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3 years ago

Find the surface area of the trapezoidal

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

916 in.

Step-by-step explanation:

Step by Step.

5*10 = 50, and 50*2 = 100

10*4 = 40, and 40 * 2 = 80

(4*6)/2 = 12, and 12 * 2 = 24

10*10 = 100, and 100 * 2 = 200

16*16 = 256, and 256 * 2 = 512

Adding this together, we get: 916 inches.

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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

Triangles △ABC and △DFG are similar. The lengths of the two corresponding sides are 1.4m , and 56 cm. What is the ratio of the p

Feliz [49]

<h3>Answer:</h3>

5/2

<h3>Step-by-step explanation:</h3>

The ratio of perimeters is the same as the ratio of corresponding sides:

... (140 cm)/(56 cm) = 5/2

3 0

3 years ago

Read 2 more answers

What is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Bogdan [553]

$\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4$

4 0

3 years ago

Find the effective rate of interest for 1% compounded monthly.

natima [27]

Answer:

Find the effective rate of interest for 1% compounded monthly

Step-by-step explanation:

8 0

3 years ago

What is the slope of the line with an equation of 5x - 3y = -12

Hoochie [10]

Answer: $m=\frac{5}{3} =1.67$

Step-by-step explanation:

Original equation: $5x-3y=-12$
Subtract 5x from both sides of the equation: $-3y=-5x-12$
Divide both sides of the equation by -1: $3y=5x+12$
Divide both sides of the equation by 3 to get y on the left, leaving the equation in $y=mx+b$ form: $y=\frac{5}{3}x+4$
Evaluate. Slope is equal to m in this form, so the slope is $m=\frac{5}{3}$ .

Hope this helps!

5 0

2 years ago