \textit{direct proportional variation}\\\\
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\begin{array}{llll}
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\qquad variation
\end{array}\\\\
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3 years ago

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MissTica

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Step-by-step explanation:

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